id large_stringlengths 9 16 | title large_stringlengths 1 382 | abstract large_stringlengths 3 6.09k | publish_date date32 | update_date date32 | categories large listlengths 1 13 | authors large_stringlengths 3 62.8k |
|---|---|---|---|---|---|---|
patt-sol/9402003 | Domain Structures in Fourth-Order Phase and Ginzburg-Landau Equations | In pattern-forming systems, competition between patterns with different wave
numbers can lead to domain structures, which consist of regions with differing
wave numbers separated by domain walls. For domain structures well above
threshold we employ the appropriate phase equation and obtain detailed
qualitative agreemen... | 1994-02-18 | 2015-06-26 | [
"patt-sol",
"nlin.PS"
] | David Raitt (Northwestern University) and Hermann Riecke (Northwestern
University) |
patt-sol/9402002 | SUSY-Based Variational Method for the Anharmonic Oscillator | Using a newly suggested algorithm of Gozzi, Reuter, and Thacker for
calculating the excited states of one dimensional systems, we determine
approximately the eigenvalues and eigenfunctions of the anharmonic oscillator,
described by the Hamiltonian $H= p^2/2 + g x^4$. We use ground state
post-gaussian trial wave functio... | 1994-02-17 | 2009-10-28 | [
"patt-sol",
"nlin.PS"
] | Fred Cooper (LANL & UNH), John Dawson (UNH), and Harvey Shepard (UNH) |
patt-sol/9402001 | Structure And Dynamics Of Modulated Traveling Waves In Cellular Flames | We describe spatial and temporal patterns in cylindrical premixed flames in
the cellular regime, $Le < 1$, where the Lewis number $Le$ is the ratio of
thermal to mass diffusivity of a deficient component of the combustible
mixture. A transition from stationary, axisymmetric flames to stationary
cellular flames is predi... | 1994-02-04 | 2009-10-28 | [
"patt-sol",
"nlin.PS"
] | A. Bayliss, B. J. Matkowsky and H. Riecke (Department of Engineering
Sciences and Applied Mathematics Northwestern University, Evanston, IL) |
patt-sol/9401006 | Front Structures in a Real Ginzburg-Landau Equation Coupled to a Mean
Field | Localized traveling wave trains or pulses have been observed in various
experiments in binary mixture convection. For strongly negative separation
ratio, these pulse structures can be described as two interacting fronts of
opposite orientation. An analytical study of the front solutions in a real
Ginzburg-Landau equati... | 1994-01-28 | 2016-12-21 | [
"patt-sol",
"nlin.PS"
] | Henar Herrero (Departamento de Fisica y Matematica Aplicada, Facultad
de Ciencias, Universidad de Navarra, 31080 Pamplona, Navarra, Spain) and
Hermann Riecke (Department of Engineering Sciences and Applied Mathematics,
Northwestern University, Evanston, IL 60208, USA) |
patt-sol/9401005 | Kink stability, propagation, and length scale competition in the
periodically modulated sine-Gordon equation | We have examined the dynamical behavior of the kink solutions of the
one-dimensional sine-Gordon equation in the presence of a spatially periodic
parametric perturbation. Our study clarifies and extends the currently
available knowledge on this and related nonlinear problems in four directions.
First, we present the re... | 1994-01-24 | 2009-10-28 | [
"patt-sol",
"cond-mat",
"nlin.PS"
] | Angel Sanchez,(1,2) A R Bishop,(1) and Francisco Dominguez-Adame(3)
((1) Theoretical Division and Center for Nonlinear Studies, Los Alamos
National Laboratory, Los Alamos NM, USA (2) Escuela Politecnica Superior,
Universidad Carlos III de Madrid, 28913 Leganes, Madrid, Spain (3)
Departamento de Fisica de Materi... |
patt-sol/9401004 | Domain Structures and Zig-Zag Patterns Modeled by a Fourth-Order
Ginzburg-Landau Equation | Domain walls between spatially periodic patterns with different wave numbers,
can arise in pattern-forming systems with a neutral curve that has a double
minimum. Within the framework of the phase equation, the interaction of such
walls is purely attractive. Thus, they annihilate each other and, if the total
phase is n... | 1994-01-24 | 2008-02-03 | [
"patt-sol",
"nlin.PS"
] | David Raitt (Northwestern University), and Hermann Riecke
(Northwestern University) |
patt-sol/9401003 | Soliton solutions of the Hamiltonian DSI and DSIII equations | By introducing generalized Backlund Transformations depending on arbitrary
functions, wave and localized soliton solutions of the Davey- Stewartson
equations are generated. Moreover explicit soliton solutions of the Hamiltonian
DSI and DSIII equations are obtained. | 1994-01-10 | 2009-10-28 | [
"patt-sol",
"nlin.PS",
"nlin.SI",
"solv-int"
] | Flora Pempinelli (Dipartimento di Fisica dell'Universita` e Sezione
INFN - 73100 LECCE - Italy) |
patt-sol/9401002 | From Labyrinthine Patterns to Spiral Turbulence | A new mechanism for spiral vortex nucleation in nongradient reaction
diffusion systems is proposed. It involves two key ingredients: An Ising-Bloch
type front bifurcation and an instability of a planar front to transverse
perturbations. Vortex nucleation by this mechanism plays an important role in
inducing a transitio... | 1994-01-05 | 2009-10-28 | [
"patt-sol",
"nlin.PS"
] | Aric Hagberg and Ehud Meron (Arizona Center for Mathematical Sciences
and Program in Applied Mathematics, University of Arizona) |
patt-sol/9401001 | Hydrothermal Surface-Wave Instability and the Kuramoto-Sivashinsky
Equation | We consider a system formed by an infinite viscous liquid layer with a
constant horizontal temperature gradient, and a basic nonlinear bulk velocity
profile. In the limit of long-wavelength and large nondimensional surface
tension, we show that hydrothermal surface-wave instabilities may give rise to
disturbances gover... | 1994-01-04 | 2009-10-28 | [
"patt-sol",
"nlin.PS",
"nlin.SI",
"solv-int"
] | R. A. Kraenkel (IFT-UNESP/Sao Paulo/Brazil), J. G. Pereira (IFT-UNESP/
Sao Paulo/Brazil) and M. A. Manna (Univ. Montpellier II /Montpellier/ France) |
q-alg/9412016 | Macdonald's Evaluation Conjectures and Difference Fourier Transform | In the previous author's paper the Macdonald norm conjecture (including the
famous constant term conjecture) was proved. This paper contains the proof of
the remaining two (the duality and evaluation conjectures). The evaluation
theorem is in fact a $q,t$-generalization of the classic Weyl dimension
formula. As to the ... | 1994-12-30 | 2009-10-28 | [
"q-alg",
"math.QA"
] | Ivan Cherednik |
q-alg/9412013 | The McKay-Thompson series associated with the irreducible characters of
the Monster | Let $ \Bbb V = \coprod_{h = 0}^{\infty} \Bbb V_h$ be the graded monster
module of the monster simple group $\Bbb M$ and let $\chi_k$ be an irreducible
representation of $\Bbb M$. The generating function of $c_{hk}$ (the
multiplicity of $\chi_k$ in $\Bbb V_h$) is determined. Furthermore, the
invariance group of the modu... | 1994-12-28 | 2008-02-03 | [
"q-alg",
"math.QA"
] | Koichiro Harada and Mong Lung Lang |
q-alg/9412014 | Modular forms associated with the Monster module | We investigate the relation between the generating functions of the highest
weight vectors of the Monster module and the McKay-Thompson series. | 1994-12-28 | 2008-02-03 | [
"q-alg",
"math.QA"
] | Koichiro Harada and Mong Lung Lang |
q-alg/9412015 | Vertex--IRF correspondence and factorized L-operators for an elliptic
R-operator | As for an elliptic $R$-operator which satisfies the Yang--Baxter equation,
the incoming and outgoing intertwining vectors are constructed, and the
vertex--IRF correspondence for the elliptic $R$-operator is obtained. The
vertex--IRF correspondence implies that the Boltzmann weights of the IRF model
satisfy the star--tr... | 1994-12-28 | 2009-10-28 | [
"q-alg",
"hep-th",
"math.QA"
] | Youichi Shibukawa |
q-alg/9412012 | Highest Weight Representations of Quantum Current Algebras | We study the highest weight and continuous tensor product representations of
q-deformed Lie algebras through the mappings of a manifold into a locally
compact group. As an example the highest weight representation of the
q-deformed algebra $sl_q(2,\Cb)$ is calculated in detail. | 1994-12-22 | 2008-02-03 | [
"q-alg",
"alg-geom",
"hep-th",
"math.AG",
"math.QA"
] | Sergio Albeverio, Shao-Ming Fei |
q-alg/9412010 | Differential Calculus on the Quantum Sphere and Deformed Self-Duality
Equation | We discuss the left-covariant 3-dimensional differential calculus on the
quantum sphere $SU_q (2)/U(1) $. The $SU_q (2)$-spinor harmonics are treated as
coordinates of the quantum sphere. We consider the gauge theory for the quantum
group $SU_q (2)\times U(1) $ on the deformed Euclidean space $E_q (4)$. A
$q$-generaliz... | 1994-12-22 | 2008-02-03 | [
"q-alg",
"math.QA"
] | B.M.Zupnik |
q-alg/9412009 | Classification of the GL(3) Quantum Matrix Groups | We define quantum matrix groups GL(3) by their coaction on appropriate
quantum planes and the requirement that the Poincare series coincides with the
classical one. It is shown that this implies the existence of a Yang-Baxter
operator. Exploiting stronger equations arising at degree four of the algebra,
we classify all... | 1994-12-21 | 2008-02-03 | [
"q-alg",
"hep-th",
"math.QA"
] | Holger Ewen, Oleg Ogievetsky |
q-alg/9412007 | Central elements for quantum affine algebras and affine Macdonald's
operators | We describe a generalization of Drinfeld's description of the center of a
quantum group to the case of quantum affine algebras. We use the obtained
central elements to construct the affine analogue of Macdonald's difference
operators. | 1994-12-20 | 2008-02-03 | [
"q-alg",
"math.QA"
] | Pavel Etingof |
q-alg/9412008 | Projective Systems of Imprimitivity | We apply Mackey procedure of classifying projective systems of imprimitivity
to a thorough study of the projective unitary irreducible representations of
the Galilei group in 1+3 and 1+2 dimensions. | 1994-12-20 | 2008-02-03 | [
"q-alg",
"math.QA"
] | Dan Radu Grigore |
q-alg/9412004 | On Differential Structures on Quantum Principal Bundles | A constructive approach to differential calculus on quantum principal bundles
is presented. The calculus on the bundle is built in an intrinsic manner,
starting from given graded (differential) *-algebras representing horizontal
forms on the bundle and differential forms on the base manifold, together with
a family of ... | 1994-12-19 | 2008-02-03 | [
"q-alg",
"math.QA"
] | Mico Durdevic |
q-alg/9412005 | Geometry of Quantum Principal Bundles II-Extended Version | A general noncommutative-geometric theory of principal bundles is presented.
Quantum groups play the role of structure groups. General quantum spaces play
the role of base manifolds. A differential calculus on quantum principal
bundles is studied. In particular, algebras of horizontal and verticalized
differential form... | 1994-12-19 | 2008-02-03 | [
"q-alg",
"math.QA"
] | Mico Durdevic |
q-alg/9412006 | Classical Spinor Structures on Quantum Spaces | A noncommutative-geometric generalization of the classical concept of spinor
structure is presented. This is done in the framework of the formalism of
quantum principal bundles. In particular, analogs of the Dirac operator and the
Laplacian are introduced and analyzed. A general construction of examples of
quantum spac... | 1994-12-19 | 2008-02-03 | [
"q-alg",
"math.QA"
] | Mico Durdevic |
q-alg/9412002 | Clifford Algebras and Spinors for Arbitrary Braids | General braided counterparts of classical Clifford algebras are introduced
and investigated. Braided Clifford algebras are defined as Chevalley-Kahler
deformations of the corresponding braided exterior algebras. Analogs of the
spinor representations are studied, generalizing classical Cartan's approach.
It is shown tha... | 1994-12-19 | 2008-02-03 | [
"q-alg",
"math.QA"
] | Mico Durdevic and Zbigniew Oziewicz |
q-alg/9412001 | Self-Diagonal Tensor Powers of Quantum Groups and R-Matrices for Tensor
Products of Representations | Twisted tensor powers of quasitriangular Hopf algebras with diagonal
sub-Hopf-algebras (self-diagonal tensor powers) are introduced together with
their duals and their mutual *-structures as generalizations of the Drinfel'd
double as given by Reshetikhin and Semenov-Tian-Shansky. R-Matrices for tensor
products of repre... | 1994-12-19 | 2008-02-03 | [
"q-alg",
"math.QA"
] | Ralf A. Engeldinger |
q-alg/9412003 | On Braided Quantum Groups | A braided generalization of the concept of Hopf algebra (quantum group) is
presented. The generalization overcomes an inherent geometrical inhomogeneity
of quantum groups, in the sense of allowing completely pointless objects. All
braid-type equations appear as a consequence of initial axioms. Braided
counterparts of b... | 1994-12-19 | 2008-02-03 | [
"q-alg",
"math.QA"
] | Mico Durdevic |
quant-ph/9412011 | Two Mode Quantum Systems: Invariant Classification of Squeezing
Transformations and Squeezed States | A general analysis of squeezing transformations for two mode systems is given
based on the four dimensional real symplectic group $Sp(4,\Re)\/$. Within the
framework of the unitary metaplectic representation of this group, a
distinction between compact photon number conserving and noncompact photon
number nonconserving... | 1994-12-31 | 2009-10-28 | [
"quant-ph"
] | Arvind, B. Dutta, N. Mukunda and R. Simon |
quant-ph/9412010 | Quantum Averaging I: Poincar\'e--von Zeipel is Rayleigh--Schr\"odinger | An exact analogue of the method of averaging in classical mechanics is
constructed for self--adjoint operators. It is shown to be completely
equivalent to the usual Rayleigh--Schr\"odinger perturbation theory but gives
the sums over intermediate states in closed form expressions. The anharmonic
oscillator and the Henon... | 1994-12-30 | 2009-10-28 | [
"quant-ph"
] | Wolfgang Scherer |
quant-ph/9412009 | Superconvergent Perturbation Method in Quantum Mechanics | An analogue of Kolmogorov's superconvergent perturbation theory in classical
mechanics is constructed for self adjoint operators. It is different from the
usual Rayleigh--Schr\"odinger perturbation theory and yields expansions for
eigenvalues and eigenvectors in terms of functions of the perturbation
parameter. | 1994-12-30 | 2009-01-23 | [
"quant-ph"
] | Wolfgang Scherer |
quant-ph/9412008 | A general formulation of discrete-time quantum mechanics, restrictions
on the action and the relation of unitarity to the existence theorem for
initial-value problems | A general formlulation for discrete-time quantum mechanics, based on
Feynman's method in ordinary quantum mechanics, is presented. It is shown that
the ambiguities present in ordinary quantum mechanics (due to noncommutativity
of the operators), are no longer present here. Then the criteria for the
unitarity of the evo... | 1994-12-28 | 2015-06-26 | [
"quant-ph"
] | M. Khorrami |
quant-ph/9412006 | Kochen-Specker theorem for 8-dimensional space | A Kochen-Specker contradiction is produced with 36 vectors in a real
8-dimensional Hilbert space. These vectors can be combined into 30 distinct
projection operators (14 of rank 2, and 16 of rank 1). A state-specific variant
of this contradiction requires only 13 vectors, a remarkably low number for 8
dimensions. | 1994-12-26 | 2009-10-28 | [
"quant-ph"
] | Michael Kernaghan and Asher Peres |
quant-ph/9412007 | Infinite matrices may violate the associative law | The momentum operator for a particle in a box is represented by an infinite
order Hermitian matrix $P$. Its square $P^2$ is well defined (and diagonal),
but its cube $P^3$ is ill defined, because $P P^2\neq P^2 P$. Truncating these
matrices to a finite order restores the associative law, but leads to other
curious resu... | 1994-12-26 | 2009-10-28 | [
"quant-ph"
] | Ofir E. Alon, Nimrod Moiseyev, and Asher Peres |
quant-ph/9412005 | On the Stronger Statement of Levinson's Theorem for the Dirac Equation | Recently a stronger statement of Levinson's theorem for the Dirac equation
was presented, where the limits of the phase shifts at $E=\pm M$ are related to
the numbers of nodes of radial functions at the same energies, respectively.
However, in this letter we show that this statement has to be modified because
the limit... | 1994-12-26 | 2007-05-23 | [
"quant-ph"
] | Zhong-Qi Ma (CCAST and Institute of High Energy Physics, Beijing) |
quant-ph/9412004 | Strong Determinism vs. Computability | Are minds subject to laws of physics? Are the laws of physics computable? Are
conscious thought processes computable? Currently there is little agreement as
to what are the right answers to these questions. Penrose goes one step further
and asserts that: {\it a radical new theory is indeed needed, and I am
suggesting, ... | 1994-12-23 | 2010-03-17 | [
"quant-ph",
"chao-dyn",
"nlin.CD"
] | C. Calude, D. I. Campbell, K. Svozil and D. \c{S}tef\u{a}necu |
quant-ph/9412003 | String Theory, Black Holes and Klein's Lemma | This is a writeup of a talk given at the Oskar Klein Centenery Symposium,
Stockholm, September 19-21, 1994. It is an essay on the black hole information
paradox and its connection with thermodynamics and the foundations of quantum
mechanics. | 1994-12-23 | 2007-05-23 | [
"quant-ph"
] | Ulf H. Danielsson (Institute for Theoretical Physics, Uppsala
University) |
quant-ph/9412002 | The Emergence of Classicality via Decoherence: Beyond the
Caldeira-Legget Environment | Maximally predictive states, as defined in recent work by Zurek, Habib and
Paz, are studied for more elaborate environment models than a linear coupling.
An environment model which includes spatial correlations in the noise is
considered in the non-dissipative regime. The Caldeira-Leggett model is also
reconsidered in ... | 1994-12-22 | 2007-05-23 | [
"quant-ph"
] | Michael R. Gallis |
quant-ph/9412001 | Photon Statistics of a Two-Mode Squeezed Vacuum | We investigate the general case of the photon distribution of a two-mode
squeezed vacuum and show that the distribution of photons among the two modes
depends on four parameters: two squeezing parameters, the relative phase
between the two oscillators and their spatial orientation. The distribution of
the total number ... | 1994-12-21 | 2008-11-26 | [
"quant-ph"
] | G. Schrade, V.M. Akulin, W.P. Schleich, and V.I. Man'ko |
quant-ph/9707040 | W(infty)-Covariance of the Weyl-Wigner-Groenewold-Moyal Quantization | The differential structure of operator bases used in various forms of the
Weyl-Wigner-Groenewold-Moyal (WWGM) quantization is analyzed and a
derivative-based approach, alternative to the conventional integral-based one
is developed. Thus the fundamental quantum relations follow in a simpler and
unified manner. An expli... | 1994-07-21 | 2009-10-30 | [
"quant-ph"
] | T. Dereli(METU), A. Vercin(Ankara U.) |
solv-int/9501001 | The Integrable Dynamics of Discrete and Continuous Curves | We show that the following geometric properties of the motion of discrete and
continuous curves select integrable dynamics: i) the motion of the curve takes
place in the N dimensional sphere of radius R, ii) the curve does not stretch
during the motion, iii) the equations of the dynamics do not depend explicitly
on the... | 1994-12-30 | 2008-02-03 | [
"solv-int",
"nlin.SI"
] | Adam Doliwa (Institute of Theoretical Physics, Warsaw University),
Paolo Maria Santini (Dipartimento di Fisica, Universita di Catania and INFN
Sezione di Roma) |
solv-int/9412007 | Bilinear Discrete Painleve-II and its Particular Solutions | By analogy to the continuous Painlev\'e II equation, we present particular
solutions of the discrete Painlev\'e II (d-P$\rm_{II}$) equation. These
solutions are of rational and special function (Airy) type. Our analysis is
based on the bilinear formalism that allows us to obtain the $\tau$ function
for d-P$\rm_{II}$. T... | 1994-12-23 | 2009-10-28 | [
"solv-int",
"nlin.SI"
] | J. Satsuma, K. Kajiwara, B. Grammaticos, J. Hietarinta and A. Ramani |
solv-int/9412006 | Integrable systems and Riemann surfaces of infinite genus | To the spectral curves of smooth periodic solutions of the $n$-wave equation
the points with infinite energy are added. The resulting spaces are considered
as generalized Riemann surfcae. In general the genus is equal to infinity,
nethertheless these Riemann surfaces are similar to compact Riemann surfaces.
After provi... | 1994-12-21 | 2016-01-19 | [
"solv-int",
"hep-th",
"nlin.SI"
] | Martin U. Schmidt |
solv-int/9412004 | Casorati Determinant Solutions for the Discrete Painlev\'e III Equation | The discrete Painlev\'e III equation is investigated based on the bilinear
formalism. It is shown that it admits the solutions expressed by the Casorati
determinant whose entries are given by the discrete Bessel function. Moreover,
based on the observation that these discrete Bessel functions are transformed
to the $q$... | 1994-12-15 | 2009-10-28 | [
"solv-int",
"hep-th",
"nlin.SI"
] | Kenji Kajiwara(Dept. Electrical Eng., Doshisha Univ.), Yasuhiro
Ohta(Dept. Appl. Math., Fac. Eng., Hiroshima Univ.), and Junkichi
Satsuma(Dept. Math. Sci., Univ. of Tokyo) |
solv-int/9412005 | Period preserving nonisospectral flows and the moduli space of periodic
solutions of soliton equations | Flows on the moduli space of the algebraic Riemann surfaces, preserving the
periods of the corresponding solutions of the soliton equations are studied. We
show that these flows are gradient with respect to some indefinite symmetric
flat metric arising in the Hamiltonian theory of the Whitham equations. The
functions g... | 1994-12-15 | 2016-01-19 | [
"solv-int",
"hep-th",
"nlin.SI"
] | P.G.Grinevich (Landau Institute for Theoretical Physics, Kosygina 2,
Moscow, Russia.), M.U.Schmidt (Institut f\"ur Theoretische Physik, Freie
Universit\"at Berlin, Arnimallee 14 - Berlin, Germany) |
solv-int/9412002 | Backlund Transformations and Hierarchies of Exact Solutions for the
Fourth Painleve Equation and their Application to Discrete Equations | In this paper we describe B\"acklund transformations and hierarchies of exact
solutions for the fourth Painlev\'e equation (PIV) $${\d^2 w\over\d
z^2}={1\over2w}\left(\d w\over\d z\right)^2 + {{3\over2}}w^3 + 4zw^2 +
2(z^2-\alpha)w+{\beta\over w},\eqno(1){\hbox to 16pt{\hfill}}$$ with $\alpha$,
$\beta$ constants. Speci... | 1994-12-09 | 2008-02-03 | [
"solv-int",
"nlin.SI"
] | Peter A. Clarkson and Andrew P. Bassom (Department of Mathematics,
University of Exeter, Exeter, U.K.) |
solv-int/9412003 | Symmetries and Exact Solutions of a 2+1-dimensional Sine-Gordon System | We investigate the classical and nonclassical reductions of the
$2+1$-dimensional sine-Gordon system of Konopelchenko and Rogers, which is a
strong generalisation of the sine-Gordon equation. A family of solutions
obtained as a nonclassical reduction involves a decoupled sum of solutions of a
generalised, real, pumped ... | 1994-12-09 | 2008-02-03 | [
"solv-int",
"nlin.SI"
] | P.A. Clarkson, E.L. Mansfield and A.E. Milne (Department of
Mathematics, University of Exeter, Exeter, U.K.) |
solv-int/9412001 | B\"acklund transformation and the construction of the integrable
boundary-value problem for the equation $u_{xx}-u_{tt}=e^u-e^{-2u}$ | B\"acklund transformation for the Bullough-Dodd-Jiber-Shabat equation
$u_{xx}-u_{tt}=e^u-e^{-2u}$ is found. The construction of integrable boundary
condition for this equation together with the algebro-geometric solutions
satisfying it are suggested. | 1994-12-05 | 2008-02-03 | [
"solv-int",
"nlin.SI"
] | R.A. Sharipov (Dep. of Math., Bashkir State University, Ufa, Russia),
R.I. Yamilov (Inst. of Math. UrO RAN, Chernishevsky 112, Ufa, Russia) |
solv-int/9411006 | Bilinear Structure and Exact Solutions of the Discrete Painlev\'e I
Equation | Bilinear structure for the discrete Painlev\'e I equation is investigated.
The solution on semi-infinite lattice is given in terms of the Casorati
determinant of discrete Airy function. Based on this fact, the discrete
Painlev\'e I equation is naturally extended to a discrete coupled system.
Corresponding matrix model ... | 1994-11-30 | 2008-02-03 | [
"solv-int",
"hep-th",
"nlin.SI"
] | Y.Ohta(Dept. Appl. Math., Hiroshima Univ.), K.Kajiwara(Dept. Elecrical
Eng., Doshisha Univ.), and J.Satsuma(Dept. Math. Sci., Univ. Tokyo) |
solv-int/9411005 | Limits to Extensions of Burgers Equation | The vector Burgers equation is extended to include pressure gradients and
gravity. It is shown that within the framework of the Cole-Hopf transformation
there are no physical solutions to this problem. This result is important
because it clearly demonstrates that any extension of Burgers equation to more
interesting ph... | 1994-11-17 | 2008-02-03 | [
"solv-int",
"astro-ph",
"chao-dyn",
"comp-gas",
"nlin.CD",
"nlin.CG",
"nlin.SI"
] | Steven Nerney (National Research Council Associate, NASA-Marshall
Space Flight Center, Alabama 35812), Edward J. Schmahl (Astronomy Department,
University of Maryland, College Park, MD 20742) and Z. E. Musielak
(Department of Mechanical and Aerospace Engineering, and Center for Space
Plasmas and Aeronomic Resea... |
solv-int/9411004 | Variable Coefficient Third Order KdV Type of Equations | We show that the integrable subclassess of a class of third order
non-autonomous equations are identical with the integrable subclassess of the
autonomous ones. | 1994-11-16 | 2009-10-28 | [
"solv-int",
"nlin.SI"
] | Metin Gurses and Atalay Karasu |
solv-int/9411003 | Integrable Trilinear PDE's | In a recent publication we proposed an extension of Hirota's bilinear
formalism to arbitrary multilinearities. The trilinear (and higher) operators
were constructed from the requirement of gauge invariance for the nonlinear
equation. Here we concentrate on the trilinear case, and use singularity
analysis in order to si... | 1994-11-16 | 2008-02-03 | [
"solv-int",
"nlin.SI"
] | J. Hietarinta (Department of Physics, University of Turku, 20500
Turku, Finland), B. Grammaticos (LPN, Universite Paris VII, Tour 24-14, 5eme
etage, 75251 Paris, France) and A. Ramani (CPT, Ecole Polytechnique, 91128
Palaiseau, France) |
solv-int/9411002 | On the Existence of Localized Excitations in Nonlinear Hamiltonian
Lattices | We consider time-periodic nonlinear localized excitations (NLEs) on
one-dimensional translationally invariant Hamiltonian lattices with arbitrary
finite interaction range and arbitrary finite number of degrees of freedom per
unit cell. We analyse a mapping of the Fourier coefficients of the NLE
solution. NLEs correspon... | 1994-11-14 | 2009-10-28 | [
"solv-int",
"nlin.SI"
] | S. Flach |
solv-int/9411001 | Boundary Value Problems For Integrable Equations Compatible With The
Symmetry Algebra | Boundary value problems for integrable nonlinear partial differential
equations are considered from the symmetry point of view. Families of boundary
conditions compatible with the Harry-Dym, KdV and MKdV equations and the
Volterra chain are discussed. We also discuss the uniqueness of some of these
boundary conditions. | 1994-11-09 | 2009-10-28 | [
"solv-int",
"nlin.SI"
] | Burak Gurel, Metin Gurses and Ismagil Habibullin |
solv-int/9410004 | Analytic Solutions of the Vector Burgers' Equation | The well-known analytical solution of Burgers' equation is extended to
curvilinear coordinate systems in three-dimensions by a method which is much
simpler and more suitable to practical applications than that previously used.
The results obtained are applied to incompressible flow with cylindrical
symmetry, and also t... | 1994-11-01 | 2008-02-03 | [
"solv-int",
"nlin.SI"
] | Steven Nerney ( National Research Council Associate, NASA-Marshall
Space Flight Center, Alabama 35812), Edward J. Schmahl (Astronomy Department,
University of Maryland, College Park, MD 20742) and Z. E. Musielak
(Department of Mechanical and Aerospace Engineering, and Center for Space
Plasmas and Aeronomic Rese... |
solv-int/9410003 | Transparent Potentials at Fixed Energy in Dimension Two. Fixed-Energy
Dispersion Relations for the Fast Decaying Potentials | For the two-dimensional Schr\"odinger equation $$ [- \Delta
+v(x)]\psi=E\psi,\ x\in \R^2,\ E=E_{fixed}>0 \ \ \ \ \ (*)$$ at a fixed
positive energy with a fast decaying at infinity potential $v(x)$ dispersion
relations on the scattering data are given.Under "small norm" assumption using
these dispersion relations we gi... | 1994-10-26 | 2009-10-28 | [
"solv-int",
"funct-an",
"hep-th",
"math.FA",
"nlin.SI"
] | Piotr G.Grinevich and Roman G.Novikov |
solv-int/9410002 | Maps, PDE's and Solitary Waves | We describe a map-based model which reproduces many of the behaviors seen in
partial differential equations (PDE's). Like PDE's, we show that this model can
support an infinite number of stationary solutions, traveling solutions,
breathing solutions, and elastically colliding solutions. Unlike PDE's, the
model can be a... | 1994-10-13 | 2015-06-26 | [
"solv-int",
"chao-dyn",
"nlin.CD",
"nlin.PS",
"nlin.SI",
"patt-sol"
] | Troy Shinbrot (Northwestern University), J.M. Ottino (Northwestern
University) |
solv-int/9410001 | Darboux Transformations from Reductions of the KP Hierarchy | The use of effective Darboux transformations for general classes Lax pairs is
discussed. The general construction of ``binary'' Darboux transformations
preserving certain properties of the operator, such as self-adjointness, is
given. The classes of Darboux transformations found include the multicomponent
BKP and CKP r... | 1994-10-11 | 2008-02-03 | [
"solv-int",
"nlin.SI"
] | J J C NIMMO(Department of Mathematics, University of Glasgow, Glasgow
G12 8QW, Scotland) |
solv-int/9409004 | On the Monge-Ampere equivalent of the sine-Gordon equation | Surfaces of constant negative curvature in Euclidean space can be described
by either the sine-Gordon equation for the angle between asymptotic directions,
or a Monge-Ampere equation for the graph of the surface. We present the
explicit form of the correspondence between these two integrable non-linear
partial differen... | 1994-10-03 | 2009-10-28 | [
"solv-int",
"nlin.SI"
] | E. V. Ferapontov and Y. Nutku |
solv-int/9409003 | Symmetry Reductions and Exact Solutions of Shallow Water Wave Equations | In this paper we study symmetry reductions and exact solutions of the shallow
water wave (SWW) equation $$u_{xxxt} + \alpha u_x u_{xt} + \beta u_t u_{xx} -
u_{xt} - u_{xx} = 0,\eqno(1)$$ where $\alpha$ and $\beta$ are arbitrary,
nonzero, constants, which is derivable using the so-called Boussinesq
approximation. Two sp... | 1994-09-23 | 2008-02-03 | [
"solv-int",
"nlin.SI"
] | Peter A. Clarkson and Elizabeth L. Mansfield (Department of
Mathematics, University of Exeter, Exeter, U.K.) |
solv-int/9409002 | New exact solutions for the discrete fourth Painlev\'e equation | In this paper we derive a number of exact solutions of the discrete equation
$$x_{n+1}x_{n-1}+x_n(x_{n+1}+x_{n-1})=
{-2z_nx_n^3+(\eta-3\delta^{-2}-z_n^2)x_n^2+\mu^2\over
(x_n+z_n+\gamma)(x_n+z_n-\gamma)},\eqno(1)$$ where $z_n=n\delta$ and $\eta$,
$\delta$, $\mu$ and $\gamma$ are constants. In an appropriate limit (1) r... | 1994-09-16 | 2015-06-26 | [
"solv-int",
"nlin.SI"
] | Andrew P. Bassom and Peter A. Clarkson (Department of Mathematics,
University of Exeter, Exeter, U.K.) |
solv-int/9409001 | Integrable Quantum Mappings | We discuss the canonical structure of a class of integrable quantum mappings,
i.e. iterative canonical transformations that can be interpreted as a discrete
dynamical system. As particular examples we consider quantum mappings
associated with the lattice analogues of the KdV and MKdV equations. These
mappings possess a... | 1994-09-02 | 2008-02-03 | [
"solv-int",
"nlin.SI"
] | H.W. Capel and F.W. Nijhoff |
solv-int/9408001 | Numerical investigation of iso-spectral cavities built from triangles | We present computational approaches as alternatives to the recent microwave
cavity experiment by S. Sridhar and A. Kudrolli (Phys. Rev. Lett. {\bf 72},
2175 (1994)) on iso-spectral cavities built from triangles. A straightforward
proof of iso-spectrality is given based on the mode matching method. Our
results show that... | 1994-08-17 | 2009-10-28 | [
"solv-int",
"nlin.SI"
] | Hua Wu and D. W. L. Sprung (Department of Physics and Astronomy,
McMaster University Hamilton, Ontario, Canada), J. Martorell (Dept.
d'Estructura i Constituents de la Materia, Facultat Fisica, University of
Barcelona, Spain) |
solv-int/9407005 | Integrable dynamics of a discrete curve and the Ablowitz-Ladik hierarchy | We show that the following elementary geometric properties of the motion of a
discrete (i.e. piecewise linear) curve select the integrable dynamics of the
Ablowitz-Ladik hierarchy of evolution equations: i) the set of points
describing the discrete curve lie on the sphere S^3, ii) the distance between
any two subsequan... | 1994-07-27 | 2009-10-28 | [
"solv-int",
"nlin.SI"
] | Adam Doliwa (Institute of Theoretical Physics, Warsaw University),
Paolo Maria Santini (Dipartimento di Fisica, Universita di Roma "La Sapienza"
and INFN Sezione di Roma) |
solv-int/9407004 | Integrable deformations of a polygon | The new integrable mapping with a simple geometric interpretation is
presented. This mapping arise from the nonlinear superposition principle for
the B\"acklund transformations of some vector evolution equation. | 1994-07-19 | 2009-10-28 | [
"solv-int",
"nlin.SI"
] | V.E. Adler |
solv-int/9407002 | Complete integrability of a modified vector derivative nonlinear
Schroedinger equation | Oblique propagation of magnetohydrodynamic waves in warm plasmas is described
by a modified vector derivative nonlinear Schroedinger equation, if charge
separation in Poisson's equation and the displacement current in Ampere's law
are properly taken into account. This modified equation cannot be reduced to
the standard... | 1994-07-14 | 2009-10-28 | [
"solv-int",
"nlin.SI"
] | Ralph Willox (1), Willy Hereman (2) and Frank Verheest (3) ((1) Dienst
Theoretische Natuurkunde, Vrije Universiteit Brussel, Pleinlaan 2, B--1050
Brussel, Belgium (2) Department of Mathematical and Computer Sciences,
Colorado School of Mines, Golden, Colorado 80401--1887, USA (3) Sterrenkundig
Observatorium, Un... |
solv-int/9407001 | Helicity Conservation via the Noether Theorem | The conservation of helicity in ideal barotropic fluids is discussed from a
group theoretical point of view. A new symmetry group is introduced i.e. the
alpha group of translations. It is proven via the Noether theorem that this
group generates helicity conservation. | 1994-07-01 | 2009-10-28 | [
"solv-int",
"nlin.SI"
] | Asher Yahalom |
solv-int/9406002 | Non-integrability of the mixmaster universe | We comment on an analysis by Contopoulos et al. which demonstrates that the
governing six-dimensional Einstein equations for the mixmaster space-time
metric pass the ARS or reduced Painlev\'{e} test. We note that this is the case
irrespective of the value, $I$, of the generating Hamiltonian which is a
constant of motio... | 1994-06-13 | 2009-10-28 | [
"solv-int",
"chao-dyn",
"gr-qc",
"nlin.CD",
"nlin.SI"
] | Freddy Christiansen (INO, Largo E. Fermi 6, Firenze, Italy), Hans
Henrik Rugh (IHES, 35 Route de Chartres, Bures-sur Yvette, France) and Svend
Erik Rugh (NBI, Blegdamsvej 17, Copenhagen, Denmark) |
solv-int/9406001 | Localized induction equation and pseudospherical surfaces | We describe a close connection between the localized induction equation
hierarchy of integrable evolution equations on space curves, and surfaces of
constant negative Gauss curvature. | 1994-06-11 | 2009-10-28 | [
"solv-int",
"hep-th",
"nlin.SI"
] | Ron Perline (Department of Mathematics and Computer Science, Drexel
University) |
solv-int/9404006 | Multilinear Operators: The Natural Extension Of Hirota's Bilinear
Formalism | We introduce multilinear operators, that generalize Hirota's bilinear $D$
operator, based on the principle of gauge invariance of the $\tau$ functions.
We show that these operators can be constructed systematically using the
bilinear $D$'s as building blocks. We concentrate in particular on the
trilinear case and study... | 1994-04-26 | 2009-10-28 | [
"solv-int",
"nlin.SI"
] | B. Grammaticos (LPN, Universite Paris VII, Tour 24-14, 5eme etage,
75251 Paris, France), A. Ramani and J. Hietarinta (CPT, Ecole Polytechnique,
91128 Palaiseau, France) |
solv-int/9404004 | Spatial Solitons in Media with Delayed-Response Optical Nonlinearities | Near-soliton scanning light-beam propagation in media with both
delayed-response Kerr-type and thermal nonlinearities is analyzed. The
delayed-response part of the Kerr nonlinearity is shown to be competitive as
compared to the thermal nonlinearity, and relevant contributions to a
distortion of the soliton form and pha... | 1994-04-20 | 2009-10-28 | [
"solv-int",
"nlin.PS",
"nlin.SI",
"patt-sol"
] | Evgeny V.Doktorov and Rafael A.Vlasov (Institute of Physics, 220072
Minsk, Belarus) |
solv-int/9404005 | Non-Linear Evolution Equations with Non-Analytic Dispersion Relations in
2+1 Dimensions. Bilocal Approach | A method is proposed of obtaining (2+1)-dimensional non- linear equations
with non-analytic dispersion relations. Bilocal formalism is shown to make it
possible to represent these equations in a form close to that for their
counterparts in 1+1 dimensions. | 1994-04-20 | 2009-10-28 | [
"solv-int",
"nlin.PS",
"nlin.SI",
"patt-sol"
] | Evgeny V.Doktorov (Institute of Physics, 220072 Minsk, Belarus) |
solv-int/9404001 | Localized induction equation, Heisenberg chain, and nonlinear
Schrodinger equation | The three equations named in the title are examples of infinite-dimensional
completely integrable Hamiltonian systems, and are related to each other via
simple geometric constructions. In this paper, these interrelationships are
further explained in terms of the recursion operator for the Localized
Induction Equation, ... | 1994-04-04 | 2008-02-03 | [
"solv-int",
"nlin.SI"
] | Joel Langer (Case Western Reserve University), Ron Perline (Drexel
University) |
solv-int/9403001 | The planar filament equation | The planar filament equation and its relation to the modified
Korteweg-deVries equation are studied in the context of Poisson geometry. The
structure of the planar filament equation is shown to be similar to that of the
3-D localized induction equation, previously studied by the authors. | 1994-03-25 | 2008-02-03 | [
"solv-int",
"nlin.SI"
] | Joel Langer (Case Western Reserve), Ron Perline (Drexel University) |
solv-int/9402004 | On UrKdV and UrKP | We present two extensions of Wilson's explanation of the Miura map from MKdV
to KdV. In the first we explain the map of Svinolupov et al from a certain
UrKdV-like equation to KdV, and in the second we explain Konopelchenko's map
from the modified KP equation to KP. In the course of the latter we introduce
an ``UrKP'' s... | 1994-03-01 | 2009-10-28 | [
"solv-int",
"hep-th",
"nlin.SI"
] | Didier A Depireux and Jeremy Schiff, U de Montreal and Bar Ilan |
solv-int/9402002 | Integrable systems and symmetric products of curves | We show how there is associated to each non-constant polynomial $F(x,y)$ a
completely integrable system with polynomial invariants on $\Rd$ and on
$\C{2d}$ for each $d\geq1$; in fact the invariants are not only in involution
for one Poisson bracket, but for a large class of polynomial Poisson brackets,
indexed by the f... | 1994-02-18 | 2008-02-03 | [
"solv-int",
"nlin.SI"
] | Pol Vanhaecke (Universite de Lille) |
solv-int/9402003 | Multi-Hamiltonian formulation for a class of degenerate completely
integrable systems | Generalizing a construction of P. Vanhaecke, we introduce a large class of
degenerate (i.e., associated to a degenerate Poisson bracket) completely
integrable systems on (a dense subset of) the space $\R^{2d+n+1}$, called the
generalized master systems. It turns out that certain generalized master
systems (with differe... | 1994-02-18 | 2008-02-03 | [
"solv-int",
"nlin.SI"
] | Peter Bueken (Katholieke Universiteit Leuven) |
solv-int/9402001 | Non Proliferation of Preimages in Integrable Mappings | We present an integrability criterion for rational mappings based on two
requirements. First, that a given point should have a unique preimage under the
mapping and, second, that the spontaneously appearing singularities be confined
to a few iteration steps. We present several examples of known integrable
mappings that... | 1994-02-10 | 2009-10-28 | [
"solv-int",
"nlin.SI"
] | B. Grammaticos (LPN, Universit\'e Paris VII, Tour 24-14, Paris,
France), A. Ramani (CPT, Ecole Polytechnique, CNRS, UPR 14, 91128 Palaiseau,
France), K.M. Tamizhmani (Departement of Mathematics, Pondicherry University,
605014 Pondicherry, India) |
solv-int/9401005 | A Novel Hierarchy of Integrable Lattices | In the framework of the reduction technique for Poisson-Nijenhuis structures,
we derive a new hierarchy of integrable lattice, whose continuum limit is the
AKNS hierarchy. In contrast with other differential-difference versions of the
AKNS system, our hierarchy is endowed with a canonical Poisson structure and,
moreove... | 1994-01-25 | 2009-10-28 | [
"solv-int",
"nlin.SI"
] | I.Merola (Phys.Dept.Universita'"La Sapienza", Roma, Italy), O.Ragnisco
(I.N.F.N., Roma, Italy), Tu Gui Zhang (Academia Sinica, People's Rep.China) |
solv-int/9401004 | Nonlinear integrable systems related to arbitrary space-time dependence
of the spectral transform | We propose a general algebraic analytic scheme for the spectral transform of
solutions of nonlinear evolution equations. This allows us to give the general
integrable evolution corresponding to an arbitrary time and space dependence of
the spectral transform (in general nonlinear and with non-analytic dispersion
relati... | 1994-01-14 | 2009-10-28 | [
"solv-int",
"nlin.PS",
"nlin.SI",
"patt-sol"
] | Jerome Leon |
solv-int/9401003 | On a Shallow Water Wave Equation | In this paper we study a shallow water equation derivable using the
Boussinesq approximation, which includes as two special cases, one equation
discussed by Ablowitz et. al. [Stud. Appl. Math., 53 (1974) 249--315] and one
by Hirota and Satsuma [J. Phys. Soc. Japan}, 40 (1976) 611--612]. A catalogue
of classical and non... | 1994-01-13 | 2009-10-28 | [
"solv-int",
"nlin.PS",
"nlin.SI",
"patt-sol"
] | Peter A. Clarkson and Elizabeth L. Mansfield (Department of
Mathematics, University of Exeter, Exeter,U.K.) |
solv-int/9401002 | Algorithms for the Nonclassical Method of Symmetry Reductions | In this article we present first an algorithm for calculating the determining
equations associated with so-called ``nonclassical method'' of symmetry
reductions (a la Bluman and Cole) for systems of partial differentail
equations. This algorithm requires significantly less computation time than
that standardly used, an... | 1994-01-12 | 2008-02-03 | [
"solv-int",
"nlin.SI"
] | Peter A. Clarkson and Elizabeth L. Mansfield (Department of
Mathematics, University of Exeter, Exeter, U.K.) |
solv-int/9401001 | Local Geometric Invariants of Integrable Evolution Equations | The integrable hierarchy of commuting vector fields for the localized
induction equation of 3D hydrodynamics, and its associated recursion operator,
are used to generate families of integrable evolution equations which preserve
local geometric invariants of the evolving curve or swept-out surface. | 1994-01-06 | 2009-10-28 | [
"solv-int",
"nlin.SI"
] | Joel Langer (Case Western Reserve University), Ron Perline (Drexel
University) |
supr-con/9412002 | Multiple Scattering Analysis of Cu-K EXAFS in Bi_2Sr_1.5Ca_1.5Cu_2O_8+d | We have analyzed the Cu K-EXAFS of Bi_2Sr_1.5Ca_1.5Cu_2O_8+d using a full
multiple scattering analysis in a cluster with diameter d = 7.6 AA. The
numerous quasi one-dimensional structural elements give rise to significant
multiple scattering contributions in the EXAFS. We confirm the Sr/Ca ratio of
the sample is 1:1, a... | 1994-12-31 | 2008-02-03 | [
"supr-con",
"cond-mat.supr-con"
] | J. R"ohler (U K"oln) and R. Cr"usemann (U Stuttgart) |
supr-con/9412001 | Onset of Vortices in Thin Superconducting Strips and Wires | Spontaneous nucleation and the consequent penetration of vortices into thin
superconducting films and wires, subjected to a magnetic field, can be
considered as a nonlinear stage of primary instability of the current-carrying
superconducting state. The development of the instability leads to the
formation of a chain of... | 1994-12-26 | 2009-10-28 | [
"supr-con",
"cond-mat.supr-con"
] | I. Aranson, M. Gitterman and B. Ya. Shapiro, (Dept. of Physics and
Jack and Pearl Resnick Inst. of Advanced Technology, Bar Ilan University) |
supr-con/9411003 | Density of states of a layered S/N d-wave superconductor | We calculate the density of states of a layered superconductor in which there
are two layers per unit cell. One of the layers contains a d-wave pairing
interaction while the other is a normal metal. The goal of this article is to
understand how the d-wave behaviour of the system is modified by the coupling
between the ... | 1994-11-08 | 2009-10-28 | [
"supr-con",
"cond-mat.supr-con"
] | W. A. Atkinson and J. P. Carbotte (McMaster University) |
supr-con/9411002 | Spin Dynamics of La_2CuO_4 and the Two-Dimensional Heisenberg Model | The spin-lattice relaxation rate $1/T_1$ and the spin echo decay rate
$1/T_{2G}$ for the 2D Heisenberg model are calculated using quantum Monte Carlo
and maximum entropy analytic continuation. The results are compared to recent
experiments on La$_2$CuO$_4$, as well as predictions based on the non-linear
$\sigma$-model. | 1994-11-08 | 2009-10-28 | [
"supr-con",
"cond-mat.supr-con"
] | A.W. Sandvik and D.J. Scalapino, UC Santa Barbara |
supr-con/9411001 | Spin pseudo-gap and interplane coupling in Y_2Ba_4Cu_7O_{15}: a ^{63}Cu
nuclear spin-spin relaxation study | We report measurements of the Gaussian contribution, T_{2G}, to the plane
^{63}Cu nuclear spin--spin relaxation time in the YBa_2Cu_3O_7 and YBa_2Cu_4O_8
blocks of normal and superconducting Y_2Ba_4Cu_7O_{15}. The data confirm our
previous results that adjacent CuO_2 planes have different doping levels and
that these p... | 1994-11-02 | 2008-02-03 | [
"supr-con",
"cond-mat.supr-con"
] | R. Stern, M. Mali, J. Roos and D. Brinkmann (Physik-Institut,
University Zurich, CH-8057 Zurich, Switzerland) |
acc-phys/9512001 | Particle Motion in the Stable Region Near an Edge of a Linear
Half-Integer Stopband | This paper studies the motion of a particle whose tune is inside and near a
linear half-integer stopband. Results are found for the tune and beta functions
in the stable region close to an edge of the stopband. It is shown that the
eigenvalues and the eigenfunctions of the transfer matrix are real inside the
stopband. ... | 1995-12-07 | 2008-02-03 | [
"acc-phys",
"physics.acc-ph"
] | G. Parzen (Brookhaven National Laboratory) |
acc-phys/9510006 | Linear Parameters and the Decoupling Matrix for Linearly Coupled Motion
in 6 Dimensional Phase Space | It will be shown that starting from a coordinate system where the 6 phase
space coordinates are linearly coupled, one can go to a new coordinate system
where the motion is uncoupled by means of a linear transformation. The original
coupled coordinates and the new uncoupled coordinates are related by a 6x6
matrix, R. R ... | 1995-10-31 | 2008-02-03 | [
"acc-phys",
"physics.acc-ph"
] | G. Parzen (Brookhaven National Laboratory) |
acc-phys/9510005 | Construction of Nonlinear Symplectic Six-Dimensional Thin-Lens Maps by
Exponentiation | The aim of this paper is to construct six-dimensional symplectic thin-lens
transport maps for the tracking program SIXTRACK, continuing an earlier report
by using another method which consistes in applying Lie series and
exponentiation as described by W. Groebner and for canonical systems by A.J.
Dragt. We firstly use ... | 1995-10-30 | 2008-02-03 | [
"acc-phys",
"physics.acc-ph"
] | K. Heinemann, G. Ripken, F. Schmidt |
acc-phys/9510004 | Radiation Damping and Quantum Excitation for Longitudinal Charged
Particle Dynamics in the Thermal Wave Model | On the basis of the recently proposed {\it Thermal Wave Model (TWM) for
particle beams}, we give a description of the longitudinal charge particle
dynamics in circular accelerating machines by taking into account both
radiation damping and quantum excitation (stochastic effect), in presence of a
RF potential well. The ... | 1995-10-27 | 2015-06-24 | [
"acc-phys",
"physics.acc-ph"
] | R. Fedele, G. Miele, and L. Palumbo |
acc-phys/9510003 | Full Phase-Space Analysis of Particle Beam Transport in the Thermal Wave
Model | Within the Thermal Wave Model framework a comparison among Wigner function,
Husimi function, and the phase-space distribution given by a particle tracking
code is made for a particle beam travelling through a linear lens with small
aberrations. The results show that the quantum-like approach seems to be very
promising. | 1995-10-27 | 2011-07-19 | [
"acc-phys",
"physics.acc-ph"
] | R. Fedele, F. Galluccio, V.I. Man'ko and G. Miele |
acc-phys/9510002 | Polarizabilities of an Annular Cut in the Wall of an Arbitrary Thickness | The electric and magnetic polarizabilities of an aperture are its important
characteristics in the theory of aperture coupling and diffraction of EM waves.
The beam coupling impedances due to a small discontinuity on the chamber wall
of an accelerator can also be expressed in terms of the polarizabilities of the
discon... | 1995-10-17 | 2010-11-15 | [
"acc-phys",
"physics.acc-ph"
] | Sergey S. Kurennoy (University of Maryland) |
acc-phys/9510001 | Ultrashort Laser-pulse Diagnostics for Detection of Ordering within an
Ion beam | A novel diagnostic method to detect ordering within one-dimensional ion beams
in a storage ring is presented. The ions are simultaneously excited by a
ultrashort pulsed laser ($\simeq 1$ ps) at two different locations along the
beam and fluorescence is detected by a group of four photo-multipliers.
Correlation in fluor... | 1995-10-03 | 2019-08-17 | [
"acc-phys",
"physics.acc-ph"
] | R. Calabrese, V. Guidi, P.Lenisa, E. Mariotti, L. Moi and U.Tambini |
acc-phys/9508001 | Linear Orbit Parameters for the Exact Equations of Motion | This paper defines the beta function and other linear orbit parameters using
the exact equations of motion. The orbit functions are redefined using the
exact equations. Expressions are found for the transfer matrix and the
emittances. Differential equations are found for the beta function and the eta
function. New rela... | 1995-08-31 | 2008-02-03 | [
"acc-phys",
"physics.acc-ph"
] | G. Parzen (Brookhaven National Laboratory) |
acc-phys/9507001 | Coaxial Ring Cyclotron as a Perspective Nuclear Power Engineering
Machine | The circuit arrangement of the proposed coaxial ring cyclotron (CRC) is
described, and its main advantages, such as simple injection technique, several
injected beams summation option, high efficiency, are considered. The proposed
proton accelerator is a perspective machine for the solution of the main
problems of the ... | 1995-07-27 | 2009-09-25 | [
"acc-phys",
"physics.acc-ph"
] | A.R.Tumanyan, Kh.A.Simonyan, R.L.Mkrtchyan, A.Ts.Amatuni, R.O.Avakyan,
A.G.Khudaverdyan |
acc-phys/9506001 | Normal Mode Tunes for Linear Coupled Motion in Six Dimensional Phase
Space | The motion of a particle in 6-dimensional phase space in the presence of
linear coupling can be written as the sum of 3 normal modes. A cubic equation
is found for the tune of the normal modes, which allows the normal mode tunes
to be computed from the 6x6 one turn transfer matrix. This result is similar to
the quadrat... | 1995-06-07 | 2008-02-03 | [
"acc-phys",
"physics.acc-ph"
] | G. Parzen (Brookhaven National Laboratory) |
acc-phys/9505002 | Stroboscopic Laser Diagnostics for Detection of Ordering in
One-Dimensional Ion beam | A novel diagnostic method for detecting ordering in one-dimensional ion beams
is presented. The ions are excited by a pulsed laser at two different positions
along the beam and fluorescence is observed by a group of four
photomultipliers. Correlation in fluorescence signals is firm indication that
the ion beam has an o... | 1995-05-24 | 2019-08-17 | [
"acc-phys",
"hep-ex",
"physics.acc-ph"
] | R. Calabrese, V. Guidi, P.Lenisa, E. Mariotti, L. Moi and U.Tambini |
acc-phys/9505001 | RFQ-DRL MATCHING SOLUTIONS FOR DIFFERENT REQUIREMENTS | The Radio-Frequency Quadrupole (RFQ) has a FODO lattice and Drift-Tube-Linacs
(DTL) in general also have FODO lattices. Therefore the natural solution for
the matching between these is a FODO lattice. For matching in all three planes
one then needs sixteen degrees of freedom. However, different requirements,
depending ... | 1995-05-08 | 2008-11-26 | [
"acc-phys",
"physics.acc-ph"
] | D. Raparia |
acc-phys/9504003 | Polarizabilities of an Annular Cut and Coupling Impedances of
Button-Type Beam Position Monitors | The longitudinal and transverse coupling impedances of a small discontinuity
on the accelerator chamber wall can be expressed in terms of the electric and
magnetic polarizabilities of the discontinuity. The polarizabilities are
geometrical factors and can be found by solving a static (electric or magnetic)
problem. How... | 1995-04-27 | 2008-11-26 | [
"acc-phys",
"physics.acc-ph"
] | Sergey S. Kurennoy (University of Maryland) |
acc-phys/9504001 | A General Approach for Calculating Coupling Impedances of Small
Discontinuities | A general theory of the beam interaction with small discontinuities of the
vacuum chamber is developed taking into account the reaction of radiated waves
back on the discontinuity. The reactive impedance calculated earlier is
reproduced as the first order, and the resistive one as the second order of a
perturbation the... | 1995-04-27 | 2016-11-17 | [
"acc-phys",
"physics.acc-ph"
] | Sergey S. Kurennoy, Robert L. Gluckstern (Univ. of Maryland), and
Gennady V. Stupakov (SLAC) |
acc-phys/9504002 | Trapped Modes in the Vacuum Chamber of an Arbitrary Cross Section | It has been shown that a small discontinuity such as an enlargement or a hole
on circular waveguides can produce trapped electromagnetic modes with
frequencies slightly below the waveguide cutoff. The trapped modes due to
multiple discontinuities can lead to high narrow-band contributions to the
beam-chamber coupling i... | 1995-04-27 | 2009-09-25 | [
"acc-phys",
"physics.acc-ph"
] | Sergey S. Kurennoy (University of Maryland), and Gennady V. Stupakov
(SLAC) |
acc-phys/9503004 | MONTE CARLO SIMULATIONS OF MUON PRODUCTION | Muon production requirements for a muon collider are presented. Production of
muons from pion decay is studied. Lithium lenses and solenoids are considered
for focussing pions from a target, and for matching the pions into a decay
channel. Pion decay channels of alternating quadrupoles and long solenoids are
compared. ... | 1995-03-31 | 2014-10-09 | [
"acc-phys",
"physics.acc-ph"
] | R.B.Palmer, J.C.Gallardo, R.C.Fernow, Y.Torun (BNL), D.Neuffer
(CEBAF), D.Winn (Fairfield Univ.) |
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