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 |
|---|---|---|---|---|---|---|
cond-mat/9301022 | Hidden Errors in Simulations and the Quality of Pseudorandom Numbers | We have carried out extensive statistical, bit level and visual tests of
several random number generators used in the applications of physics. Two of
the generators tested were recently included in a paper by Ferrenberg {\it et
al.} (Phys. Rev. Lett. {\bf 68}, 3382 (1992)) who reported correlations in
their Monte Carlo... | 1993-01-18 | 2007-05-23 | [
"cond-mat",
"hep-lat"
] | I. Vattulainen, K. Kankaala, J. Saarinen and T. Ala-Nissila |
cond-mat/9301019 | Quantum Dots in Strong Magnetic Fields: Stability Criteria for the
Maximum Density Droplet | In this article we discuss the ground state of a parabolically confined
quantum dots in the limit of very strong magnetic fields where the electron
system is completely spin-polarized and all electrons are in the lowest Landau
level. Without electron-electron interactions the ground state is a single
Slater determinant... | 1993-01-15 | 2015-06-25 | [
"cond-mat"
] | A.H. MacDonald, S.-R.Eric Yang, and M.D. Johnson |
cond-mat/9301021 | Asymptotic analysis and spectrum of three anyons | The spectrum of anyons confined in harmonic oscillator potential shows both
linear and nonlinear dependence on the statistical parameter. While the
existence of exact linear solutions have been shown analytically, the nonlinear
dependence has been arrived at by numerical and/or perturbative methods. We
develop a method... | 1993-01-15 | 2008-11-26 | [
"cond-mat"
] | G.Date, M.Krishna and M.V.N.Murthy |
cond-mat/9301020 | Classical Dynamics of Anyons and the Quantum Spectrum | In this paper we show that (a) all the known exact solutions of the problem
of N-anyons in oscillator potential precisely arise from the collective degrees
of freedom, (b) the system is pseudo-integrable ala Richens and Berry. We
conclude that the exact solutions are trivial thermodynamically as well as
dynamically. | 1993-01-15 | 2009-10-22 | [
"cond-mat"
] | G. Date and M.V.N. Murthy |
cond-mat/9301016 | The Global Minimum of Energy Is Not Always a Sum of Local Minima - a
Note on Frustration | A classical lattice gas model with translation-invariant finite range
competing interactions, for which there does not exist an equivalent
translation-invariant finite range nonfrustrated potential, is constructed. The
construction uses the structure of nonperiodic ground state configurations of
the model. In fact, the... | 1993-01-14 | 2007-05-23 | [
"cond-mat"
] | Jacek Miekisz |
cond-mat/9301018 | Quantum Mechanics on Thin Cylinders | We discuss the quantum mechanics of particles of arbitrary statistics on an
infinite cylinder with and without a magnetic field perpendicular to the
surface. In the presence of a magnetic field, the translational symmetry along
the cylinder is broken down to a discrete one by the Aharonov-Bohm effect. For
interacting f... | 1993-01-14 | 2009-10-22 | [
"cond-mat"
] | Erik Westerberg and T. H. Hansson |
cond-mat/9301015 | Hierarchical wave function, Fock cyclic condition and spin-statistics
relation in the spin-singlet fractional quantum Hall effect | We construct the hierarchical wave function of the spin-singlet fractional
quantum Hall effect, which turns out to satisfy Fock cyclic condition. The
spin-statistics relation of the quasi-particles in the spin-singlet fractional
quantum Hall effect is also discussed. Then we use particle-hole conjugation to
check the w... | 1993-01-13 | 2009-10-22 | [
"cond-mat",
"hep-th"
] | Dingping Li |
cond-mat/9301014 | Power law tail in the radial growth probability distribution for DLA | Using both analytic and numerical methods, we study the radial growth
probability distribution $P(r,M)$ for large scale off lattice diffusion limited
aggregation (DLA) clusters. If the form of $P(r,M)$ is a Gaussian, we show
analytically that the width $\xi(M)$ of the distribution {\it can not} scale as
the radius of g... | 1993-01-13 | 2009-10-22 | [
"cond-mat"
] | Peter Ossadnik and Jysoo Lee |
cond-mat/9301011 | Random Matrix Theory of Transition Strengths and Universal
Magnetoconductance in the Strongly Localized Regime | Random matrix theory of the transition strengths is applied to transport in
the strongly localized regime. The crossover distribution function between the
different ensembles is derived and used to predict quantitatively the {\sl
universal} magnetoconductance curves in the absence and in the presence of
spin-orbit scat... | 1993-01-11 | 2009-10-22 | [
"cond-mat"
] | Y. Meir and O. Entin-Wohlman |
cond-mat/9301012 | Surface Effects on Bulk Plasmons | We discuss the effects of surfaces on bulk plasma oscillations in a metallic
film of thickness $L$. The leading corrections to the plasma frequencies due to
the surfaces are proportional to $L^{-1}$. dispersion relation of bulk modes,
$\omega=\omega_p[1+\alpha(q^2/k_F^2)] $, where the allowed $q$-values are
$q^{(n)}=(n... | 1993-01-11 | 2009-10-22 | [
"cond-mat"
] | Olle Heinonen and Walter Kohn |
cond-mat/9301013 | Dynamical decoupling and Kac-Moody current representation in
multicomponent integrable systems | The conformal invariant character of $\nu$-multicomponent integrable systems
(with $\nu$ branches of gapless excitations) is described from the point of
view of the response to curvature of the two-dimensional space. The
$\nu\times\nu$ elements of the dressed charge matrix are shown to be transition
matrix elements of ... | 1993-01-11 | 2009-10-22 | [
"cond-mat"
] | J.M.P. Carmelo and A.H. Castro Neto |
cond-mat/9301010 | Underscreened Kondo Necklace | It has been suggested recently by Gan, Coleman, and Andrei that studying the
underscreened Kondo problem may help to understand the nature of magnetism in
heavy fermion systems. Motivated by Doniach's work on the S=1/2 Kondo necklace,
we introduce the underscreened Kondo necklace models with S>1/2. The
underscreened Ko... | 1993-01-11 | 2015-06-25 | [
"cond-mat"
] | P. Fazekas and Hae-Young Kee (International Centre for Theoretical
Physics, Trieste, Italy) |
cond-mat/9301007 | Wigner Crystal in One Dimension | A one--dimensional gas of electrons interacting with long--range Coulomb
forces ($V(r) \approx 1/r$) is investigated. The excitation spectrum consists
of separate collective charge and spin modes, with the charge excitation
energies in agreement with RPA calculations. For arbitrarily weak Coulomb
repulsion density corr... | 1993-01-08 | 2008-11-26 | [
"cond-mat"
] | H.J. Schulz |
cond-mat/9301008 | Models for local ohmic quantum dissipation | We construct model master equations for local quantum dissipation. The master
equations are in the form of Lindblad generators, with imposed constraints that
the dissipations be strictly linear (i.e. ohmic), isotropic and translationally
invariant. A particular form for is chosen to satisfy the constraints. The
resulti... | 1993-01-08 | 2009-10-22 | [
"cond-mat",
"gr-qc"
] | M. R. Gallis |
cond-mat/9301009 | The Thermodynamics of Quantum Systems and Generalizations of
Zamolodchikov's C-theorem | In this paper we examine the behavior in temperature of the free energy on
quantum systems in an arbitrary number of dimensions. We define from the free
energy a function $C$ of the coupling constants and the temperature, which in
the regimes where quantum fluctuations dominate, is a monotonically increasing
function o... | 1993-01-08 | 2009-10-22 | [
"cond-mat"
] | A.H.Castro Neto and Eduardo Fradkin |
cond-mat/9301005 | Poisson versus GOE statistics in integrable and non-integrable quantum
hamiltonian | We calculate the level statistics by finding the eigenvalue spectrum for a
variety of one-dimensional many-body models, namely the Heisenberg chain, the
t-J model and the Hubbard model. In each case the generic behaviour is GOE,
however at points corresponding to models known to be exactly integrable
Poisson statistics... | 1993-01-07 | 2009-10-22 | [
"cond-mat"
] | Didier Poilblanc, Timothy Ziman, Jean Bellissard, Frederic Mila and
Gilles Montambaux |
cond-mat/9301006 | Electronic Structure of Superconducting Ba6c60 | We report the results of first-principles electronic-structure calculations
for superconducting Ba6C60. Unlike the A3C60 superconductors, this new compound
shows strong Ba-C hybridization in the valence and conduction regions, mixed
covalent/ionic bonding character, partial charge transfer, and insulating
zero-gap band... | 1993-01-07 | 2009-10-22 | [
"cond-mat"
] | Steven C. Erwin and Mark R. Pederson |
cond-mat/9301004 | Heap Formation in Granular Media | Using molecular dynamics (MD) simulations, we find the formation of heaps in
a system of granular particles contained in a box with oscillating bottom and
fixed sidewalls. The simulation includes the effect of static friction, which
is found to be crucial in maintaining a stable heap. We also find another
mechanism for... | 1993-01-06 | 2009-10-22 | [
"cond-mat"
] | Jysoo Lee |
cond-mat/9301003 | Spin-Orbit Scattering and Pair Breaking in a Structurally Disordered
Copper-Oxide Layer | To leading order in displacement size, the scattering of electrons in a Cu-O
plane from O displacements perpendicular to that plane is due to spin-orbit
coupling. This scattering is investigated with the following results: (1) As a
consequence of time-reversal symmetry, spin fluctuations, which can strongly
enhance sca... | 1993-01-06 | 2020-02-03 | [
"cond-mat"
] | N. E. Bonesteel |
cond-mat/9301002 | Quons, an interpolation between bose and fermi oscillators | After a brief mention of Bose and Fermi oscillators and of particles which
obey other types of statistics, including intermediate statistics,
parastatistics, paronic statistics, anyon statistics and infinite statistics, I
discuss the statistics of ``quons'' (pronounced to rhyme with muons), particles
whose annihilation... | 1993-01-05 | 2007-05-23 | [
"cond-mat",
"hep-ph"
] | O.W. Greenberg |
cond-mat/9301001 | Effect of Loops on the Vibrational Spectrum of Percolation Network | We study the effects of adding loops to a critical percolation cluster on the
diffusional, and equivalently, (scalar) elastic properties of the fractal
network. From the numerical calculations of the eigenspectrum of the transition
probability matrix, we find that the spectral dimension $d_s$ and the walk
dimension $d_... | 1993-01-01 | 2009-10-22 | [
"cond-mat"
] | Hisao Nakanishi |
cond-mat/9310054 | Mean Field Theory of Sandpile Avalanches: from the Intermittent to the
Continuous Flow Regime | We model the dynamics of avalanches in granular assemblies in partly filled
rotating cylinders using a mean-field approach. We show that, upon varying the
cylinder angular velocity $\omega$, the system undergoes a hysteresis cycle
between an intermittent and a continuous flow regimes. In the intermittent flow
regime, a... | 1993-10-23 | 2009-10-22 | [
"cond-mat.dis-nn",
"adap-org",
"nlin.AO"
] | V. G. Benza, Franco Nori and Oscar Pla |
cond-mat/9308018 | Superconductivity and Localization | We present a review of theoretical and experimental works on the problem of
mutual interplay of Anderson localization and superconductivity in strongly
disordered systems. We start with brief discussion of modern aspects of
localization theory including the basic concept of scaling, self-consistent
theory and interacti... | 1993-08-12 | 2008-02-03 | [
"cond-mat.dis-nn",
"cond-mat.supr-con"
] | M.V.Sadovskii |
cond-mat/9312037 | Analytical solution for the Fermi-sea energy of two-dimensional
electrons in a magnetic field: lattice path-integral approach and quantum
interference | We derive an exact solution for the total kinetic energy of noninteracting
spinless electrons at half-filling in two-dimensional bipartite lattices. We
employ a conceptually novel approach that maps this problem exactly into a
Feynman-Vdovichenko lattice walker. The problem is then reduced to the analytic
study of the ... | 1993-12-08 | 2009-10-22 | [
"cond-mat.mes-hall",
"cond-mat.supr-con"
] | Franco Nori and Yeong-Lieh Lin |
cond-mat/9312040 | Electronic Structure of Single- and Multiple-shell Carbon Fullerenes | We study the electronic states of giant single-shell and the recently
discovered nested multi-shell carbon fullerenes within the tight-binding
approximation. We use two different approaches, one based on iterations and the
other on symmetry, to obtain the $\pi$-state energy spectra of large fullerene
cages: $C_{240}$, ... | 1993-12-09 | 2009-10-22 | [
"cond-mat.mtrl-sci"
] | Yeong-Lieh Lin and Franco Nori |
cond-mat/9312041 | Recursion and Path-Integral Approaches to the Analytic Study of the
Electronic Properties of $C_{60}$ | The recursion and path-integral methods are applied to analytically study the
electronic structure of a neutral $C_{60}$ molecule. We employ a tight-binding
Hamiltonian which considers both the $s$ and $p$ valence electrons of carbon.
From the recursion method, we obtain closed-form {\it analytic} expressions for
the $... | 1993-12-09 | 2009-10-22 | [
"cond-mat.mtrl-sci"
] | Yeong-Lieh Lin and Franco Nori |
cond-mat/9312080 | Surface Magnetization and Critical Behavior of Aperiodic Ising Quantum
Chains | We consider semi-infinite two-dimensional layered Ising models in the extreme
anisotropic limit with an aperiodic modulation of the couplings. Using
substitution rules to generate the aperiodic sequences, we derive functional
equations for the surface magnetization. These equations are solved by
iteration and the surfa... | 1993-12-20 | 2009-10-22 | [
"cond-mat.stat-mech",
"hep-th"
] | L. Turban (1), F. Igloi (2 and 3), B. Berche (1) ((1) Henri Poincare
University, Nancy, (2) Research Institute for Solid State Physics, Budapest,
(3) University of Szeged) |
cond-mat/9312077 | Inhomogeneous Systems with Unusual Critical Behaviour | The phase transitions and critical properties of two types of inhomogeneous
systems are reviewed. In one case, the local critical behaviour results from
the particular shape of the system. Here scale-invariant forms like wedges or
cones are considered as well as general parabolic shapes. In the other case the
system co... | 1993-12-20 | 2009-10-22 | [
"cond-mat.stat-mech",
"hep-th"
] | F.Igl\'oi (1 and 2), I. Peschel (3) and L.Turban (4) ((1) Research
Institute for Solid State Physics, Budapest, (2) University of Szeged, (3) FU
Berlin, (4) Henri Poincare University, Nancy) |
cond-mat/9306013 | Surface Magnetization of Aperiodic Ising Quantum Chains | We study the surface magnetization of aperiodic Ising quantum chains. Using
fermion techniques, exact results are obtained in the critical region for
quasiperiodic sequences generated through an irrational number as well as for
the automatic binary Thue-Morse sequence and its generalizations modulo p. The
surface magne... | 1993-06-04 | 2009-10-22 | [
"cond-mat.stat-mech",
"hep-th"
] | L. Turban, B. Berche (Henri Poincare University, Nancy) |
cond-mat/9301017 | Stable quasicrystalline ground states | We give a strong evidence that noncrystalline materials such as quasicrystals
or incommensurate solids are not exceptions but rather are generic in some
regions of a phase space. We show this by constructing classical lattice-gas
models with translation-invariant, finite-range interactions and with a unique
quasiperiod... | 1993-01-14 | 2015-06-25 | [
"cond-mat.stat-mech"
] | Jacek Miekisz |
cond-mat/9312031 | The Mott-Hubbard Transition on the D=infinity Bethe Lattice | In view of a recent controversy we investigated the Mott-Hubbard transition
in D=infinity with a novel cluster approach. i) We show that any truncated
Bethe lattice of order n can be mapped exactly to a finite Hubbard-like
cluster. ii) We evaluate the self-energy numerically for n=0,1,2 and compare
with a series of sel... | 1993-12-07 | 2009-10-22 | [
"cond-mat.str-el"
] | Claudius Gros, Wolfgang Wenzel, Roser Valenti, Georg Huelsenbeck,
Joachim Stolze |
cond-mat/9307029 | Confirmation of the Modified Bean Model from Simulations of
Superconducting Vortices | From a very simple description of vortices and pinning centers and without
using any electrodynamical assumptions, we obtain nonlinear density profiles of
vortices in type-II dirty superconductors that result from raising or lowering
an external magnetic field. The results confirm a modified Bean model
description of t... | 1993-07-14 | 2009-10-22 | [
"cond-mat.supr-con",
"adap-org",
"cond-mat.mtrl-sci",
"nlin.AO"
] | R. A. Richardson, O. Pla and Franco Nori |
cs/9312101 | Decidable Reasoning in Terminological Knowledge Representation Systems | Terminological knowledge representation systems (TKRSs) are tools for
designing and using knowledge bases that make use of terminological languages
(or concept languages). We analyze from a theoretical point of view a TKRS
whose capabilities go beyond the ones of presently available TKRSs. The new
features studied, oft... | 1993-12-01 | 2014-11-17 | [
"cs.AI"
] | M. Buchheit, F. M. Donini, A. Schaerf |
cs/9311102 | Software Agents: Completing Patterns and Constructing User Interfaces | To support the goal of allowing users to record and retrieve information,
this paper describes an interactive note-taking system for pen-based computers
with two distinctive features. First, it actively predicts what the user is
going to write. Second, it automatically constructs a custom, button-box user
interface on ... | 1993-11-01 | 2009-09-25 | [
"cs.AI"
] | J. C. Schlimmer, L. A. Hermens |
cs/9311101 | The Difficulties of Learning Logic Programs with Cut | As real logic programmers normally use cut (!), an effective learning
procedure for logic programs should be able to deal with it. Because the cut
predicate has only a procedural meaning, clauses containing cut cannot be
learned using an extensional evaluation method, as is done in most learning
systems. On the other h... | 1993-11-01 | 2008-02-03 | [
"cs.AI"
] | F. Bergadano, D. Gunetti, U. Trinchero |
cs/9309101 | An Empirical Analysis of Search in GSAT | We describe an extensive study of search in GSAT, an approximation procedure
for propositional satisfiability. GSAT performs greedy hill-climbing on the
number of satisfied clauses in a truth assignment. Our experiments provide a
more complete picture of GSAT's search than previous accounts. We describe in
detail the t... | 1993-09-01 | 2008-02-03 | [
"cs.AI"
] | I. P. Gent, T. Walsh |
cs/9308102 | A Market-Oriented Programming Environment and its Application to
Distributed Multicommodity Flow Problems | Market price systems constitute a well-understood class of mechanisms that
under certain conditions provide effective decentralization of decision making
with minimal communication overhead. In a market-oriented programming approach
to distributed problem solving, we derive the activities and resource
allocations for a... | 1993-08-01 | 2008-02-03 | [
"cs.AI"
] | M. P. Wellman |
cs/9308101 | Dynamic Backtracking | Because of their occasional need to return to shallow points in a search
tree, existing backtracking methods can sometimes erase meaningful progress
toward solving a search problem. In this paper, we present a method by which
backtrack points can be moved deeper in the search space, thereby avoiding this
difficulty. Th... | 1993-08-01 | 2008-02-03 | [
"cs.AI"
] | M. L. Ginsberg |
funct-an/9312005 | The Penalty Method for Variational Inequalities with Nonsmooth Unbounded
Operators in Banach Space | The existence of a solution, convergence and stability of the penalty method
for variational inequalities with nonsmooth unbounded uniformly and properly
monotone operators in Banach spase $B$ are investigated. All the objects of the
inequality - the operator A, "the right-hand part" $f$ and the set of
constrains $\Ome... | 1993-12-29 | 2008-02-03 | [
"funct-an",
"math.FA"
] | Ya. I. Alber |
funct-an/9312004 | Positive representations of general commutation relations allowing Wick
ordering | We consider the problem of representing in Hilbert space commutation
relations of the form $$ a_ia_j^*=\delta_{ij}{\bold1} +
\sum_{k\ell}T_{ij}^{k\ell} a_\ell^*a_k \quad,$$ where the $T_{ij}^{k\ell}$ are
essentially arbitrary scalar coefficients. Examples comprise the $q$-canonical
commutation relations introduced by G... | 1993-12-21 | 2008-02-03 | [
"funct-an",
"math.OA"
] | P.E.T. Jorgensen, L.M. Schmitt, and R.F. Werner |
funct-an/9312003 | Global Version of Bjornestal's Estimate for Metric Projection Operator
in Banach Space | In 1979, B.Bjornestal obtained local estimate for a modulus of uniform
continuity of metric projection operator on closed subspace in uniformly convex
and uniformly smooth Banach space $B$. In the present paper we give the global
version of this result for the projection operator on an arbitrary closed
convex set in $B... | 1993-12-07 | 2008-02-03 | [
"funct-an",
"math.FA"
] | Ya. Alber |
funct-an/9312002 | Direct integrals and Hilbert W*-Modules | Investigating the direct integral decomposition of von Neumann algebras of
bounded module operators on self-dual Hilbert W*-moduli an equivalence
principle is obtained which connects the theory of direct disintegration of von
Neumann algebras on separable Hilbert spaces and the theory of von Neumann
representations on ... | 1993-12-06 | 2008-02-03 | [
"funct-an",
"math.OA"
] | Michael Frank |
funct-an/9312001 | Boundedness and Stability of Impulsively Perturbed Systems in a Banach
Space | Consider a linear impulsive equation in a Banach space
$$\dot{x}(t)+A(t)x(t) = f(t), ~t \geq 0,$$
$$x(\tau_i +0)= B_i x(\tau_i -0) + \alpha_i,$$
with $\lim_{i \rightarrow \infty} \tau_i = \infty $. Suppose each solution of
the corresponding semi-homogeneous equation
$$\dot{x}(t)+A(t)x(t) = 0,$$
(2) is bounded... | 1993-12-06 | 2016-08-31 | [
"funct-an",
"math.DS",
"math.FA"
] | L. Berezansky and E. Braverman |
funct-an/9311004 | Exponential Stability of Linear Delay Impulsive Differential Equations | For ordinary differential equations and functional differential equations the
following result is well known. Suppose any solution is bounded on the
half-line for each bounded on the half-line right-hand side. Then under certain
conditions the equations is exponentially stable.
We prove the same result for a delay di... | 1993-11-26 | 2008-02-03 | [
"funct-an",
"math.DS",
"math.FA"
] | A. Anokhin, L. Berezansky and E. Braverman |
funct-an/9311003 | On Some Estimates for Projection Operator in Banach Space | Previously unknown estimates of uniform continuity of projection operators in
Banach space have been obtained. They can be used in the investigations of
approximation methods, in particular, the method of quasisolutions, methods of
regularization and penalty functions, for solving nonlinear problems on exact
and peturb... | 1993-11-25 | 2008-02-03 | [
"funct-an",
"math.FA"
] | Ya. I. Alber and A. I. Notik |
funct-an/9311002 | Generalized Projection Operators in Banach Spaces: Properties and
Applications | This paper is an account (without proofs) of the results of our work "Metric
and Generalized Projection Operators in Banach Spaces: Properties and
Applications", funct-an/9311001. The Section 9 establishing a connection
between variational inequalities and Wienner-Hopf equations in Banach spaces by
means of metric and ... | 1993-11-25 | 2008-02-03 | [
"funct-an",
"math.FA"
] | Ya. I. Alber |
funct-an/9311001 | Metric and Generalized Projection Operators in Banach Spaces: Properties
and Applications | Metric projection operators can be defined in similar wayin Hilbert and
Banach spaces. At the same time, they differ signifitiantly in their
properties. Metric projection operator in Hilbert space is a monotone and
nonexpansive operator. It provides an absolutely best approximation for
arbitrary elements from Hilbert s... | 1993-11-24 | 2016-08-31 | [
"funct-an",
"math.FA"
] | Ya. I. Alber |
funct-an/9308001 | Singular Traces and Compact Operators. I | We give a necessary and sufficient condition on a positive compact operator
$T$ for the existence of a singular trace (i.e. a trace vanishing on the finite
rank operators) which takes a finite non-zero value on $T$. This generalizes
previous results by Dixmier and Varga. We also give an explicit description of
these tr... | 1993-08-09 | 2008-02-03 | [
"funct-an",
"math.OA"
] | S. Albeverio, D. Guido, A. Ponosov, S. Scarlatti |
funct-an/9308002 | Non Symmetric Dirichlet Forms on Semifinite von Neumann Algebras | The theory of non symmetric Dirichlet forms is generalized to the non abelian
setting, also establishing the natural correspondences among Dirichlet forms,
sub-Markovian semigroups and sub-Markovian resolvents within this context.
Examples of non symmetric Dirichlet forms given by derivations on Hilbert
algebras are st... | 1993-08-09 | 2008-02-03 | [
"funct-an",
"math.OA"
] | D. Guido, T. Isola, S. Scarlatti |
funct-an/9307001 | Classification of linear differential operators with an invariant
subspace of monomials | A complete classification of linear differential operators possessing
finite-dimensional invariant subspace with a basis of monomials is presented. | 1993-07-21 | 2008-02-03 | [
"funct-an",
"hep-th",
"math.FA"
] | Gerhard Post and Alexander Turbiner |
funct-an/9306003 | The role of C*-algebras in infinite dimensional numerical linear algebra | This is a survey of four recent papers which deal with the relationship of
simple C*-algebras to the problem of computing the spectra of self-adjoint
operators in the general case, especially when the spectrum is not discrete. It
is an expanded version of a talk presented at the 50 year C*-algebra
celebration, held at ... | 1993-06-08 | 2008-02-03 | [
"funct-an",
"math.OA"
] | William Arveson |
funct-an/9306002 | Commuting difference operators with polynomial eigenfunctions | We present explicit generators of an algebra of commuting difference
operators with trigonometric coefficients. The operators are simultaneously
diagonalized by recently discovered q-polynomials (viz. Koornwinder's
multivariable generalization of the Askey-Wilson polynomials). From the
viewpoint of physics the algebra ... | 1993-06-07 | 2008-02-03 | [
"funct-an",
"hep-th",
"math.OA",
"nlin.SI",
"solv-int"
] | J. F. van Diejen |
funct-an/9306001 | A calculation with a bi-orthogonal wavelet transformation | We explore the use of bi-orthogonal basis for continuous wavelet
transformations, thus relaxing the so-called admissibility condition on the
analyzing wavelet. As an application, we determine the eigenvalues and
corresponding radial eigenfunctions of the Hamiltonian of relativistic
Hydrogen-like atoms. | 1993-06-03 | 2009-10-22 | [
"funct-an",
"math.FA"
] | H.Falomir, M.A.Muschietti, E.M.Santangelo and J.Solomin |
funct-an/9305004 | On some operator identities and representations of algebras | Certain infinite families of operator identities related to powers of
positive root generators of (super) Lie algebras of first-order differential
operators and $q$-deformed algebras of first-order finite-difference operators
are presented. | 1993-05-26 | 2008-02-03 | [
"funct-an",
"hep-th",
"math.OA"
] | Alexander Turbiner and Gerhard Post |
funct-an/9305003 | q-Supersymmetric Generalization of von Neumann's Theorem | Assuming that there exist operators which form an irreducible representation
of the q-superoscillator algebra, it is proved that any two such
representations are equivalent, related by a uniquely determined superunitary
transformation. This provides with a q-supersymmetric generalization of the
well-known uniqueness th... | 1993-05-21 | 2009-10-22 | [
"funct-an",
"hep-th",
"math.OA"
] | M. Chaichian, R. Gonzalez Felipe and P. Presnajder |
funct-an/9305002 | Connection between the harmonic analysis on the sphere and the harmonic
analysis on the one-sheeted hyperboloid: an analytic continuation viewpoint | In a previous paper $[$B,V-1$]$, an algebra of holomorphic ``perikernels'' on
a complexified hyperboloid $ X^{(c)}_{d-1} $ (in $\Bbb C^d)$ has been
introduced; each perikernel $ {\cal K} $ can be seen as the analytic
continuation of a kernel $ {\bf K} $ on the unit sphere $ \Bbb S^{d-1} $ in an
appropriate ``cut-domain... | 1993-05-12 | 2016-08-31 | [
"funct-an",
"math.FA"
] | J. Bros, G.A. Viano |
funct-an/9305001 | On a groupoid construction for actions of certain inverse semigroups | We consider a version of the notion of F-inverse semigroup (studied in the
algebraic theory of inverse semigroups). We point out that an action of such an
inverse semigroup on a locally compact space has associated a natural groupoid
construction, very similar to the one of a transformation group. We discuss
examples r... | 1993-05-11 | 2008-02-03 | [
"funct-an",
"math.OA"
] | Alexandru Nica |
funct-an/9303004 | Approximation of Relaxed Dirichlet Problems by Boundary Value problems
in perforated domains | Given an elliptic operator~$L$ on a bounded domain~$\Omega \subseteq {\bf
R}^n$, and a positive Radon measure~$\mu$ on~$\Omega$, not charging polar sets,
we discuss an explicit approximation procedure which leads to a sequence of
domains~$\Omega_h \subseteq \Omega$ with the following property: for
every~$f\in H^{-1}(\O... | 1993-03-26 | 2016-08-31 | [
"funct-an",
"math.FA"
] | Gianni Dal Maso, Annalisa Malusa |
funct-an/9303003 | A Wiener estimate for relaxed Dirichlet problems in dimension $N\geq 2$ | We prove a Wiener energy estimate for relaxed Dirichlet problems $Lu + \mu u
=\nu$ in $\Omega$, with $L$ an uniformly elliptic operator with bounded
coefficients, $\mu$ a measure of ${\cal M}_0(\Omega)$, $\nu$ a Kato measure and
$\Omega$ a bounded open set of ${\bf R}^N$, $N \geq 2$. Choosing a particular
$\mu$, we obt... | 1993-03-26 | 2008-02-03 | [
"funct-an",
"math.FA"
] | Adriana Garroni |
funct-an/9303002 | Coherent States of the q--Canonical Commutation Relations | For the $q$-deformed canonical commutation relations $a(f)a^\dagger(g) =
(1-q)\,\langle f,g\rangle{\bf1}+q\,a^\dagger(g)a(f)$ for $f,g$ in some Hilbert
space ${\cal H}$ we consider representations generated from a vector $\Omega$
satisfying $a(f)\Omega=\langle f,\phi\rangle\Omega$, where $\phi\in{\cal H}$.
We show that... | 1993-03-12 | 2016-08-31 | [
"funct-an",
"math.OA"
] | P.E.T. J{\o}rgensen and R.F. Werner |
funct-an/9303001 | Spectral and polar decomposition in AW*-algebras | We show the possibility and the uniqueness of polar decomposition of elements
of arbitrary AW*-algebras inside them. We prove that spectral decomposition of
normal elements of normal AW*-algebras is possible and unique inside them. The
possibility of spectral decomposition of normal elements does not depend on the
norm... | 1993-03-11 | 2008-02-03 | [
"funct-an",
"math.OA"
] | Michael Frank |
funct-an/9302008 | Modular Structure and Duality in Conformal Quantum Field Theory | Making use of a recent result of Borchers, an algebraic version of the
Bisognano-Wichmann theorem is given for conformal quantum field theories, i.e.
the Tomita-Takesaki modular group associated with the von Neumann algebra of a
wedge region and the vacuum vector concides with the evolution given by the
rescaled pure L... | 1993-02-25 | 2011-04-06 | [
"funct-an",
"math.OA"
] | R. Brunetti, D. Guido, R. Longo |
funct-an/9302007 | Operator spaces and residually finite-dimensional $C^\ast$-algebras | For every operator space $X$ the $C^\ast$-algebra containing it in a
universal way is residually finite-dimensional (that is, has a separating
family of finite-dimensional representations). In particular, the free
$C^\ast$-algebra on any normed space so is. This is an extension of an earlier
result by Goodearl and Mena... | 1993-02-25 | 2008-02-03 | [
"funct-an",
"math.OA"
] | Vladimir G. Pestov |
funct-an/9302005 | Factoriality and the Connes invariant T(M) for free products of von
Neumann algebras | This revised version corrects some substancial errors in the proofs. The old
proofs were only valid for (finite dimensional) * (finite dimensional). The
scope of the results remains the same, however for type I_\infty algebras, the
results of the original version were incorrect. | 1993-02-22 | 2016-08-31 | [
"funct-an",
"math.OA"
] | Kenneth J. Dykema |
funct-an/9302006 | On the Fock representation of the q-commutation relations | The q-commutation relations in the title are those that have recently
received much attention, and that for -1<q<1 provide an interpolation between
Bosonic and Fermionic statistics, passing through free statistics at q=0. We
look at the C*-algebra R^q generated by the representation of these relations
on the twisted Fo... | 1993-02-22 | 2016-08-31 | [
"funct-an",
"math.OA"
] | Ken Dykema, Alexandru Nica |
funct-an/9302004 | Time-Frequency Localization and the Gabor Transform | The time-frequency content of a signal can be measured by the Gabor transform
or windowed Fourier transform. This is a function defined on phase space that
is computed by taking the Fourier transform of the product of the signal
against a translate of a fixed window. The problem of finding signals with
Gabor transform ... | 1993-02-18 | 2008-02-03 | [
"funct-an",
"math.FA"
] | Jayakumar Ramanathan and Pankaj Topiwala |
funct-an/9302001 | The Bunce-Deddens Algebras as Crossed Products by Partial Automorphisms | We describe both the Bunce-Deddens C*-algebras and their Toeplitz versions,
as crossed products of commutative C*-algebras by partial automorphisms. In the
latter case, the commutative algebra has, as its spectrum, the union of the
Cantor set and a copy the set of natural numbers N, fitted together in such a
way that N... | 1993-02-09 | 2008-02-03 | [
"funct-an",
"math.OA"
] | Ruy Exel |
funct-an/9302002 | Algebraic orders on $K_0$ and approximately finite operator algebras | This is a revised and corrected version of a preprint circulated in 1990 in
which various non-self-adjoint limit algebras are classified. The principal
invariant is the scaled $K_0$ group together with the algebraic order on the
scale induced by partial isometries in the algebra. | 1993-02-09 | 2008-02-03 | [
"funct-an",
"math.OA"
] | S. C. Power |
funct-an/9302003 | On the outer automorphism groups of triangular alternation limit
algebras | Let $A$ denote the alternation limit algebra, studied by Hopenwasser and
Power, and by Poon, which is the closed direct limit of upper triangular matrix
algebras determined by refinement embeddings of multiplicity $r_k$ and standard
embeddings of multiplicity $s_k$. It is shown that the quotient of the
isometric automo... | 1993-02-09 | 2016-08-31 | [
"funct-an",
"math.OA"
] | S. C. Power |
funct-an/9301003 | A Factorization Theorem for Smooth Crossed Products | We show that if E is a Frechet G\rtimes S(M)-module, for which the canonical
map from the projective completion G\rtimes S(M) {\widehat \otimes} E to E is
surjective, then every element of E can be written as a finite sum of elements
of the form ae where e\in E and a is an element of the smooth crossed product
G\rtimes... | 1993-01-29 | 2016-02-15 | [
"funct-an",
"math.OA"
] | Larry B. Schweitzer |
funct-an/9301005 | Generalized fixed-point algebras of certain actions on crossed products | Let G and H be two locally compact groups acting on a C*-algebra A by
commuting actions. We construct an action on the crossed product AXG out of a
unitary 2-cocycle u and the action of H on A. For A commutative, and free and
proper actions of G and H, we show that if the roles of these two actions are
reversed, and u ... | 1993-01-28 | 2008-02-03 | [
"funct-an",
"math.OA"
] | Beatriz Abadie |
funct-an/9301004 | "Vector bundles" over quantum Heisenberg manifolds | By means of techniques from the Morita equivalence theory, we get finitely
generated and projective modules over the quantum Heisenberg manifolds. This
enables us to get some information about the range of the trace of these
algebras, at the level of the K_{0}-group, in terms of the Poisson bracket in
whose direction t... | 1993-01-28 | 2008-02-03 | [
"funct-an",
"math.OA"
] | Beatriz Abadie |
funct-an/9301002 | Summary of Spectral Invariance Results | The author's recent results on spectral invariant dense subalgebras of
C*-algebras associated with dynamical systems are summarized. If G is a
compactly generated polynomial growth Type R Lie group, and the action of G on
S(M) (Schwartz functions on a locally compact G-space M) is tempered in a
certain sense, then ther... | 1993-01-23 | 2016-02-15 | [
"funct-an",
"math.OA"
] | Larry B. Schweitzer |
funct-an/9301001 | Lie-algebras and linear operators with invariant subspaces | A general classification of linear differential and finite-difference
operators possessing a finite-dimensional invariant subspace with a polynomial
basis (the generalized Bochner problem) is given. The main result is that any
operator with the above property must have a representation as a polynomial
element of the un... | 1993-01-16 | 2008-02-03 | [
"funct-an",
"math.OA"
] | Alexander Turbiner |
gr-qc/9312039 | On the alternative description of complex holomorphic and Lorentz
geometries in four dimensions. II. Appendix | This supplementary part of the paper gr-qc 9312038 contains the necessary
proofs of the claims stated in the main part. | 1993-12-29 | 2007-05-23 | [
"gr-qc"
] | S.Tertychniy |
gr-qc/9312040 | Application of the Lagrange-Souriau form method to the case of
source-free electromagnetic field | The recent method of the description of classical fields in terms of
Lagrange-Souriau form is applied to the case of source-free electromagnetic
field in order to check its computational capabilities. The relevant
calculations are represented in all details and yield a useful data for
comparisons of the method with mor... | 1993-12-29 | 2007-05-23 | [
"gr-qc"
] | S.Tertychniy |
gr-qc/9312038 | On the alternative description of complex holomorphic and Lorentz
geometries in four dimensions | The equivalence of a conformal metric on 4-dimensional space-time and a local
field of 3-dimensional subspaces of the space of 2-forms over space-time is
discussed and the basic notion of transection is introduced. Corresponding
relation is spread to the metric case in terms of notion of normalized ordered
oriented tra... | 1993-12-29 | 2007-05-23 | [
"gr-qc"
] | S.Tertychniy |
gr-qc/9312037 | Poincar\'{e} gauge theory of gravity | A Poincar\'{e} gauge theory of (2+1)-dimensional gravity is developed.
Fundamental gravitational field variables are dreibein fields and Lorentz gauge
potentials, and the theory is underlain with the Riemann-Cartan space-time. The
most general gravitational Lagrangian density, which is at most quadratic in
curvature an... | 1993-12-27 | 2009-10-22 | [
"gr-qc"
] | Toshiharu Kawai |
gr-qc/9312035 | Quantum Brownian Motion in a Bath of Parametric Oscillators: A model for
system-field interactions | The quantum Brownian motion paradigm provides a unified framework where one
can see the interconnection of some basic quantum statistical processes like
decoherence, dissipation, particle creation, noise and fluctuation. We treat
the case where the Brownian particle is coupled linearly to a bath of time
dependent quadr... | 1993-12-23 | 2008-11-26 | [
"gr-qc",
"astro-ph",
"cond-mat",
"hep-th"
] | B. L. Hu and Andrew Matacz |
gr-qc/9312036 | Noise and Fluctuations in Semiclassical Gravity | We continue our earlier investigation of the backreaction problem in
semiclassical gravity with the Schwinger-Keldysh or closed-time-path (CTP)
functional formalism using the language of the decoherent history formulation
of quantum mechanics. Making use of its intimate relation with the
Feynman-Vernon influence functi... | 1993-12-23 | 2016-08-31 | [
"gr-qc",
"hep-th"
] | Esteban Calzetta and B. L. Hu |
gr-qc/9312034 | Uncertainty Relation for a Quantum Open System | We derive the uncertainty relation for a quantum open system comprised of a
Brownian particle interacting with a bath of quantum oscillators at finite
temperature. We examine how the quantum and thermal fluctuations of the
environment contribute to the uncertainty in the canonical variables of the
system. We show that ... | 1993-12-23 | 2015-06-25 | [
"gr-qc",
"hep-th"
] | B. L. Hu and Yuhong Zhang |
gr-qc/9312033 | Quantum Gravitational Collapse of a Charged Dust Shell | A simple self gravitating system --- a thin spherical shell of charged
pressureless matter --- is naively quantized as a test case of quantum
gravitational collapse. The model is interpreted in terms of an inner product
on the positive energy states. An S-matrix is constructed describing scattering
between negatively a... | 1993-12-21 | 2014-11-17 | [
"gr-qc"
] | Eli Hawkins |
gr-qc/9312031 | Gravity, Non-Commutative Geometry and the Wodzicki Residue | We derive an action for gravity in the framework of non-commutative geometry
by using the Wodzicki residue. We prove that for a Dirac operator $D$ on an $n$
dimensional compact Riemannian manifold with $n\geq 4$, $n$ even, the Wodzicki
residue Res$(D^{-n+2})$ is the integral of the second coefficient of the heat
kernel... | 1993-12-21 | 2015-06-25 | [
"gr-qc",
"hep-th"
] | W.Kalau, M.Walze |
gr-qc/9312032 | Ashtekar Variables in Classical General Realtivity | This paper contains an introduction into Ashtekar's reformulation of General
Relativity in terms of connection variables. To appear in "Canonical Gravity -
From Classical to Quantum", ed. by J. Ehlers and H. Friedrich, Springer Verlag
(1994). | 1993-12-21 | 2009-10-22 | [
"gr-qc"
] | Domenico Giulini |
gr-qc/9312030 | Nonsymmetric Gravity has Unacceptable Global Asymptotics | We analyze the radiative aspects of nonsymmetric gravity theory to show that,
in contrast to General Relativity, its nonstationary solutions cannot
simultaneously exhibit acceptable asymptotic behavior at both future and past
null infinity: good behavior at future null infinity is only possible through
the use of advan... | 1993-12-20 | 2007-05-23 | [
"gr-qc"
] | T. Damour, S. Deser and J. McCarthy |
gr-qc/9312029 | Extended Loops: A New Arena for Nonperturbative Quantum Gravity | We propose a new representation for gauge theories and quantum gravity. It
can be viewed as a generalization of the loop representation. We make use of a
recently introduced extension of the group of loops into a Lie Group. This
extension allows the use of functional methods to solve the constraint
equations. It puts i... | 1993-12-17 | 2009-10-22 | [
"gr-qc",
"hep-th"
] | C. Di Bartolo, R. Gambini, J. Griego and J. Pullin |
gr-qc/9312027 | Time Gravity and Quantum Mechanics | Time plays different roles in quantum mechanics and gravity. These roles are
examined and the problems that the conflict in the roles presents for quantum
gravity are briefly summarised. | 1993-12-17 | 2008-02-03 | [
"gr-qc"
] | W.G. Unruh |
gr-qc/9312028 | Distributional Energy-Momentum Tensor of the Kerr-Newman Space-Time
Family | Using the Kerr-Schild decomposition of the metric tensor that employs the
algebraically special nature of the Kerr-Newman space-time family, we calculate
the energy-momentum tensor. The latter turns out to be a well-defined
tensor-distribution with disk-like support. | 1993-12-17 | 2010-04-06 | [
"gr-qc"
] | Herbert Balasin and Herbert Nachbagauer |
gr-qc/9312026 | Solutions to the Wheeler-Dewitt Equation Inspired by the String
Effective Action | The Wheeler-DeWitt equation is derived from the bosonic sector of the
heterotic string effective action assuming a toroidal compactification. The
spatially closed, higher dimensional Friedmann-Robertson-Walker (FRW) cosmology
is investigated and a suitable change of variables rewrites the equation in a
canonical form. ... | 1993-12-16 | 2010-04-06 | [
"gr-qc"
] | James E. Lidsey |
gr-qc/9312022 | Eternal inflation and the initial singularity | It is shown that a physically reasonable spacetime that is eternally
inflating to the future must possess an initial singularity. | 1993-12-15 | 2010-04-06 | [
"gr-qc"
] | Arvind Borde and Alexander Vilenkin |
gr-qc/9312024 | Cosmological "Ground State" Wave Functions in Gravity and
Electromagnetism | The coincidence of quantum cosmology solutions generated by solving a
Euclidean version of the Hamilton-Jacobi equation for gravity and by using the
complex canonical transformation of the Ashtekar variables is discussed. An
examination of similar solutions for the free electromagnetic field shows that
this coincidence... | 1993-12-15 | 2007-05-23 | [
"gr-qc"
] | Michael P. Ryan Jr |
gr-qc/9312025 | Curvature and Flatness in a Brans-Dicke Universe | The evolution of a universe with Brans-Dicke gravity and nonzero curvature is
investigated here. We present the equations of motion and their solutions
during the radiation dominated era. In a Friedman-Robertson-Walker cosmology we
show explicitly that the three possible values of curvature $\kappa=+1,0,-1$
divide the ... | 1993-12-15 | 2010-11-01 | [
"gr-qc",
"astro-ph"
] | Janna Levin and Katherine Freese |
gr-qc/9312023 | On Black Hole Entropy | Two techniques for computing black hole entropy in generally covariant
gravity theories including arbitrary higher derivative interactions are
studied. The techniques are Wald's Noether charge approach introduced recently,
and a field redefinition method developed in this paper. Wald's results are
extended by establish... | 1993-12-15 | 2014-11-17 | [
"gr-qc",
"hep-th"
] | Ted Jacobson, Gungwon Kang and Robert C. Myers |
gr-qc/9312021 | Multivector Solutions to the Hyper-Holomorphic Massive Dirac Equation | Attention is given to the interface of mathematics and physics, specifically
noting that fundamental principles limit the usefulness of otherwise perfectly
good mathematical general integral solutions. A new set of multivector
solutions to the meta-monogenic (massive) Dirac equation is constructed which
form a Hilbert ... | 1993-12-15 | 2007-05-23 | [
"gr-qc",
"hep-th"
] | William M. Pezzaglia Jr |
gr-qc/9312020 | Reduced Hamiltonians | We resurrect a standard construction of analytical mechanics dating from the
last century. The technique allows one to pass from any dynamical system whose
first order evolution equations are known, and whose bracket algebra is not
degenerate, to a system of canonical variables and a non-zero Hamiltonian that
generates... | 1993-12-13 | 2010-04-06 | [
"gr-qc"
] | J.A. Rubio and R.P. Woodard |
gr-qc/9312019 | Quantum Kinetic Equations and Cosmology | We analyse quantum--kinetic effects in the early Universe. We show that
quantum corrections to the Vlasov equation give rise to a dynamical variation
of the gravitational constant. The value of the gravitational constant at the
Grand Unification epoch is shown to differ from its present value to about
$10^{-4} \div 10^... | 1993-12-11 | 2009-10-22 | [
"gr-qc",
"astro-ph"
] | Oleg A. Fonarev |
gr-qc/9312018 | Time-Dependent Open String Solutions in 2+1 Dimensional Gravity | We find general, time-dependent solutions produced by open string sources
carrying no momentum flow in 2+1 dimensional gravity. The local Poincar\'e
group elements associated with these solutions and the coordinate
transformations that transform these solutions into Minkowski metric are
obtained. We also find the relat... | 1993-12-10 | 2010-11-01 | [
"gr-qc"
] | Hai Ren |
gr-qc/9312017 | Predictability in Quantum Gravity and Black Hole Evaporation | A possible resolution of the information loss paradox for black holes is
proposed in which a phase transition occurs when the temperature of an
evaporating black hole equals a critical value, $T_c$, and Lorentz invariance
and diffeomorphism invariance are spontaneously broken. This allows a
generalization of Schr\"odin... | 1993-12-09 | 2007-05-23 | [
"gr-qc"
] | J. W. Moffat |
gr-qc/9312016 | Periodic Solutions of the Einstein Equations for Binary Systems | This revision includes clarified exposition and simplified analysis.
Solutions of the Einstein equations which are periodic and have standing
gravitational waves are valuable approximations to more physically realistic
solutions with outgoing waves. A variational principle is found which has the
power to provide an acc... | 1993-12-09 | 2010-05-12 | [
"gr-qc"
] | Steven Detweiler |
gr-qc/9312015 | The semiclassical approximation to quantum gravity | A detailed review is given of the semiclassical approximation to quantum
gravity in the canonical framework. This includes in particular the derivation
of the functional Schr\"odinger equation and a discussion of semiclassical time
as well as the derivation of quantum gravitational correction terms to the
Schr\"odinger... | 1993-12-09 | 2009-10-22 | [
"gr-qc",
"astro-ph",
"hep-th"
] | C. Kiefer |
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