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/9206001 | Self Organization and a Dynamical Transition in Traffic Flow Models | A simple model that describes traffic flow in two dimensions is studied. A
sharp {\it jamming transition } is found that separates between the low density
dynamical phase in which all cars move at maximal speed and the high density
jammed phase in which they are all stuck. Self organization effects in both
phases are s... | 1992-06-02 | 2009-10-22 | [
"cond-mat"
] | Ofer Biham, A. Alan Middleton and Dov Levine |
cond-mat/9205016 | C_{60} with O defects: Localized states in the gap and oxygen clustering | We propose a Su-Schrieffer-Heeger type electron-phonon model for C_{60} with
O defects and solve by the adiabatic approximation. Two new properties are
obtained. (1) The dimerization becomes weaker around the oxygen. Two localized
states appear deep in the gap. Optical transition between them is allowed. This
accords w... | 1992-05-28 | 2007-05-23 | [
"cond-mat"
] | Kikuo Harigaya (Fundamental Physics Section, Electrotechnical
Laboratory, Japan) |
cond-mat/9205014 | Lattice distortion and energy level structures in doped C_{60} and
C_{70} studied with the extended Su-Schrieffer-Heeger model: Polaron
excitations and optical absorption | We extend the Su-Schrieffer-Heeger model of polyacetylene to C_{60} and
C_{70} molecules, and solve numerically. The calculations of the undoped
systems agree well with the known results. When the system (C_{60} or C_{70})
is doped with one or two electrons (or holes), the additional charges
accumulate almost along an ... | 1992-05-27 | 2007-05-23 | [
"cond-mat"
] | Kikuo Harigaya (Fundamental Physics Section, Electrotechnical
Laboratory, Japan) |
cond-mat/9205015 | Dynamic scaling and quasi-ordered states in the two dimensional
Swift-Hohenberg equation | The process of pattern formation in the two dimensional Swift-Hohenberg
equation is examined through numerical and analytic methods. Dynamic scaling
relationships are developed for the collective ordering of convective rolls in
the limit of infinite aspect ratio. The stationary solutions are shown to be
strongly influe... | 1992-05-27 | 2009-10-22 | [
"cond-mat"
] | K.R. Elder (1), Jorge Vi\~nals (2) and Martin Grant (1) ((1)
Department of Physics, McGill University, Rutherford Building, Montr\'eal,
Qu\'ebec, Canada (2) Supercomputer Computations Research Institute, B-186,
Florida State University, Tallahassee, Florida) |
cond-mat/9205013 | Molecular Dynamics Simulation of Compressible Fluid Flow in
Two-Dimensional Channels | We study compressible fluid flow in narrow two-dimensional channels using a
novel molecular dynamics simulation method. In the simulation area, an upstream
source is maintained at constant density and temperature while a downstream
reservoir is kept at vacuum. The channel is sufficiently long in the direction
of the fl... | 1992-05-26 | 2009-10-22 | [
"cond-mat"
] | M. Sun and C. Ebner (Department of Physics, The Ohio State University,
Columbus, OH) |
cond-mat/9205012 | Dispersion of the Third-Order Nonlinear Optical Susceptibility in C_{60}
Calculated with a Tight-Binding Model | The frequency dependence of third harmonic generation (THG) in C_{60} is
calculated, making use of a tight-binding model for pi-electrons. The
magnitudes of the THG, about 10^{-12} esu, near zero frequency, agree with
those in experiments for the low-energy region. We can also explain the order
of the magnitude, 10^{-1... | 1992-05-26 | 2007-05-23 | [
"cond-mat"
] | Kikuo Harigaya and Shuji Abe (Fundamental Physics Section,
Electrotechnical Laboratory, Japan) |
cond-mat/9205010 | Elastic String in a Random Potential | We have studied numerically the dynamics of a directed elastic string in a
two-dimensional array of quenched random impurities. The string is driven by a
constant transverse force and thermal fluctuations are neglected. There is a
transition from pinned to unpinned behavior at a critical value $F_T$ of the
driving forc... | 1992-05-20 | 2009-10-22 | [
"cond-mat"
] | M. Dong, M.C. Marchetti, A. Alan Middleton, V. Vinokur |
cond-mat/9205011 | Thermal Rounding of the Charge Density Wave Depinning Transition | The rounding of the charge density wave depinning transition by thermal noise
is examined. Hops by localized modes over small barriers trigger
``avalanches'', resulting in a creep velocity much larger than that expected
from comparing thermal energies with typical barriers. For a field equal to the
$T=0$ depinning fiel... | 1992-05-20 | 2009-10-22 | [
"cond-mat"
] | A. Alan Middleton |
cond-mat/9205009 | Determinant Representation for time and temperature dependent
correlation functions in the isotropic XY model in the transverse magnetic
field | Astymptotics of temperature correlations is the most dificult problem of
stat. mech. Recently it was solved for the impenetrable Bose Gas. The idea is
to represent correlation function as $\tau$ function of calssical completely
integrable differential equation. Now we start to apply this program to
isotropic XY model i... | 1992-05-16 | 2011-06-21 | [
"cond-mat"
] | F. Colomo, A. Izergin, V. Korepin, V. Tognetti |
cond-mat/9205008 | Metals in high magnetic field: a new universality class of Fermi liquids | Parquet equations, describing the competition between superconducting and
density-wave instabilities, are solved for a three-dimensional isotropic metal
in a high magnetic field when only the lowest Landau level is filled. In the
case of a repulsive interaction between electrons, a phase transition to the
density-wave ... | 1992-05-14 | 2009-10-22 | [
"cond-mat"
] | Victor M. Yakovenko |
cond-mat/9205007 | Theory of Thermodynamic Magnetic Oscillations in Quasi-One-Dimensional
Conductors | The second order correction to free energy due to the interaction between
electrons is calculated for a quasi-one-dimensional conductor exposed to a
magnetic field perpendicular to the chains. It is found that specific heat,
magnetization and torque oscillate when the magnetic field is rotated in the
plane perpendicula... | 1992-05-14 | 2009-10-22 | [
"cond-mat"
] | Victor M. Yakovenko |
cond-mat/9205006 | Quaternion Generalization of the Laughlin State and the Three
Dimensional Fractional QHE | The 3D state of strongly correlated electrons is proposed, which in the
external magnetic field $\vec B$ exhibits the fractional quantum Hall effect,
with the zero temperature conductivity tensor $\sigma_{ij} = (e^2/h)(1/m)
\sum_k \epsilon_{ijk} B^k/\mid \vec B\mid $. The analog of Landau and Laughlin
states in 3D are ... | 1992-05-06 | 2007-05-23 | [
"cond-mat"
] | A. V. Balatsky |
cond-mat/9205005 | Z_N Phases in Hot Gauge Theories | We argue that the \zn phases of hot gauge theories cannot be realized as a
real system with an Hermitean density matrix. | 1992-05-06 | 2009-12-30 | [
"cond-mat"
] | Wei Chen, Mikhail Dobroliubov, and Gordon Semenoff |
cond-mat/9205004 | Low Energy Behavior of Quantum Adsorption | We present an exact solution of a 1D model: a particle of incident energy $E$
colliding with a target which is a 1D harmonic ``solid slab'' with $N$ atoms in
its ground state; the Hilbert space of the target is restricted to the ($N+1$)
states with zero or one phonon present. For the case of a short range
interaction, ... | 1992-05-05 | 2007-05-23 | [
"cond-mat"
] | D.P. Clougherty and W. Kohn |
cond-mat/9205003 | Bilinear Quantum Monte Carlo: Expectations and Energy Differences | We propose a bilinear sampling algorithm in Green's function Monte Carlo for
expectation values of operators that do not commute with the Hamiltonian and
for differences between eigenvalues of different Hamiltonians. The integral
representations of the Schroedinger equations are transformed into two
equations whose sol... | 1992-05-03 | 2010-01-12 | [
"cond-mat"
] | Shiwei Zhang and M.H. Kalos |
cond-mat/9205001 | Coulomb drag between two-dimensional electron systems | The Coulomb contribution to the temperature-dependent rate of momentum
transfer, $1/\tau_D$, between two electron systems in parallel layers is
determined by setting up two coupled Boltzmann equations, with the boundary
condition that no current flows in the layer where an induced voltage is
measured. The effective Cou... | 1992-05-01 | 2009-10-22 | [
"cond-mat"
] | Antti-Pekka Jauho and Henrik Smith |
cond-mat/9205002 | Roughening of Reconstructed Crystal Surfaces and the Hubbard Model | We consider a model of a reconstructed crystal surface, first considered by
Villain and Vilfan (Europhys. Lett. 12, p. 523 (1990) and Surf. Sci. 257, p.
368 (1991)) for the gold (110) surface, in which roughening occurs via the
formation of anisotropic steps traversing the entire length of the crystal. The
model is stu... | 1992-05-01 | 2007-05-23 | [
"cond-mat"
] | Leon Balents and Mehran Kardar |
cond-mat/9204018 | Absence of Dipole Transitions in Vortices of Type II Superconductors | The response of a single vortex to a time dependent field is examined
microscopically and an equation of motion for vortex motion at non-zero
frequencies is derived. Of interest are frequencies near $\Delta^{2}/E_{F}$,
where $\Delta$ is the bulk energy gap and $E_{F}$ is the fermi energy. The low
temperature, clean, ex... | 1992-04-30 | 2009-10-22 | [
"cond-mat"
] | Theodore C. Hsu (CRTBT-CNRS, Grenoble France) |
cond-mat/9204017 | On Models with Inverse-Square Exchange | A one-dimensional quantum N-body system of either fermions or bosons with
$SU(n)$ colors interacting via inverse-square exchange is presented in this
article. A class of eigenstates of both the continuum and lattice version of
the model Hamiltonians is constructed in terms of the Jastrow-product type wave
function. The... | 1992-04-29 | 2009-10-22 | [
"cond-mat"
] | Z.N.C. Ha and F.D.M. Haldane |
cond-mat/9204014 | Blockspin Cluster Algorithms for Quantum Spin Systems | Cluster algorithms are developed for simulating quantum spin systems like the
one- and two-dimensional Heisenberg ferro- and anti-ferromagnets. The
corresponding two- and three-dimensional classical spin models with four-spin
couplings are maped to blockspin models with two-blockspin interactions.
Clusters of blockspin... | 1992-04-28 | 2009-10-22 | [
"cond-mat"
] | U.-J. Wiese and H.-P. Ying |
cond-mat/9204015 | Logarithmically slow domain growth in nonrandomly frustrated systems:
Ising models with competing interactions | It is known that in systems which contain randomness explicitly in their
Hamiltonians (e.g., due to impurities), the characteristic size L of the
ordered domains can grow only logarithmically with time t following a quench
below the transition temperature. However, in systems without such imposed
randomness, much faste... | 1992-04-28 | 2009-10-22 | [
"cond-mat"
] | Joel D. Shore, Mark Holzer, and James P. Sethna |
cond-mat/9204016 | Logarithmically slow domain growth in nonrandomly frustrated systems---
A summary of the major results | Here, we summarize the most important results of our study of logarithmically
slow growth of domains following a quench in two models without randomness in
their Hamiltonians.
This is a slightly updated version of a paper to appear in the Proceedings of
the 1st Annual Tohwa University International Symposium, Fukuoka... | 1992-04-28 | 2016-08-31 | [
"cond-mat"
] | Joel D. Shore, James P. Sethna, Mark Holzer, and Veit Elser |
cond-mat/9204013 | Beyond the ``principle of local symmetry'': derivation of a general
crack propagation law | We derive a general crack propagation law for slow brittle cracking, in two
and three dimensions, using symmetry, gauge invariance, and gradient
expansions. Our derivation provides explicit justification for the ``principle
of local symmetry,'' which has been used extensively to describe two
dimensional crack growth, b... | 1992-04-24 | 2009-10-22 | [
"cond-mat"
] | Jennifer Hodgdon and James P. Sethna |
cond-mat/9204012 | Tweed in Martensites: A Potential New Spin Glass | We've been studying the ``tweed'' precursors above the martensitic transition
in shape--memory alloys. These characteristic cross--hatched modulations occur
for hundreds of degrees above the first--order shape--changing transition. Our
two--dimensional model for this transition, in the limit of infinite elastic
anisotr... | 1992-04-23 | 2015-06-25 | [
"cond-mat"
] | James P. Sethna, Sivan Kartha, Teresa Cast'an, and James A. Krumhansl |
cond-mat/9204011 | Fredholm Determinant Representation for Correlation Functions in XXO
Heisenberg Chain | Space and time dependent temepreture correlation fucntions in the Hiesenberg
XXO chain are evaluated in the magnetic field. The other name of the model is
isotropic xy model in the transverse magnetic field. In the thermodynamic limit
correlations in the model are represented as Fredhom determinanat. We expect
this to ... | 1992-04-22 | 2008-02-03 | [
"cond-mat"
] | F.Colomo, A.G. Izergin, V. Korepin |
cond-mat/9204010 | Meissner Effect and Constraints | We notice some beautiful geometrical defects found in liquid crystals, and
explain them by imposing a constraint. We study the way constraints can occur,
and introduce the concept of massive fields. We develop the theory of magnetic
field expulsion in superconductors as an example. We notice strong analogies
with the f... | 1992-04-22 | 2008-02-03 | [
"cond-mat"
] | James P. Sethna, Ming Huang |
cond-mat/9204009 | Order Parameters, Broken Symmetry, and Topology | We introduce the theoretical framework we use to study the bewildering
variety of phases in condensed--matter physics. We emphasize the importance of
the breaking of symmetries, and develop the idea of an order parameter through
several examples. We discuss elementary excitations and the topological theory
of defects. | 1992-04-22 | 2009-09-25 | [
"cond-mat"
] | James P. Sethna |
cond-mat/9204008 | Image of the Energy Gap Anisotropy in the Vibrational Spectum of a High
Temperature Superconductor | We present a new method of determining the anisotropy of the gap function in
layered high-Tc superconductors. Careful inelastic neutron scattering
measurements at low temperature of the phonon dispersion curves in the (100)
direction in La_(1.85)Sr_(.15)CuO_4 would determine whether the gap is
predominately s-wave or d... | 1992-04-21 | 2009-10-22 | [
"cond-mat"
] | Michael E. Flatte |
cond-mat/9204007 | Theory of Directed Polymers | We develop a theory of polymers in a nematic solvent by exploiting an analogy
with two-dimensional quantum bosons at zero temperature. We argue that the
theory should also describe polymers in an {\sl isotropic} solvent. The dense
phase is analyzed in a Bogoliubov-like approximation, which assumes a broken
symmetry in ... | 1992-04-14 | 2009-10-22 | [
"cond-mat"
] | R.D. Kamien, P. Le Doussal, and D.R. Nelson |
cond-mat/9204006 | Chirality Ordering of Chiral Spin Liquids | We study the effect of introducing a weak antiferromagnetic interplanar
exchange coupling in the two dimensional frustrated Heisenberg model. We show
that a ferromagnetic(FM) ordering of chirality - {\it i.e.}, same chirality on
adjacent planes - is energetically favoured, thus leading to bulk violation of
the discrete... | 1992-04-14 | 2009-10-22 | [
"cond-mat"
] | D. M. Gaitonde, Dileep P. Jatkar and Sumathi Rao |
cond-mat/9204005 | Investigations of Pairing in Anyon Systems | We investigate pairing instabilities in the Fermi-liquid-like state of a
single species of anyons. We describe the anyons as Fermions interacting with a
Chern-Simons gauge field and consider the weak coupling limit where their
statistics approaches that of Fermions. We show that, within the conventional
BCS approach, d... | 1992-04-13 | 2009-10-22 | [
"cond-mat"
] | M.I.Dobroliubov, I.I.Kogan, and G.W.Semenoff |
cond-mat/9204004 | Physics beyond quasi-particles: Spectrum and completeness of the 3 state
superintegrable chiral Potts model | We find the rules which count the energy levels of the 3 state
superintegrable chiral Potts model and demonstrate that these rules are
complete. We then derive the complete spectrum of excitations in the
thermodynamic limit in the massive phase and demonstrate the existence of
excitations which do not have a quasi-part... | 1992-04-13 | 2007-05-23 | [
"cond-mat"
] | Srinandan Dasmahapatra, Rinat Kedem and Barry M. McCoy |
cond-mat/9204003 | A novel class of singlet superconductors | A new class of singlet superconductors with a gap function $\Delta(\bk,
\omega_n)$ which is {\it odd} in both momentum and Matsubara frequency is
considered. Some of the physical properties of this superconductivity are
discussed and it is argued that: i) the electron-phonon interaction can produce
this kind of pairing... | 1992-04-10 | 2007-05-23 | [
"cond-mat"
] | Alexander Balatsky and Elihu Abrahams |
cond-mat/9204002 | Spin Singlet Quantum Hall Effect and Nonabelian Landau-Ginzburg Theory | We show that the Halperin-Haldane SQHE wave function can be written in the
form of a product of a wave function for charged semions in a magnetic field
and a wave function for the Chiral Spin Liquid of neutral spin-$\12$ semions.
We introduce field-theoretic model in which the electron operators are
factorized in terms... | 1992-04-10 | 2015-06-25 | [
"cond-mat"
] | Alexander Balatsky (Los Alamos National Laboratory) |
cond-mat/9204001 | Universal quantum critical dynamics of two-dimensional antiferromagnets | The universal dynamic and static properties of two dimensional
antiferromagnets in the vicinity of a zero-temperature phase transition from
long-range magnetic order to a quantum disordered phase are studied. Random
antiferromagnets with both N\'{e}el and spin-glass long-range magnetic order
are considered. Explicit qu... | 1992-04-10 | 2009-10-22 | [
"cond-mat"
] | Subir Sachdev and Jinwu Ye |
cond-mat/9603180 | Lack of Self-affinity and Anomalous Roughening in Growth Processes | We contrast analytical results of a variety of growth models involving
subdiffusion, thermal noise and quenched disorder with simulations of these
models, concluding that the assumed self-affinity property is more an exception
than a rule. In our two dimensional models, self-affine surfaces may only
appear when the rou... | 1992-03-28 | 2016-08-15 | [
"cond-mat"
] | Juan M. L\'opez and Miguel A. Rodr\'iguez (Instituto de Fisica de
Cantabria CSIC-UC, Spain) |
cs/9301116 | The problem of compatible representatives | The purpose of this note is to attach a name to a natural class of
combinatorial problems and to point out that this class includes many important
special cases. We also show that a simple problem of placing nonoverlapping
labels on a rectangular map is NP-complete. | 1992-07-01 | 2008-02-03 | [
"cs.DS",
"math.CO"
] | Donald E. Knuth, Arvind Raghunathan |
funct-an/9212005 | A Fredholm Operator Approach To Morita Equivalence | Given C*-algebras A and B and an imprimitivity A-B-bimodule X, we construct
an explicit isomorphism X_* : K_i(A) --> K_i(B) where K_i denote the complex
K-theory functors for i=0, 1. Our techniques do not require separability nor
existence of countable approximate identities. We thus extend, to general
C*-algebras, the... | 1992-12-31 | 2008-02-03 | [
"funct-an",
"math.OA"
] | Ruy Exel |
funct-an/9212004 | The Soft Torus II: A Variational Analysis of Commutator Norms | The field of C*-algebras over the interval [0,2] for which the fibers are the
Soft Tori is shown to be continuous. This result is applied to show that any
pair of non-commuting unitary operators can be perturbed (in a weak sense) in
such a way to decrease the commutator norm. Perturbations in norm are also
considered a... | 1992-12-19 | 2008-02-03 | [
"funct-an",
"math.OA"
] | Ruy Exel |
funct-an/9212003 | Compression Limit Algebras | This paper studies direct limits of full upper triangular matrix algebras
with embeddings which are not *-extendible. A representation of the limit
algebra is found so that the generated C*-algebra is the C*-envelope. Some
examples are described. | 1992-12-18 | 2008-02-03 | [
"funct-an",
"math.OA"
] | Alan Hopenwasser, Cecelia Laurie |
funct-an/9212002 | On von Neumann algebras which are complemented subspaces of B(H) | If there exists a completely bounded projection of B(H) onto a von Neumann
algebra M on H, then M is injective. If there exists a bounded projection and M
is properly infinite, the same conclusion holds. | 1992-12-14 | 2008-02-03 | [
"funct-an",
"math.OA"
] | Erik Christensen and Allan M. Sinclair |
funct-an/9212001 | The free abelian topological group and the free locally convex space on
the unit interval | We give a complete description of the topological spaces $X$ such that the
free abelian topological group $A(X)$ embeds into the free abelian topological
group $A(I)$ of the closed unit interval. In particular, the free abelian
topological group $A(X)$ of any finite-dimensional compact metrizable space $X$
embeds into ... | 1992-12-11 | 2008-02-03 | [
"funct-an",
"math.OA"
] | A.G. Leiderman, S.A. Morris and V.G. Pestov |
funct-an/9211014 | Non-commutative spheres and numerical quantum mechanics | We discuss some basic issues that arise when one attempts to model quantum
mechanical systems on a computer, and we describe the mathematical structure of
the resulting discretized cannonical commutation relations. | 1992-11-30 | 2008-02-03 | [
"funct-an",
"math.OA"
] | William Arveson |
funct-an/9211015 | Discretized CCR algebras | We discuss how the canonical commutation relations must be modified in order
to make appropriate numerical models of quantum systems. The C*-algebras
associated with the discretized CCRs are the non-commutative spheres of
Bratteli, Elliott, Evans and Kishimoto. | 1992-11-30 | 2008-02-03 | [
"funct-an",
"math.OA"
] | William Arveson |
funct-an/9211012 | Interpolated free group factors | The interpolated free group factors L(F_r), 1 < r <= \infty, are defined and
proofs of their properties with respect to compression by projections and
taking free products are proved. Hence it follows that all the free group
factor are isomorphic to each other or none of them are. These factors were
defined and these p... | 1992-11-28 | 2008-02-03 | [
"funct-an",
"math.OA"
] | Ken Dykema |
funct-an/9211013 | Free products of hyperfinite von Neumann algebras and free dimension | The free product of an arbitrary pair of finite hyperfinite von Neumann
algebras is examined, and the result is determined to be the direct sum of a
finite dimensional algebra and an interpolated free group factor $L(\freeF_r)$.
The finite dimensional part depends on the minimal projections of the original
algebras and... | 1992-11-28 | 2008-02-03 | [
"funct-an",
"math.OA"
] | Ken Dykema |
funct-an/9211011 | On certain free product factors via an extended matrix model | Voiculescu's random matrix model for freeness is extended to the non-Gaussian
case and also the case of constant block diagonal matrices. Thus we are able to
investigate free products of free group factors with matrix algebras and with
the hyperfinite II$_1$ factor, showing that $$ L(F_n) * R = L(F_(n+1)) $$ for
$n \ge... | 1992-11-28 | 2016-08-31 | [
"funct-an",
"math.OA"
] | Ken Dykema |
funct-an/9211009 | Spectral Invariance of Dense Subalgebras of Operator Algebras | We define the notion of strong spectral invariance for a dense Frechet
subalgebra A of a Banach algebra B. We show that if A is strongly spectral
invariant in a C*-algebra B, and G is a compactly generated polynomial growth
Type R Lie group, not necessarily connected, then the smooth crossed product
G\rtimes A is spect... | 1992-11-27 | 2016-02-15 | [
"funct-an",
"math.OA"
] | Larry B. Schweitzer |
funct-an/9211010 | Dense m-convex Frechet Subalgebras of Operator Algebra Crossed Products
by Lie Groups | Let A be a dense Frechet *-subalgebra of a C*-algebra B. (We do not require
Frechet algebras to be m-convex.) Let G be a Lie group, not necessarily con-
nected, which acts on both $A$ and B by *-automorphisms, and let \s be a sub-
multiplicative function from G to the nonnegative real numbers. If \s and the
action of G... | 1992-11-27 | 2016-02-15 | [
"funct-an",
"math.OA"
] | Larry B. Schweitzer |
funct-an/9211008 | An analytic structure emerging in presence of infinitely many odd
coordinates | This is a contribution to the program of featuring even geometry as a
``collective effect in infinite-dimensional odd geometry,'' as suggested by
Manin. We show that the (Gel'fand) spectrum of the locally convex nonstandard
hull (in the sense of Luxemburg) of a grassmannian algebra with infinitely many
odd generators c... | 1992-11-27 | 2008-02-03 | [
"funct-an",
"math.OA"
] | Vladimir G. Pestov |
funct-an/9211007 | Representable K-theory of Smooth Crossed Products by R and Z | We show that the Thom isomorphism and the Pimsner-Voiculescu exact sequence
both hold for smooth crossed products of Frechet algebras by R and Z
respectively. We also obtain the same results for L^{1}-crossed products of
Banach algebras by R and Z. | 1992-11-25 | 2016-02-15 | [
"funct-an",
"math.OA"
] | N. Christopher Phillips and Larry B. Schweitzer |
funct-an/9211005 | A Short Proof that $M_{n}(A)$ is local if $A$ is local and Fr\'echet | We give a short and very general proof of the fact that the property of a
dense Fr\'echet subalgebra of a Banach algebra being local, or closed under the
holomorphic functional calculus in the Banach algebra, is preserved by
tensoring with the $n\times n$ matrix algebra of the complex numbers. | 1992-11-25 | 2016-02-12 | [
"funct-an",
"math.OA"
] | Larry B. Schweitzer |
funct-an/9211006 | A Non-Spectral Dense Banach Subalgebra of the Irrational Rotation
Algebra | We give an example of a dense, simple, unital Banach subalgebra $A$ of the
irrational rotation C*-algebra $B$, such that $A$ is not a spectral subalgebra
of $B$. This answers a question posed in T.W. Palmer's paper [1]. | 1992-11-25 | 2016-02-15 | [
"funct-an",
"math.OA"
] | Larry B. Schweitzer |
funct-an/9211004 | Approximately Finite C*-Algebras and Partial Automorphisms | We prove that every AF-algebra is isomorphic to a crossed product of a
commutative AF-algebra by a partial automorphism. The case of UHF-algebras is
treated in detail. | 1992-11-24 | 2008-02-03 | [
"funct-an",
"math.OA"
] | Ruy Exel |
funct-an/9211003 | Improper filtrations for C*-algebras: spectra of unilateral tridiagonal
operators | We extend the results of our previous paper "C*-algebras and numerical linear
algebra" to cover the case of "unilateral" sections. This situation bears a
close resemblance to the case of Toeplitz operators on Hardy spaces, in spite
of the fact that the operators here are far from Toeplitz operators. In
particular, ther... | 1992-11-23 | 2008-02-03 | [
"funct-an",
"math.OA"
] | William Arveson |
funct-an/9211002 | C*-algebras and numerical linear algebra | We consider problems associated with the computation of spectra of
self-adjoint operators in terms of the eigenvalue distributions of their n x n
sections. Under rather general circumstances, we show how these eigenvalues
accumulate near points of the essential spectrum of the given operator, and we
prove that their av... | 1992-11-22 | 2008-02-03 | [
"funct-an",
"math.OA"
] | William Arveson |
funct-an/9211001 | Circle Actions on C*-Algebras, Partial Automorphisms and a Generalized
Pimsner-Voiculescu Exact Sequence | We introduce a method to study C*-algebras possessing an action of the circle
group, from the point of view of its internal structure and its K-theory. Under
relatively mild conditions our structure Theorem shows that any C*-algebra,
where an action of the circle is given, arises as the result of a construction
that ge... | 1992-11-22 | 2016-08-31 | [
"funct-an",
"math.OA"
] | Ruy Exel |
funct-an/9209001 | Extremal Selections of Multifunctions Generating a Continuous Flow | Let $F:[0,T]\times\R^n\mapsto 2^{\R^n}$ be a continuous multifunction with
compact, not necessarily convex values. In this paper, we prove that, if $F$
satisfies the following Lipschitz Selection Property: \begin{itemize}
\item[{(LSP)}] {\sl For every $t,x$, every $y\in \overline{co} F(t,x)$ and
$\varepsilon>0$, there ... | 1992-09-09 | 2016-08-31 | [
"funct-an",
"math.FA"
] | Alberto Bressan and Graziano Crasta |
funct-an/9208001 | Universal arrows to forgetful functors from categories of topological
algebra | We survey the present trends in theory of universal arrows to forgetful
functors from various categories of topological algebra and functional analysis
to categories of topology and topological algebra. Among them are free
topological groups, free locally convex spaces, free Banach-Lie algebras, and
much more. An accen... | 1992-08-20 | 2008-02-03 | [
"funct-an",
"math.OA"
] | Vladimir G. Pestov |
funct-an/9205003 | Nonstandard hulls of Banach-Lie groups and algebras | We propose a new construction of Banach-Lie groups and algebras relying on
nonstandard analysis. A major standard application is the Local Theorem which
to certain extent reduces the problem of associating a Lie group to a given
banach-Lie algebra to a similar problem for finitely generated Lie subalgebras.
We discuss ... | 1992-05-19 | 2008-02-03 | [
"funct-an",
"math.OA"
] | Vladimir G. Pestov |
funct-an/9205002 | Integral representation for a class of $C^1$-convex functionals | In view of the applications to the asymptotic analysis of a family of
obstacle problems, we consider a class of convex local functionals $F(u,A)$,
defined for all functions $u$ in a suitable vector valued Sobolev space and for
all open sets $A$ in ${\bf R}^n$. Sufficient conditions are given in order to
obtain an integ... | 1992-05-11 | 2008-02-03 | [
"funct-an",
"math.FA"
] | Gianni Dal Maso, Anneliese Defranceschi, Enrico Vitali |
funct-an/9205001 | A Baire Category Approach to the Bang-Bang Property | Aim of this paper is to develop a new technique, based on the Baire category
theorem, in order to establish the closure of reachable sets and the existence
of optimal trajectories for control systems, without the usual convexity
assumptions. The bang-bang property is proved for a new class of ``concave"
multifunctions,... | 1992-05-06 | 2008-02-03 | [
"funct-an",
"math.FA"
] | Alberto Bressan and Benedetto Piccoli |
gr-qc/9212016 | String Instabilities in Black Hole Spacetimes | We study the emergence of string instabilities in $D$ - dimensional black
hole spacetimes (Schwarzschild and Reissner - Nordstr\o m), and De Sitter space
(in static coordinates to allow a better comparison with the black hole case).
We solve the first order string fluctuations around the center of mass motion
at spatia... | 1992-12-30 | 2009-10-22 | [
"gr-qc",
"hep-th"
] | C.O.Lousto and N. S\'anchez |
gr-qc/9212015 | (1+1)-Dimensional Methods for General Relativity | This is an article contributed to the Brill Festschrift, in honor of the 60th
birthday of Prof. D.R. Brill, which will appear in the Vol.2 of the Proceedings
of the International Symposia on Directions in General Relativity. In this
article we present the (1+1)-dimensional method for studying general relativity
of 4-di... | 1992-12-29 | 2007-05-23 | [
"gr-qc"
] | J.H. Yoon |
gr-qc/9212014 | Anisotropic and inhomogeneous cosmologies | This review was given at the 65th birthday meeting of D.W. Sciama, The
Renaissance of General Relativity and Cosmology, to be published by Cambridge
University Press. It presents progress in the understanding of non-standard
relativistic cosmologies during Sciama's career, organized by the areas of
application rather t... | 1992-12-21 | 2008-02-12 | [
"gr-qc"
] | M.A.H. MacCallum |
gr-qc/9212013 | Inhomogeneous and anisotropic cosmologies | This is a review of cosmological models prepared for the Pont d'Oye workshop
on the origin of structure in the universe. The classes of models are discussed
in turn, and then some of their uses are considered. | 1992-12-21 | 2011-03-28 | [
"gr-qc"
] | M.A.H. MacCallum |
gr-qc/9212012 | Collisions of Einstein-Conformal Scalar Waves | A large class of solutions of the Einstein-conformal scalar equations in
D=2+1 and D=3+1 is identified. They describe the collisions of asymptotic
conformal scalar waves and are generated from Einstein-minimally coupled scalar
spacetimes via a (generalized) Bekenstein transformation. Particular emphasis
is given to the... | 1992-12-18 | 2016-08-17 | [
"gr-qc"
] | C. Klim\v{c}\'ik and P. Koln\'ik |
gr-qc/9212011 | A Nonlinear Model of a Quantum Minisuperspace System with Back Reaction | We consider the quantum evolution of the space-independent mode of a $\lambda
{\phi}^4$ theory as a minisuperspace in the space of all $\phi$. The motion of
the wave packet in the minisuperspace is then compared to the motion of a wave
packet in a larger minisuperspace consisting of the original minisuperspace
plus one... | 1992-12-16 | 2011-07-19 | [
"gr-qc"
] | Marcos Rosenbaum, Michael P. Ryan and Sukanya Sinha |
gr-qc/9212010 | Black Hole Tunneling Entropy and the Spectrum of Gravity | The tunneling approach for entropy generation in quantum gravity is applied
to black holes. The area entropy is recovered and shown to count only a tiny
fraction of the black hole degeneracy. The latter stems from the extension of
the wave function outside the barrier. In fact the semi-classical analysis
leads to infin... | 1992-12-15 | 2010-04-06 | [
"gr-qc",
"hep-th"
] | A. Casher and F. Englert |
gr-qc/9212009 | Magnetically Charged Black Holes and their Stability | We study magnetically charged black holes in the Einstein-Yang-Mills-Higgs
theory in the limit of infinitely strong coupling of the Higgs field. Using
mixed analytical and numerical methods we give a complete description of static
spherically symmetric black hole solutions, both abelian and nonabelian. In
particular, w... | 1992-12-14 | 2010-11-01 | [
"gr-qc",
"hep-th"
] | Peter C. Aichelburg and Piotr Bizon |
gr-qc/9212007 | Weak-Field Gravity of Revolving Circular Cosmic Strings | A weak-field solution of Einstein's equations is constructed. It is generated
by a circular cosmic string revolving in its plane about the centre of the
circle. (The revolution is introduced to prevent the string from collapsing.)
This solution exhibits a conical singularity, and the corresponding deficit
angle is the ... | 1992-12-10 | 2009-10-22 | [
"gr-qc"
] | Des J. Mc Manus and Michel A. Vandyck |
gr-qc/9212006 | On Cosmological Isotropy, Quantum Cosmology and the Weyl Curvature
Hypothesis | The increasing entropy, large-scale isotropy and approximate flatness of the
universe are considered in the context of signature change, which is a
classical model of quantum tunnelling in quantum cosmology. The signature
change hypothesis implies an initial inflationary epoch, the magnetic half of
the Weyl curvature h... | 1992-12-10 | 2010-04-06 | [
"gr-qc"
] | Sean A. Hayward |
gr-qc/9212008 | The Coherent State Representation of Quantum Fluctuations in the Early
Universe | Using the squeezed state formalism the coherent state representation of
quantum fluctuations in an expanding universe is derived. It is shown that this
provides a useful alternative to the Wigner function as a phase space
representation of quantum fluctuations. The quantum to classical transition of
fluctuations is nat... | 1992-12-10 | 2009-10-22 | [
"gr-qc",
"astro-ph"
] | A.L. Matacz |
gr-qc/9212005 | Dark Matter and Non-Newtonian Gravity From General Relativity on a
Stringy Background | An exact solution of Einstein's field equations for a static spherically
symmetric medium with a radially boost invariant energy-momentum tensor is
presented. In the limit of an equation of state corresponding to a distribution
of radially directed strings there is a $1/r$ correction to Newton's force law.
At large dis... | 1992-12-09 | 2007-05-23 | [
"gr-qc"
] | Harald H. Soleng |
gr-qc/9212002 | Galilean Theories of Gravitation | A generalization of Newtonian gravitation theory is obtained by a suitable
limiting procedure from the ADM action of general relativity coupled to a
mass-point. Three particular theories are discussed and it is found that two of
them are invariant under an extended Galilei gauge group. | 1992-12-03 | 2008-02-03 | [
"gr-qc"
] | R. De Pietri, L. Lusanna, M. Pauri |
gr-qc/9212003 | Exotic Differentiable Structures and General Relativity | We review recent developments in differential topology with special concern
for their possible significance to physical theories, especially general
relativity. In particular we are concerned here with the discovery of the
existence of non-standard (``fake'' or ``exotic'') differentiable structures on
topologically sim... | 1992-12-03 | 2009-10-22 | [
"gr-qc"
] | Carl H. Brans and Duane Randall |
gr-qc/9212004 | Quantum Vacuum Instability Near Rotating Stars | We discuss the Starobinskii-Unruh process for the Kerr black hole. We show
how this effect is related to the theory of squeezed states. We then consider a
simple model for a highly relativistic rotating star and show that the
Starobinskii-Unruh effect is absent. | 1992-12-03 | 2009-10-22 | [
"gr-qc"
] | A L Matacz, A C Ottewill and P C W Davies |
gr-qc/9212001 | Cosmic Censorship in 2-Dimensional Dilaton Gravity | The global structure of 2-dimensional dilaton gravity is studied, attending
in particular to black holes and singularities. A gravitational energy is
defined and shown to be positive at spatial singularities and negative at
temporal singularities. Trapped points are defined, and it is shown that
spatial singularities a... | 1992-12-02 | 2010-04-06 | [
"gr-qc"
] | Sean A. Hayward |
gr-qc/9211028 | Thawing the Frozen Formalism: The Difference Between Observables and
What We Observe | In a parametrized and constrained Hamiltonian system, an observable is an
operator which commutes with all (first-class) constraints, including the
super-Hamiltonian. The problem of the frozen formalism is to explain how
dynamics is possible when all observables are constants of the motion. An
explicit model of a measu... | 1992-11-25 | 2007-05-23 | [
"gr-qc",
"hep-th"
] | Arlen Anderson |
gr-qc/9211027 | Chaotic Friedmann-Robertson-Walker Cosmology | We show that the dynamics of a spatially closed Friedmann - Robertson -
Walker Universe conformally coupled to a real, free, massive scalar field, is
chaotic, for large enough field amplitudes. We do so by proving that this
system is integrable under the adiabatic approximation, but that the
corresponding KAM tori brea... | 1992-11-23 | 2010-04-06 | [
"gr-qc"
] | E. Calzetta and C. El Hasi |
gr-qc/9211026 | Cauchy horizon singularity without mass inflation | A perturbed Reissner-Nordstr\"om-de Sitter solution is used to emphasize the
nature of the singularity along the Cauchy horizon of a charged spherically
symmetric black hole. For these solutions, conditions may prevail under which
the mass function is bounded and yet the curvature scalar
$R_{\alpha\beta\gamma\delta} R^... | 1992-11-20 | 2009-10-22 | [
"gr-qc",
"astro-ph"
] | P.R. Brady, D. Nunez and S. Sinha |
gr-qc/9211023 | Gravitational Waves in the Nonsymmetric Gravitational Theory | We prove that the flux of gravitational radiation from an isolated source in
the Nonsymmetric Gravitational Theory is identical to that found in Einstein's
General Theory of Relativity. | 1992-11-19 | 2010-11-01 | [
"gr-qc"
] | N. J. Cornish, J. W. Moffat and D. C. Tatarski |
gr-qc/9211025 | Spin effects in the inspiral of coalescing compact binaries | We derive the contributions of spin-orbit and spin-spin coupling to the
gravitational radiation from coalescing binary systems of spinning compact
objects. We calculate spin effects in the symmetric, trace-free radiative
multipoles that determine the gravitational waveform, and the rate of energy
loss. Assuming a balan... | 1992-11-19 | 2010-01-06 | [
"gr-qc"
] | Lawrence E. Kidder and Clifford M. Will (Washington University, St.
Louis) and Alan G. Wiseman (Northwestern University, Evanston) |
gr-qc/9211024 | Tunneling in Anisotropic Cosmological Models | Tunneling rate is investigated in homogenous and anisotropic cosmologies. The
calculations is done by two methods: Euclidean and Hamiltonian approaches. It
is found that the probability decreases exponentialy as anisotropy is
increased. | 1992-11-19 | 2010-04-06 | [
"gr-qc"
] | R. Mansouri and M.Mohazzab (BROWN) |
gr-qc/9211022 | Quantum Gravity by the Complex Canonical Formulation | The basic features of the complex canonical formulation of general relativity
and the recent developments in the quantum gravity program based on it are
reviewed. The exposition is intended to be complementary to the review articles
available already and some original arguments are included. In particular the
conventio... | 1992-11-18 | 2010-11-01 | [
"gr-qc"
] | Hideo Kodama |
gr-qc/9211021 | Dilaton Contributions to the Cosmic Gravitational Wave Background | We consider the cosmological amplification of a metric perturbation
propagating in a higher-dimensional Brans-Dicke background, including a non
trivial dilaton evolution. We discuss the properties of the spectral energy
density of the produced gravitons (as well as of the associated squeezing
parameter), and we show th... | 1992-11-17 | 2009-10-22 | [
"gr-qc",
"hep-th"
] | M.Gasperini and M.Giovannini |
gr-qc/9211020 | Superluminary Universe: A Possible Solution to the Initial Value Problem
in Cosmology | The spontaneous breaking of local Lorentz invariance in the early Universe,
associated with a first order phase transition at a critical time $t_c$,
generates a large increase in the speed of light and a superluminary
communication of information occurs, allowing all regions in the Universe to be
causally connected. Th... | 1992-11-16 | 2008-11-26 | [
"gr-qc",
"astro-ph",
"hep-th"
] | J. W. Moffat |
gr-qc/9211019 | What can we learn from the study of non-perturbative quantum general
relativity? | I attempt to answer the question of the title by giving an annotated list of
the major results achieved, over the last six years, in the program to
construct quantum general relativity using the Ashtekar variables and the loop
representation. A summary of the key open problems is also included. Also
included are exposi... | 1992-11-15 | 2007-05-23 | [
"gr-qc"
] | Lee Smolin |
gr-qc/9211018 | Generalized Fierz Identities and the Superselection Rule for Geometric
Multispinors | The inverse problem, to reconstruct the general multivector wave function
from the observable quadratic densities, is solved for 3D geometric algebra. It
is found that operators which are applied to the right side of the wave
function must be considered, and the standard Fierz identities do not
necessarily hold except ... | 1992-11-14 | 2009-09-25 | [
"gr-qc",
"hep-th"
] | William M. Pezzaglia Jr. (Physics, Santa Clara University) |
gr-qc/9211016 | Vacuum Polarisation and the Black Hole Singularity | In order to investigate the effects of vacuum polarisation on mass inflation
singularities, we study a simple toy model of a charged black hole with cross
flowing radial null dust which is homogeneous in the black hole interior. In
the region $r^2 \ll e^2$ we find an approximate analytic solution to the
classical field... | 1992-11-13 | 2010-04-06 | [
"gr-qc"
] | W. G. Anderson, P. R. Brady, and R. Camporesi |
gr-qc/9211017 | The Relation between Physical and Gravitational Geometry | The appearance of two geometries in one and the same gravitational theory is
familiar. Usually, as in the Brans-Dicke theory or in string theory, these are
conformally related Riemannian geometries. Is this the most general relation
between the two geometries allowed by physics ? We study this question by
supposing tha... | 1992-11-13 | 2011-07-18 | [
"gr-qc",
"astro-ph",
"hep-th"
] | Jacob D. Bekenstein (University of California at Santa Barbara and
Hebrew University of Jerusalem) |
gr-qc/9211015 | Discrete Symmetry, Non-Commutative Geometry and Gravity | We describe the geomety of a set of scalar fields coupled to gravity. We
consider the formalism of a differential Z_2-graded algebra of $2\times 2$
matrices whose elements are differential forms on space-time. The connection
and the vierbeins are extended to incorporate additional scalar and vector
fields. The resultin... | 1992-11-10 | 2007-05-23 | [
"gr-qc",
"hep-th"
] | N. Mohammedi |
gr-qc/9211014 | Unification of Gravity and Yang-Mills Theory in (2+1)-Dimensions | A gauge and diffeomorphism invariant theory in (2+1)-dimensions is presented
in both first and second order Lagrangian form as well as in a Hamiltonian
form. For gauge group $SO(1,2)$, the theory is shown to describe ordinary
Einstein gravity with a cosmological constant. With gauge group
$G^{tot}=SO(1,2)\otimes G^{YM}... | 1992-11-10 | 2009-10-22 | [
"gr-qc",
"hep-th"
] | Peter Peldan |
gr-qc/9211012 | Inflating Lorentzian Wormholes | It has been speculated that Lorentzian wormholes of the Morris- Thorne type
might be allowed by the laws of physics at submicroscopic, e.g. Planck, scales
and that a sufficiently advanced civilization might be able to enlarge them to
classical size. The purpose of this paper is to explore the possibility that
inflation... | 1992-11-09 | 2009-10-22 | [
"gr-qc"
] | Thomas A. Roman |
gr-qc/9211013 | Gauge Formulation of the Spinning Black Hole in (2+1)-Dimensional
Anti-de Sitter Space | We compute the group element of SO(2,2) associated with the spinning black
hole found by Ba\~nados, Teitelboim and Zanelli in (2+1)-dimensional anti-de
Sitter space-time. We show that their metric is built with SO(2,2) gauge
invariant quantities and satisfies Einstein's equations with negative
cosmological constant eve... | 1992-11-09 | 2009-10-22 | [
"gr-qc",
"hep-th"
] | Daniel Cangemi, Martin Leblanc and Robert B. Mann |
gr-qc/9211011 | Weak-Field Gravity of Circular Cosmic Strings | A weak-field solution of Einstein's equations is constructed. It is generated
by a circular cosmic string externally supported against collapse. The solution
exhibits a conical singularity, and the corresponding deficit angle is the same
as for a straight string of the same linear energy density. This confirms the
defi... | 1992-11-09 | 2009-10-22 | [
"gr-qc"
] | Shane J. Hughes, Des J. Mc Manus, and Michel A. Vandyck |
gr-qc/9211010 | Gauge (In)variance, Mass and Parity in D=3 Revisited | We analyze the degree of equivalence between abelian topologically massive,
gauge-invariant, vector or tensor parity doublets and their explicitly massive,
non-gauge, counterparts. We establish equivalence of field equations by
exploiting a generalized Stueckelberg invariance of the gauge systems. Although
the respecti... | 1992-11-06 | 2009-11-19 | [
"gr-qc"
] | S. Deser |
gr-qc/9211008 | Gauge Field Back-reaction on a Black Hole | The order $\hbar$ fluctuations of gauge fields in the vicinity of a blackhole
can create a repulsive antigravity region extending out beyond the renormalized
Schwarzschild horizon. If the strength of this repulsive force increases as
higher orders in the back-reaction are included, the formation of a
wormhole-like obje... | 1992-11-05 | 2009-10-22 | [
"gr-qc",
"astro-ph"
] | David Hochberg and Thomas W. Kephart |
gr-qc/9211009 | Positivity of Entropy in the Semi-Classical Theory of Black Holes and
Radiation | Quantum stress-energy tensors of fields renormalized on a Schwarzschild
background violate the classical energy conditions near the black hole.
Nevertheless, the associated equilibrium thermodynamical entropy $\Delta S$ by
which such fields augment the usual black hole entropy is found to be positive.
More precisely, t... | 1992-11-05 | 2009-12-30 | [
"gr-qc"
] | David Hochberg, Thomas Kephart and James W. York |
gr-qc/9211006 | Wormhole Cosmology and the Horizon Problem | We construct an explicit class of dynamic lorentzian wormholes connecting
Friedmann-Robertson-Walker (FRW) spacetimes. These wormholes can allow two-way
transmission of signals between spatially separated regions of spacetime and
could permit such regions to come into thermal contact. The cosmology of a
network of earl... | 1992-11-04 | 2009-10-22 | [
"gr-qc",
"hep-th"
] | David Hochberg and Thomas W. Kephart |
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