Skip to content

Mathematical Physics papers — page 79

math-phBrowse archive

Anomalous diffusion for mass transport phenomena I: Analytic solutions to time fractional diffusion
Mass transport problems are ubiquitous in diverse fields of physics and engineering. With the development of fractional calculus, many have taken to studying problems of fractional mass transport…
Nathaniel G. Hermann, M. Shane HutsonJun 16, 2025
Learn
A note on Hall conductance and Hall conductivity in interacting Fermion systems
In this note we consider lattice fermions on Z2 with a gapped ground state and show how to apply the NEASS approach to linear response to derive a formula for the Hall conductance in…
Stefan Teufel, Marius WesleJun 16, 2025
Learn
Many-body Localization and Poisson statistics in the Quantum Sun model
The Quantum Sun model is a many-body Hamiltonian model of interacting spins arranged on the half-line (or the line). Spins at distance n from the origin are coupled to the rest of the system via a…
Wojciech De Roeck, Amirali HannaniJun 16, 2025
Learn
Topological Invariants in Higher-Dimensional Magnetohydrodynamics
It is well known that the three-dimensional ideal magnetohydrodynamics (MHD) equations possess three magnetic invariants: (M) magnetic helicity, (C) cross helicity, and (P) the mean-square magnetic…
Naoki Sato, Ken Abe, Michio YamadaJun 16, 2025
Learn
The Casimir eigenvalues on ad k of SU(N) are linear on N
We consider eigenvalues of the Casimir operator on the naturally defined stable sequences of representations of su(N) algebra and prove that eigenvalues are linear over N iff…
R. L. MkrtchyanJun 16, 2025
Learn
The Kuramoto model on the Sierpinski Gasket II: Twisted states
We study the Kuramoto model (KM) of coupled phase oscillators on graphs approximating the Sierpinski gasket (SG). As the size of the graph tends to infinity, the limit points of the sequence of…
Georgi S. Medvedev, Matthew S. MizuharaJun 15, 2025
Learn
Multi-parameter isospectral Fokker-Planck equations
From a given Fokker-Planck equation, a multi-parameter deformed partner Fokker-Planck equation is constructed. This is done by first deleting a set of eigenstates of the original FPE by the…
Choon-Lin HoJun 15, 2025
Learn
Local perturbations of block Toeplitz matrices
This work is about the asymptotic spectral theory of tridiagonal Toeplitz matrices with matrix entries, with periodicity broken on a finite number of entries. Varying the ranks of these perturbations…
Lars Koekenbier, Hermann Schulz-BaldesJun 15, 2025
Learn
Lower Bounds on Quantum Tunneling for Excited States
We revisit the problem of quantum tunneling for a particle moving in the continuum, and in the absence of a magnetic field. In all spatial dimensions, we extend previous results to the case where the…
Charles L. Fefferman, Jacob Shapiro, Michael I. WeinsteinJun 14, 2025
Learn
Correction to: The Double-Wedge Algebra for Quantum Fields on Schwarzschild and Minkowski Spacetimes
There is an error in the proof (but not the truth) of Theorem 3.2 in the author's 1985 paper "The Double-Wedge Algebra for Quantum Fields on Schwarzschild and Minkowski Spacetimes" in "Communications…
Bernard S. KayJun 14, 2025
Learn
Ergodic Theory of Inhomogeneous Quantum Processes
This work develops a rigorous framework for analysing ergodicity and mixing in time-inhomogeneous quantum dynamics. It considers quantum evolutions generated by sequences of quantum channels and…
Abdessatar SouissiJun 14, 2025
Learn
A relation between k-symplectic and k-contact Hamiltonian systems
Systems of partial differential equations which appear in classical field theories can be studied geometrically using different geometrical structures, for example, k-symplectic geometry,…
S. VilariñoJun 13, 2025
Learn
A survey on geometric frameworks for action-dependent classical field theories and their relationship
This work presents a comprehensive overview of three recently developed geometric frameworks for the study of classical action-dependent field theories. Specifically, the three underlying geometric…
Jordi Gaset-Rifà, Xavier Rivas, Narciso Román-RoyJun 13, 2025
Learn
A remarkable dynamical symmetry of the Landau problem
We show that the dynamical group of an electron in a constant magnetic field is the group of symplectomorphisms Sp(4,R). It is generated by the spinorial realization of the conformal…
Tekin Dereli, Philippe Nounahon, Todor PopovJun 13, 2025
Learn
A new look at Perturbation Theory in QFT and Resolvent Series
We give a short introduction for elementary mathematical tools used in the context of Quantum Field Theory. These notes were motivated by a reading group in Lyon on Talagrand's book…
Raphael DucatezJun 13, 2025
Learn
Critical Ising correlations on a torus
We prove convergence of multi-point spin correlations in the critical Ising model on a torus. Via Pfaffian identities, this also implies convergence of other correlations, including correlations of…
Baran Bayraktaroglu, Konstantin IzyurovJun 12, 2025
Learn
On Universal Deformations of Compressible Cauchy Elastic Solids Reinforced by Inextensible Fibers
Universal deformations are those that can be maintained in the absence of body forces and with boundary tractions alone, for all materials within a given constitutive class. We study the universal…
Arash YavariJun 12, 2025
Learn
The Bisognano-Wichmann property for non-unitary Wightman conformal field theories
The Bisognano-Wichmann and Haag duality properties for algebraic quantum field theories are often studied using the powerful tools of Tomita-Takesaki modular theory for nets of operator algebras. In…
James E. TenerJun 12, 2025
Learn
Lieb's Theorem for Bose Hubbard Models
Using a cone-theoretical method, we prove the uniqueness of the ground state for two Bose Hubbard models. The first model is the usual Bose Hubbard model with real hopping coefficients and attractive…
Zhong-Chao Wei, Chong ZhaoJun 12, 2025
Learn
Algebraic Limits of Sandpiles
The paper contributes to building algebraic foundations of self-organized criticality answering a previously unsolved question about the limiting structure of the extended sandpile group as well as…
Mikhail ShkolnikovJun 11, 2025
Learn
Radon Transforms and the SYK model
Motivated by recent work on the Sachdev-Ye-Kitaev (SYK) model, we consider the effect of Radon or X-ray transformations, on the Laplace eigenfunctions in hyperbolic Bolyai-Lobachevsky space. We show…
Michael StoneJun 11, 2025
Learn
Metriplectic relaxation to equilibria
Metriplectic dynamical systems consist of a special combination of a Hamiltonian and a (generalized) entropy-gradient flow, such that the Hamiltonian is conserved and entropy is dissipated/produced…
C. Bressan, M. Kraus, O. Maj et al.Jun 11, 2025
Learn
Decay of Interatomic Force Constants in the Reduced Hartree-Fock Model
We study the decay of the interatomic force constants (equivalently, the smoothness properties of the dynamical matrix) in perfect crystals both at finite electronic temperature, and for insulators…
Eric Cances, Antoine Levitt, Jack ThomasJun 11, 2025
Learn
Recurrence relations and the Christoffel-Darboux formula for elliptic orthogonal polynomials
In recent years, there has been significant progress in the theory of orthogonal polynomials on algebraic curves, particularly on genus 1 surfaces. In this paper, we focus on elliptic orthogonal…
Harini Desiraju, Sampad LahiryJun 11, 2025
Learn
General solutions to the equations of acoustics in inhomogeneous media and gas dynamics
This paper considers one-dimensional equations of acoustics equations of inhomogeneous media and the system of gas dynamics equations with constant entropy. Using the Riemann approach, the gas…
O. V. KaptsovJun 11, 2025
Learn
← PreviousPage 79Next →