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Mathematical Physics papers — page 234

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Factorization of Ising correlations C(M,N) for ν= \, -k and M+N odd, M N, T < Tc and their lambda extensions
We study the factorizations of Ising low-temperature correlations C(M,N) for ν=-k and M+N odd, M N, for both the cases M≠ 0 where there are two factors, and M=0 where there are four…
S. Boukraa, C. Cosgrove, J. -M. Maillard et al.Apr 21, 2022
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Spinors in K-Hilbert Spaces
We consider a structure of the K-Hilbert space, where K is a field of real numbers, K is a field of complex numbers,…
V. V. VarlamovApr 21, 2022
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Local mathematics and scaling field: effects on local physics and on cosmology
The origin of this paper starts with the observation by Yang Mills that what state represents a proton in isospin space at one location does not determine what state represents a proton in isospin…
Paul BenioffApr 21, 2022
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J-matrix method of scattering for inverse-square singular potentials with supercritical coupling II. Regularization
This paper is a continuation of the previous one [Journal xx, xxxxx (2022)]. Here, we reformulate the same J-matrix theory by regularizing the inverse square singular potential. The objective is to…
Abdulaziz D. Alhaidari, Hocine Bahlouli, S. M. Al-Marzoug et al.Apr 21, 2022
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The Scott conjecture for large Coulomb systems: a review
We review some older and more recent results concerning the energy and particle distribution in ground states of heavy Coulomb systems. The reviewed results are asymptotic in nature: they describe…
Rupert L. Frank, Konstantin Merz, Heinz SiedentopApr 21, 2022
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SYK model with an extra diagonal perturbation: phase transition in the eigenvalue spectrum
We study the SYK model with an extra constant source, i.e. a constant matrix or equivalently a diagonal matrix with only one non-zero entry λ1. By using methods from analytic combinatorics, we…
Shuang WuApr 21, 2022
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A Swanson-like Hamiltonian and the inverted harmonic oscillator
We deduce the eigenvalues and the eigenvectors of a parameter-dependent Hamiltonian Hθ which is closely related to the Swanson Hamiltonian, and we construct bi-coherent states for it. After that,…
Fabio BagarelloApr 21, 2022
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Spectral Analysis of Scattering Resonances with Application on High Contrast Nanospheres
In this paper we provide further spectral analysis of the general asymptotic scattering resonances formula of small high contrast 3D dielectrics of arbitrary shape, initially derived to a first order…
Taoufik Meklachi, Kevin Li, Brian AdamsApr 20, 2022
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Exact 3D scattering solutions for spherical symmetric scatterers
In this paper, exact solutions to the problem of acoustic scattering by elastic spherical symmetric scatterers are developed. The scatterer may consist of an arbitrary number of fluid and solid…
Jon Vegard Venås, Trond JenserudApr 20, 2022
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A variational framework for the inverse Henderson problem of statistical mechanics
The inverse Henderson problem refers to the determination of the pair potential which specifies the interactions in an ensemble of classical particles in continuous space, given the density and the…
Fabio Frommer, Martin HankeApr 20, 2022
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Rigorous analysis of the effects of electron-phonon interactions on magnetic properties in the one-electron Kondo lattice model
The Kondo lattice model (KLM) is a typical model describing heavy fermion systems. In this paper, we consider the interaction of phonons with the system described by the one-electron KLM. Magnetic…
Tadahiro Miyao, Kazuhiro Nishimata, Hayato TominagaApr 19, 2022
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On multi-soliton solutions to the Heisenberg ferromagnetic spin chain equation in (2+1)-dimensions
This paper concentrates on the Heisenberg ferromagnetic spin chain (HFSC) equation in (2+1)-dimensions modelling nonlinear wave propagation in ferromagnetic spin chain. A variable transformation is…
Zhou-Zheng Kang, Rong-Cao YangApr 19, 2022
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Construction of Exact Solutions to Nahm's Equations for the Multimonopole
We construct high rank solutions to Nahm's equations for boundary conditions that correspond to the Dirac multimonopole. Here, the spectral curve is explicitly known and we achieve the…
H. W. Braden, Sergey A. Cherkis, Jason M. QuinonesApr 16, 2022
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Perturbation theory for a non-equilibrium stationary state of a one-dimensional stochastic wave equation
We address the problem of constructing a non-equilibrium stationary state for a one-dimensional stochastic Klein-Gordon wave equation with non-linearity, using perturbation theory. The linear theory…
Gianluca Guadagni, Lawrence E. ThomasApr 15, 2022
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Effective Dynamics of Extended Fermi Gases in the High-Density Regime
We study the quantum evolution of many-body Fermi gases in three dimensions, in arbitrarily large domains. We consider both particles with non-relativistic and with relativistic dispersion. We focus…
Luca Fresta, Marcello Porta, Benjamin SchleinApr 14, 2022
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Dimensional reduction of Courant sigma models and Lie theory of Poisson groupoids
We show that the 2d Poisson Sigma Model on a Poisson groupoid arises as an effective theory of the 3d Courant Sigma Model associated to the double of the underlying Lie bialgebroid. This…
Alejandro Cabrera, Miquel CuecaApr 14, 2022
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Kraus-Like Decompositions
We introduce a new decomposition of quantum channels acting on group algebras, which we term Kraus-like (operator) decompositions. We motivate this decomposition with a general nonexistence result…
Jonathan Boretsky, Robert LinApr 14, 2022
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On Hilbert's sixth problem
Feynman path integrals are now a standard tool in quantum physics and their use in differential geometry leads to new mathematical insights. A logical treatment of quantum phenomena seems to require…
B. R. F. JefferiesApr 14, 2022
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Stability for QED in d=3: an overview
We report on a result on quantum electrodynamics on a three dimensional Euclidean spacetime. The model is formulated on a toroidal lattice with unit volume and variable lattice spacing. The result is…
J. DimockApr 14, 2022
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Semiclassical WKB Problem for the non-self-adjoint Dirac operator with an analytic rapidly oscillating potential
In this paper we examine the semiclassical behavior of the scattering data of a non-self-adjoint Dirac operator with a rapidly oscillating potential that is complex analytic in some neighborhood of…
Setsuro Fujiié, Nicholas Hatzizisis, Spyridon KamvissisApr 14, 2022
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Construction of polynomial algebras from intermediate Casimir invariants of Lie algebras
We propose a systematic procedure to construct polynomial algebras from intermediate Casimir invariants arising from (semisimple or non-semisimple) Lie algebras g. In this approach, we…
Danilo Latini, Ian Marquette, Yao-Zhong ZhangApr 14, 2022
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Time-time covariance for last passage percolation in half-space
This article studies several properties of the half-space last passage percolation, in particular the two-time covariance. We show that, when the two end-points are at small macroscopic distance,…
Patrik L. Ferrari, Alessandra OccelliApr 14, 2022
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Local correlation functions of the two-periodic weighted Aztec diamond in mesoscopic limit
Here we study the two-periodic weighted dimer model on the Aztec diamond graph. In the thermodynamic limit when the size of the graph goes to infinity while weights are fixed, the model develops a…
Emily BainApr 13, 2022
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Model knot solutions for the twisted Bogomolny equations
In this paper we prove existence for model knot solutions to the dimensionally reduced twisted Kapustin-Witten equations on R3+ for any twisting parameter t∈(0,∞). We start with…
Panagiotis DimakisApr 13, 2022
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Persistence of spectral projections for stochastic operators on large tensor products
In this paper it is proved that for families of stochastic operators on a countable tensor product, depending smoothly on parameters, any spectral projection persists smoothly, where smoothness is…
Robert S MacKayApr 13, 2022
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