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Mathematical Physics papers — page 220

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Derivation of the Gross-Pitaevskii Theory for Interacting Fermions in a Trap
We study a dilute gas of interacting fermions at temperature T=0 and chemical potential μ ∈ R. The particles are trapped by an external potential, and they interact via a microscopic…
Andrea Calignano, Michele CorreggiAug 9, 2022
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Strictification theorems for the homotopy time-slice axiom
It is proven that the homotopy time-slice axiom for many types of algebraic quantum field theories (AQFTs) taking values in chain complexes can be strictified. This includes the cases of…
Marco Benini, Victor Carmona, Alexander SchenkelAug 8, 2022
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Conserved currents from nonlocal constants in relativistic scalar field theories
Nonlocal constants are functions that are constant along motion but whose value depends on the past history of the motion itself. They are a powerful tool to provide first integrals in classical…
Mattia ScomparinAug 8, 2022
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The Laplace operator, measure concentration, Gauss functions, and quantum mechanics
We represent in this note the solutions of the electronic Schrödinger equation as traces of higher-dimensional functions. This allows to decouple the electron-electron interaction potential but comes…
Harry YserentantAug 8, 2022
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Multimetric Finsler Geometry
Motivated in part by the bi-gravity approach to massive gravity, we introduce and study the multimetric Finsler geometry. For the case of an arbitrary number of dimensions, we study some general…
Patrícia Carvalho, Cristian Landri, Ravi Mistry et al.Aug 7, 2022
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Poisson reductions of master integrable systems on doubles of compact Lie groups
We consider three 'classical doubles' of any semisimple, connected and simply connected compact Lie group G: the cotangent bundle, the Heisenberg double and the internally fused quasi-Poisson…
L. FeherAug 7, 2022
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Open Quantum Random Walks and Quantum Markov chains on Trees II: The recurrence
In the present paper, we construct QMC (Quantum Markov Chains) associated with Open Quantum Random Walks such that the transition operator of the chain is defined by OQRW and the restriction of QMC…
Farrukh Mukhamedov, Abdessatar Souissi, Tarek Hamdi et al.Aug 7, 2022
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Differential Equations of Quantum Mechanics
We review very briefly the main mathematical structures and results in some important areas of Quantum Mechanics involving PDEs and formulate open problems.
Israel Michael SigalAug 7, 2022
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Open Quantum Random Walks and Quantum Markov chains on Trees I: Phase transitions
In the present paper, we construct QMC (Quantum Markov Chains) associated with Open Quantum Random Walks such that the transition operator of the chain is defined by OQRW and the restriction of QMC…
Farrukh Mukhamedov, Abdessatar Souissi, Tarek HamdiAug 7, 2022
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Entropy of Quantum Markov states on Cayley trees
In this paper, we continue the investigation of quantum Markov states (QMS) and define their mean entropies. Such entropies are explicitly computed under certain conditions. The present work takes a…
Farrukh Mukhamedov, Abdessatar SouissiAug 7, 2022
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Local eigenvalue statistics for higher-rank Anderson models after Dietlein-Elgart
We use the method of eigenvalue level spacing developed by Dietlein and Elgart (arXiv:1712.03925) to prove that the local eigenvalue statistics (LES) for the Anderson model on Zd, with uniform…
Samuel Herschenfeld, Peter D. HislopAug 7, 2022
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Ground state properties of the periodic Anderson model with electron-phonon interactions
The periodic Anderson model (PAM) is a fundamental model describing heavy fermion systems. In this paper, we examine the PAM with electron-phonon interactions. Introducing a new analytical method…
Tadahiro Miyao, Hayato TominagaAug 6, 2022
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Bogoliubov Transformations Beyond Shale-Stinespring: Generic v* v for bosons
We construct an extension of Fock space and prove that it allows for implementing bosonic Bogoliubov transformations in a certain extended sense. While an implementation in the regular sense on Fock…
Sascha LillAug 6, 2022
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On the P\'olya conjecture for circular sectors and for balls
In 1954, G. Polya conjectured that the counting function N(,) of the eigenvalues of the Laplace operator of the Dirichlet (resp. Neumann) boundary value problem in a bounded set…
N. FilonovAug 6, 2022
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Commutators on Fock spaces
Given a weighted 2 space with weights associated to an entire function, we consider pairs of weighted shift operators, whose commutators are diagonal operators, when considered as operators…
Daniel Alpay, Paula Cerejeiras, Uwe Kaehler et al.Aug 5, 2022
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Higher Order Asymptotics of Decaying Solutions of some Generalized Burgers Equations
We study the large-time behavior of solutions to a generalized Burgers Equation, with initial zero mass data. Our main purpose is to present a modified version of the Renormalization Group map, which…
Gastão A. Braga, Frederico Furtado, Jussara M. Moreira et al.Aug 5, 2022
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Scattering theory with both regular and singular perturbations
We provide an asymptotic completeness criterion and a representation formula for the scattering matrix of the scattering couple (AB,A), where both A and AB are self-adjoint operator and AB…
Andrea Mantile, Andrea PosilicanoAug 5, 2022
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Spherical and planar ball bearings -- nonholonomic systems with invariant measures
We first construct nonholonomic systems of n homogeneous balls B1,…, Bn with centers O1,...,On and with the same radius r that are rolling without slipping around a…
Vladimir Dragovic, Borislav Gajic, Bozidar JovanovicAug 5, 2022
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On the hyperbolic Bloch transform
Motivated by recent theoretical and experimental developments in the physics of hyperbolic crystals, we study the noncommutative Bloch transform of Fuchsian groups that we call the hyperbolic Bloch…
Ákos Nagy, Steven RayanAug 4, 2022
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Noise Effects on Pade Approximants and Conformal Maps
We analyze the properties of Pade and conformal map approximants for functions with branch points, in the situation where the expansion coefficients are only known with finite precision or are…
Ovidiu Costin, Gerald V. Dunne, Max MeynigAug 4, 2022
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Decay of multi-point correlation functions in Zd
We prove multi-point correlation bounds in Zd for arbitrary d≥ 1 with symmetrized distances, answering open questions proposed by Sims-Warzel SW and Aza-Bru-Siqueira Pedra…
Rui Han, Fan YangAug 4, 2022
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Bulk-edge correspondence for unbounded Dirac-Landau operators
We consider two-dimensional unbounded magnetic Dirac operators, either defined on the whole plane, or with infinite mass boundary conditions on a half-plane. Our main results use techniques from…
Horia D. Cornean, Massimo Moscolari, Kasper S. SørensenAug 3, 2022
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The Casimir-Polder effect for an approximate Pauli-Fierz model: the atom plus wall case
We study a system composed of a hydrogen atom interacting with an infinite conductor wall. The interaction energy decays like L-3, where L is the distance between the atom and the wall, due to…
Marco OlivieriAug 3, 2022
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Algebraic Bethe ansatz for Q-operators of the open XXX Heisenberg chain with arbitrary spin
In this note we construct Q-operators for the spin s open Heisenberg XXX chain with diagonal boundaries in the framework of the quantum inverse scattering method. Following the algebraic Bethe ansatz…
Rouven Frassek, István M. SzécsényiAug 3, 2022
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Defects via Factorization Algebras
We provide a mathematical formulation of the idea of a defect for a field theory, in terms of the factorization algebra of observables and using the BV formalism. Our approach follows a well-known…
Ivan Contreras, Chris Elliott, Owen GwilliamAug 2, 2022
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