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Mathematical Physics papers — page 217

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An external dual charge approach to the optimal transport with Coulomb cost
In this paper, we study the multimarginal optimal transport with Coulomb cost, also known in the physics literature as the Strictly-Correlated Electrons (SCE) functional. We prove that the dual…
Rodrigue LelotteAug 31, 2022
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A perspective on the Magic Square and the 'special unitary' realizations of simple Lie algebras
This article contains the last part of the mini-course `Spaces: a perspective view' delivered at the IFWGP2012. Here I deal with the part of the mini-course which centers on the classification…
Mariano SantanderAug 31, 2022
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Topological quantum field theories and homotopy cobordisms
We construct a category HomCob whose objects are homotopically 1-finitely generated topological spaces, and whose morphisms are cofibrant cospans. Given a manifold submanifold…
Fiona TorzewskaAug 30, 2022
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Interpolating between R\'enyi entanglement entropies for arbitrary bipartitions via operator geometric means
The asymptotic restriction problem for tensors can be reduced to finding all parameters that are normalized, monotone under restrictions, additive under direct sums and multiplicative under tensor…
Dávid Bugár, Péter VranaAug 30, 2022
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Global existence of classical static solutions of four dimensional Einstein-Klein-Gordon system
In this paper we prove the global existence of classical static solutions of Einstein gravitational theory coupled to a real scalar field where the spacetime admits spherically symmetry. The…
Mirda Prisma Wijayanto, Emir Syahreza Fadhilla, Fiki Taufik Akbar et al.Aug 30, 2022
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Spaces of states of the two-dimensional O(n) and Potts models
We determine the spaces of states of the two-dimensional O(n) and Q-state Potts models with generic parameters n,Q∈ C as representations of their known symmetry algebras. While the…
Jesper Lykke Jacobsen, Sylvain Ribault, Hubert SaleurAug 30, 2022
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Interference of non-Hermiticity with Hermiticity at exceptional points
A family of non-Hermitian but PT-symmetric 2J by 2J toy-model tridiagonal-matrix Hamiltonians H(2J)=H(2J)(t) with J=K+M=1,2,… and t<J2 is studied, for which a real but…
Miloslav ZnojilAug 30, 2022
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Feynman checkers: lattice quantum field theory with real time
We present a new completely elementary model that describes the creation, annihilation, and motion of non-interacting electrons and positrons along a line. It is a modification of the model known…
Mikhail Skopenkov, Alexey UstinovAug 30, 2022
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The Geometry of the solution space of first order Hamiltonian field theories II: non-Abelian gauge theories
We go on with the program started in the companion paper [CDI+] of defining a Poisson bracket structure on the space of solutions of the equations of motion of first order Hamiltonian field theories.…
Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort et al.Aug 30, 2022
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The Geometry of the solution space of first order Hamiltonian field theories I: from particle dynamics to free Electrodynamics
We analyse the problem of defining a Poisson bracket structure on the space of solutions of the equations of motions of first order Hamiltonian field theories. The cases of Hamiltonian mechanical…
Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort et al.Aug 30, 2022
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Nearest-neighbour correlation functions for the supersymmetric XYZ spin chain and Painlev\'e VI
We study nearest-neighbour correlation functions for the ground state of the supersymmetric XYZ spin chain with odd length and periodic boundary conditions. Under a technical assumption related to…
Christian Hagendorf, Hjalmar RosengrenAug 29, 2022
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Remarks on mathematical structure of the Staruszkiewicz theory
The purpose of this note is threefold: (i) to recall (with some points made more explicit) the mathematical Weyl algebra model formulation, given before, of the Staruszkiewicz theory of quantum…
Andrzej HerdegenAug 29, 2022
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Power law dependence in a random differential equation
This paper studies a random differential equation with random switch perturbations. We explore how the maximum displacement from the equilibrium state depends on the statistical properties of time…
Qiuxin Lv, Wei Ma, Jinzhi LeiAug 29, 2022
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Quantum tunneling in deep potential wells and strong magnetic field revisited
Inspired by a recent paper* by C. Fefferman, J. Shapiro and M. Weinstein, we investigate quantum tunneling for a Hamiltonian with a symmetric double well and a uniform magnetic field. In the…
B. Helffer, A. KachmarAug 27, 2022
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Two-dimensional Dirac operators with general δ-shell interactions supported on a straight line
In this paper the two-dimensional Dirac operator with a general hermitian δ-shell interaction supported on a straight line is introduced as a self-adjoint operator and its spectral properties…
Jussi Behrndt, Markus Holzmann, Matěj TušekAug 26, 2022
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Separation of Variables and Superintegrability on Riemannian Coverings
We introduce St\"ackel separable coordinates on the covering manifolds Mk, where k is a rational parameter, of certain constant-curvature Riemannian manifolds with the structure of warped…
Claudia Maria Chanu, Giovanni RastelliAug 26, 2022
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Quantum ergodicity for periodic graphs
We prove quantum ergodicity for a family of periodic Schr\"odinger operators H on periodic graphs. This means that most eigenfunctions of H on large finite periodic graphs are equidistributed in…
Theo Mckenzie, Mostafa SabriAug 26, 2022
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Edge Behavior of Higher Complex-Dimensional Determinantal Point Processes
As recently proved in generality by Hedenmalm and Wennman, it is a universal behavior of complex random normal matrix models that one finds a complementary error function behavior at the boundary…
L. D. MolagAug 26, 2022
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The Berezin-Simon quantization for K\"ahler manifolds and their path integral representations
The Berezin--Simon (BS) quantization is a rigorous version of the ``operator formalism'' of quantization procedure. The goal of the paper is to present a rigorous real-time (not imaginary-time)…
Hideyasu YamashitaAug 26, 2022
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On adiabatic theory for extended fermionic lattice systems
We review recent results on adiabatic theory for ground states of extended gapped fermionic lattice systems under several different assumptions. More precisely, we present generalized super-adiabatic…
Joscha Henheik, Tom WesselAug 25, 2022
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Kepler problem and chiral effective dynamics
It is shown that by an appropriate canonical transformation Kepler dynamics can be put in the form which allows to exhibit the structure of the symmetry transformations related to the…
Katarzyna Bolonek-Lason, Joanna Gonera, Piotr KosinskiAug 24, 2022
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A note on gluing via fiber products in the (classical) BV-BFV formalism
In classical field theory, gluing spacetime manifolds along boundary corresponds to taking a fiber product of the corresponding spaces of fields (as differential graded Fr\'echet manifolds) up to…
Alberto S. Cattaneo, Pavel MnevAug 23, 2022
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Momentum mapping and reduction in contact Hamiltonian systems
Due to the emergence of symplectic geometry, the geometric treatment of mechanics underwent a great development during the last century. In this scenario the pressence of symmetries in Hamiltonian…
Juan Manso García-MauriñoAug 23, 2022
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Particle-hole transformation in the continuum and determinantal point processes
Let X be an underlying space with a reference measure σ. Let K be an integral operator in L2(X,σ) with integral kernel K(x,y). A point process μ on X is called…
Maryam Gharamah Ali Alshehri, Eugene LytvynovAug 23, 2022
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Normalized Field Product method for Topology Optimization
The paper presents a novel, parameter free, density evaluation method for topology optimization based on normalized product of a scalar field. The approach imposes length scale on solid phase…
Nikhil Singh, Anupam SaxenaAug 23, 2022
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