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Mathematical Physics papers — page 236

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Singular asymptotics for the Clarkson-McLeod solutions of the fourth Painlevé equation
We consider the Clarkson-McLeod solutions of the fourth Painlevé equation. This family of solutions behave like κDα-122(2x) as x→ +∞, where κ is an arbitrary…
Jun Xia, Shuai-Xia Xu, Yu-Qiu ZhaoApr 2, 2022
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Hamiltonian variational formulation for nonequilibrium thermodynamics of simple closed systems
In this paper, we develop a Hamiltonian variational formulation for the nonequilibrium thermodynamics of simple adiabatically closed systems that is an extension of Hamilton's phase space…
Hiroaki Yoshimura, François Gay-BalmazApr 2, 2022
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Scattering for Schr\"odinger operators with potentials concentrated near a subspace
We study the scattering properties of Schr\"odinger operators with bounded potentials concentrated near a subspace of Rd. For such operators, we show the existence of scattering states…
Adam Black, Tal MalinovitchApr 1, 2022
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Cherenkov radiation with massive bosons and quantum friction
This work is devoted to several translation-invariant models in non-relativistic quantum field theory (QFT), describing a non-relativistic quantum particle interacting with a quantized relativistic…
Mitia Duerinckx, Christopher ShirleyApr 1, 2022
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Approach to equilibrium in translation-invariant quantum systems: some structural results
We formulate the problem of approach to equilibrium in algebraic quantum statistical mechanics and study some of its structural aspects, focusing on the relation between the zeroth law of…
Vojkan Jakšić, Claude-Alain Pillet, Clément TauberApr 1, 2022
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Existence of Ground States in the Infrared-Critial Spin Boson Model
We review recent results on the existence of ground states for the infrared-critical spin boson model, which describes the interaction of a massless bosonic field with a two-state quantum system.…
Benjamin HinrichsApr 1, 2022
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A diagrammatic view of differential equations in physics
Presenting systems of differential equations in the form of diagrams has become common in certain parts of physics, especially electromagnetism and computational physics. In this work, we aim to put…
Evan Patterson, Andrew Baas, Timothy Hosgood et al.Apr 1, 2022
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Causal Lie products of free fields and the emergence of quantum field theory
All causal Lie products of solutions of the Klein-Gordon equation and the wave equation in Minkowski space are determined. The results shed light on the origin of the algebraic structures underlying…
Detlev Buchholz, Roberto Longo, Karl-Henning RehrenApr 1, 2022
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Self-adjoint extensions for a p4-corrected Hamiltonian of a particle on a finite interval
In the present paper we deal with the issue of finding the self-adjoint extensions of a p4-corrected Hamiltonian. The importance of this subject lies on the application of the concepts of quantum…
B. B. Dilem, J. C. Fabris, J. A. NogueiraApr 1, 2022
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The Tulczyjew triple for gauge field theories
In this article we construct and discuss a new rigorous geometric formalism for gauge field theories. The basis of our work is the notion of the Tulczyjew triple, a geometric structure which…
Marcin ZającApr 1, 2022
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Dynamics of mean-field bosons at positive temperature
We study the time evolution of an initially trapped weakly interacting Bose gas at positive temperature, after the trapping potential has been switched off. It has been recently shown in…
Marco Caporaletti, Andreas Deuchert, Benjamin SchleinMar 31, 2022
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Ground state energy of dilute Bose gases in 1D
We study the ground state energy of a gas of 1D bosons with density , interacting through a general, repulsive 2-body potential with scattering length a, in the dilute limit |a|1.…
Johannes Agerskov, Robin Reuvers, Jan Philip SolovejMar 31, 2022
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Estimating bulk and edge topological indices in finite open chiral chains
We develop a formalism to extend, simultaneously, the usual definition of bulk and edge indices from topological insulators to the case of a finite sample with open boundary conditions, and provide a…
Lucien Jezequel, Clément Tauber, Pierre DelplaceMar 31, 2022
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Quantum integrability: Lagrangian 1-form case
A new notion of integrability called the multi-dimensional consistency for the integrable systems with the Lagrangian 1-form structure is captured in the geometrical language for quantum level. A…
Thanadon Kongkoom, Sikarin Yoo-KongMar 31, 2022
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Exactly solvable anharmonic oscillator, degenerate orthogonal polynomials and Painleve' II
The paper addresses a conjecture of Shapiro and Tater on the similarity between two sets of points in the complex plane; on one side is the values of t∈ C for which the spectrum of the…
Marco Bertola, Eduardo Chavez-Heredia, Tamara GravaMar 31, 2022
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On Equivariant Gromov--Witten Invariants of Resolved Conifold with Diagonal and Anti-Diagonal Actions
We propose two conjectural relationships between the equivariant Gromov-Witten invariants of the resolved conifold under diagonal and anti-diagonal actions and the Gromov-Witten invariants of…
Si-Qi Liu, Di Yang, Youjin Zhang et al.Mar 31, 2022
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A Trace Formula on Stationary Kaluza-Klein Spacetimes
We prove relativistic versions of the ladder asymptotics from V. Guillemin and A. Uribe [Journal of Differential Geometry, 32(2):315-347, 1990] on principal bundles over globally hyperbolic,…
Anthony McCormickMar 31, 2022
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Generalised Onsager Algebra in Quantum Lattice Models
The Onsager algebra is one of the cornerstones of exactly solvable models in statistical mechanics. Starting from the generalised Clifford algebra, we demonstrate its relations to the graph…
Yuan MiaoMar 30, 2022
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Mixed state representability of entropy-density pairs
We show the representability of density-entropy pairs with canonical and grand-canonical states, and we provide bounds on the kinetic energy of the representing states.
Louis GarrigueMar 30, 2022
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Derivation of the Maxwell-Schrödinger Equations: A note on the infrared sector of the radiation field
We slightly extend prior results about the derivation of the Maxwell-Schrödinger equations from the bosonic Pauli-Fierz Hamiltonian. More concretely, we show that the findings from [SIAM J. Math.…
Marco Falconi, Nikolai LeopoldMar 30, 2022
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Quillen-type bundle and geometric prequantization on moduli space of the Seiberg-Witten equations on product of Riemann surfaces
We show the existence of a symplectic structure on the moduli space of the Seiberg-Witten equations on Σ× Σ where Σ is a compact oriented Riemann surface. To prequantize the moduli space, we…
Rukmini DeyMar 30, 2022
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Symmetric ordering and Weyl realizations for quantum Minkowski spaces
Symmetric ordering and Weyl realizations for non commutative quantum Minkowski spaces are reviewed. Weyl realizations of Lie deformed spaces and corresponding star products, as well as twist…
Stjepan Meljanac, Zoran Škoda, Sasa Kresic-JuricMar 28, 2022
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Spectral localization for semimetals and Callias operators
A semiclassical argument is used to show that the low-lying spectrum of a selfadjoint operator, the so-called spectral localizer, determines the number of Dirac or Weyl points of an ideal semimetal.…
Hermann Schulz-Baldes, Tom StoiberMar 28, 2022
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n-Lie conformal algebras and its associated infinite-dimensional n-Lie algebras
In this paper, we introduce a \λ1 n-1\-bracket and a distribution notion of an n-Lie conformal algebra. For any n-Lie conformal algebra R, there exists a series of associated…
Mengjun Wang, Lipeng Luo, Zhixiang WuMar 27, 2022
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Mathematical Elements of Density Functional Theory
We review some of the basic mathematical results about density functional theory.
Heinz SiedentopMar 26, 2022
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