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Mathematical Physics papers — page 238

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Mirror symmetry of height-periodic gradient Gibbs measures of a SOS model on Cayley trees
For the solid-on-solid (SOS) model with spin values from the set of all integers on a Cayley tree we give gradient Gibbs measures (GGMs). Such a measure corresponds to a boundary law (which is an…
U. A. RozikovMar 22, 2022
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Linear superposition in the general heavenly equation
Evidently, the linear superposition principle can not be exactly established as a general principle in the presence of nonlinearity, and, at the first glance, there is no expectation for it to hold…
S. Y. Lou, Xiazhi HaoMar 22, 2022
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Effective Dynamics of Interacting Fermions from Semiclassical Theory to the Random Phase Approximation
I review results concerning the derivation of effective equations for the dynamics of interacting Fermi gases in a high-density regime of mean-field type. Three levels of effective theories,…
Niels BenedikterMar 21, 2022
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Cutting rules and positivity in finite temperature many-body theory
For a given diagrammatic approximation in many-body perturbation theory it is not guaranteed that positive observables, such as the density or the spectral function, retain their positivity. For…
Markku J. Hyrkäs, Daniel Karlsson, Robert van LeeuwenMar 21, 2022
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Bose gases in the Gross-Pitaevskii limit: a survey of some rigorous results
We review some mathematical work on the Bose gas in the Gross-Pitaevskii regime. We start with the classical results by Lieb, Seiringer and Yngvason on the ground state energy and by Lieb and…
Benjamin SchleinMar 21, 2022
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F-algebroids and deformation quantization via pre-Lie algebroids
In this paper, first we introduce a new approach to the notion of F-algebroids, which is a generalization of F-manifold algebras and F-manifolds, and show that F-algebroids are the…
John Alexander Cruz Morales, Jiefeng Liu, Yunhe ShengMar 21, 2022
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Unitary vertex algebras and Wightman conformal field theories
We prove an equivalence between the following notions: (i) unitary Möbius vertex algebras, and (ii) Wightman conformal field theories on the circle (with finite-dimensional conformal weight spaces)…
Christopher Raymond, Yoh Tanimoto, James E. TenerMar 21, 2022
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Topological Expansion of Oscillatory BGW and HCIZ Integrals at Strong Coupling
We prove that the BGW and HCIZ integrals admit large N topological expansions for complex coupling and complex external fields, provided the coupling is sufficiently strong. The expansion…
Jonathan NovakMar 21, 2022
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Hankel Determinant and Orthogonal Polynomials for a Perturbed Gaussian Weight: from Finite n to Large n Asymptotics
We study the monic polynomials orthogonal with respect to a symmetric perturbed Gaussian weight w(x;t):=e-x2(1+t\: x2)λ, x∈ R, where $t>…
Chao Min, Yang ChenMar 20, 2022
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Inverse scattering transform of the general coupled Hirota system with nonzero boundary conditions
The initial value problem for the general coupled Hirota system with nonzero boundary conditions at infinity is solved by reporting a rigorous theory of the inverse scattering transform. With the…
Xiu-Bin Wang, Shou-Fu TianMar 18, 2022
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Einstein field equation, recursion operators, Noether and master symmetries in conformable Poisson manifolds
We show that a Minkowski phase space endowed with a bracket relatively to a conformable differential realizes a Poisson algebra, confering a bi-Hamiltonian structure to the resulting manifold. We…
Mahouton Norbert Hounkonnou, Mahougnon Justin Landalidji, Melanija MitrovicMar 18, 2022
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Time evolution of superoscillations for the Schrödinger equation in R\0\
In the context of quantum mechanics superoscillations, or the more general supershifts, appear as initial conditions of the time dependent Schrödinger equation. Already in ABCS212 a unified…
Peter SchlosserMar 18, 2022
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Localized eigenvectors on metric graphs
Using our previously published algorithm, we analyze the eigenvectors of the generalized Laplacian for two metric graphs occurring in practical applications. As expected, localization of an…
H. Kravitz, M. Brio, J. -G. CaputoMar 17, 2022
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Asymptotic measurement schemes for every observable of a quantum field theory
In quantum measurement theory, a measurement scheme describes how an observable of a given system can be measured indirectly using a probe. The measurement scheme involves the specification of a…
Christopher J. Fewster, Ian Jubb, Maximilian H. RuepMar 17, 2022
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Field Calculus: Quantum and Statistical Field Theory without the Feynman Diagrams
For a given base space M (spacetime), we consider the Guichardet space over the Guichardet space over M. Here we develop a ''field calculus'' based on the Guichardet integral.…
John E. GoughMar 17, 2022
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Nineteen vortex equations and integrability
The class of five integrable vortex equations discussed recently by Manton is extended so it includes the relativistic BPS Chern-Simons vortices, yielding a total of nineteen vortex equations. Not…
Sven Bjarke GudnasonMar 17, 2022
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A Rellich type theorem for the generalized oscillator
For the generalized oscillator, we prove a Rellich type theorem, or characterize the order of growth of eigenfunctions. The proofs are given by an extensive use of commutator arguments invented…
Tomoya TagawaMar 17, 2022
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Local Hard-Sphere Poisson-Nernst-Planck Models for Ionic Channels with Permanent Charges
The main goal of this work is to examine the qualitative effect of ion sizes via a steady-state boundary value problem. We study a one-dimensional version of a Poisson-Nernst-Planck system with a…
Weishi Liu, Hamid MofidiMar 17, 2022
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Enhancement of the Zakharov-Glassey's method for Blow-Up in nonlinear Schroedinger equations
In this paper we give a sharper condition for the blow-up of the solution to a nonlinear Schroedinger equation with free/Stark/quadratic potential by improving the well known Zakharov-Glassey's…
Andrea SacchettiMar 16, 2022
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A Holonomic Rattleback
The rattleback or celt top is a rigid body with the peculiar behaviour of having a spontaneous spin reversion during its motion and this effect is usually attributed purely to its nonholonomic…
J. M. BurgosMar 16, 2022
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Periodic traveling waves in a taut cable on a bilinear elastic substrate
The wave propagation problem on a taut cable resting on a bilinear substrate is investigated, without and with a distribute transversal load. The piecewise nature of the problem offers a sufficiently…
Lucio Demeio, Stefano LenciMar 16, 2022
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Elastodynamical resonances and cloaking of negative material structures beyond quasistatic approximation
Given the flexibility of choosing negative elastic parameters, we construct material structures that can induce two resonance phenomena, referred to as the elastodynamical resonances. They mimic the…
Hongjie Li, Hongyu Liu, Jun ZouMar 16, 2022
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Conformal Covariance of Connection Probabilities and Fields in 2D Critical Percolation
Fitting percolation into the conformal field theory framework requires showing that connection probabilities have a conformally invariant scaling limit. For critical site percolation on the…
Federico CamiaMar 15, 2022
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Entropy-Maximising Diffusions Satisfy a Parallel Transport Law
We show that the principle of maximum entropy, a variational method appearing in statistical inference, statistical physics, and the analysis of stochastic dynamical systems, admits a geometric…
Dalton A R SakthivadivelMar 15, 2022
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From charge to spin: analogies and differences in quantum transport coefficients
We review some recent results from the mathematical theory of transport of charge and spin in gapped crystalline quantum systems. The emphasis will be in transport coefficients like conductivities…
Giovanna Marcelli, Domenico MonacoMar 15, 2022
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