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Mathematical Physics papers — page 182

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On the Structure of Set-Theoretic Polygon Equations
Polygon equations generalize the prominent pentagon equation in very much the same way as simplex equations generalize the famous Yang-Baxter equation. In particular, they appeared as ''cocycle…
Folkert Müller-HoissenMay 29, 2023
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Anderson Localization for Schr\"odinger Operators with Monotone Potentials over Circle Homeomorphisms
In this paper, we prove pure point spectrum for a large class of Schr\"odinger operators over circle maps with conditions on the rotation number going beyond the Diophantine. More specifically, we…
Jiranan Kerdboon, Xiaowen ZhuMay 28, 2023
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Homogeneous and heterogeneous nucleation in the three--state Blume--Capel model
The metastable behavior of the stochastic Blume--Capel model with Glauber dynamics is studied when zero-boundary conditions are considered. The presence of zero-boundary conditions changes…
Emilio N. M. Cirillo, Vanessa Jacquier, Cristian SpitoniMay 26, 2023
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Coagulation equations with source leading to anomalous self-similarity
We study the long-time behaviour of the solutions to Smoluchowski coagulation equations with a source term of small clusters. The source drives the system out-of-equilibrium, leading to a rich range…
Marina A. Ferreira, Eugenia Franco, Jani Lukkarinen et al.May 26, 2023
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Spectral convergence in large finite resonator arrays: the essential spectrum and band structure
We show that resonant frequencies of a system of coupled resonators in a truncated periodic lattice converge to the essential spectrum of corresponding infinite lattice. We use the capacitance matrix…
Habib Ammari, Bryn Davies, Erik Orvehed HiltunenMay 26, 2023
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Some mathematical insights on Density Matrix Embedding Theory
This article provides the first mathematical analysis of the Density Matrix Embedding Theory (DMET) method. We prove that, under certain assumptions, (i) the exact ground-state density matrix is a…
Eric Cancès, Fabian M. Faulstich, Alfred Kirsch et al.May 25, 2023
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The Steady States of Antitone Electric Systems
The steady states of an antitone electric system are described by an antitone function with respect to the componentwise order. When this function is bounded from below by a positive vector, it has…
Dan ComănescuMay 25, 2023
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On the solution of the Kolmogorov-Feller equation arising in the model of biological evolution
The Kolmogorov-Feller equation for the probability density of a Markov process on a half-axis, which arises in important problems of biology, is considered. This process consists of random jumps…
Olga S. RozanovaMay 25, 2023
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Generalized AKS scheme of integrability via vertex algebra
In this paper, we define and study the classical R-matrix for vertex Lie algebra, based on which we propose to construct a new vertex Lie algebra. We give a systematic way to construct the…
Wenda FangMay 25, 2023
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Integrable Ito equations and properties of the associated Fokker-Planck equations
In a recent paper we have classified scalar Ito equations which admits a standard symmetry; these are also directly integrable by the Kozlov substitution. In the present work, we consider the…
Giuseppe Gaeta, Miguel Angel RodriguezMay 25, 2023
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Metrics and geodesics on fuzzy spaces
We study the fuzzy spaces (as special examples of noncommutative manifolds) with their quasicoherent states in order to find their pertinent metrics. We show that they are naturally endowed with two…
David ViennotMay 24, 2023
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Revisiting the computation of the critical points of the Keplerian distance
We consider the Keplerian distance d in the case of two elliptic orbits, i.e. the distance between one point on the first ellipse and one point on the second one, assuming they have a common focus.…
Giovanni F. Gronchi, Giulio Baù, Clara GrassiMay 23, 2023
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Effective quantum electrodynamics: One-dimensional model of the relativistic hydrogen-like atom
We consider a one-dimensional effective quantum electrodynamics (QED) model of the relativistic hydrogen-like atom using delta-potential interactions. We discuss the general exact theory and the…
Timothée Audinet, Julien ToulouseMay 23, 2023
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Existence of optimal domains for the helicity maximisation problem among domains satisfying a uniform ball condition
In the present work we present a general framework which guarantees the existence of optimal domains for isoperimetric problems within the class of C1,1-regular domains satisfying a uniform ball…
Wadim GernerMay 23, 2023
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A matrix model of a non-Hermitian β-ensemble
We introduce the first random matrix model of a complex β-ensemble. The matrices are tridiagonal and can be thought of as the non-Hermitian analogue of the Hermite β-ensembles discovered…
Francesco Mezzadri, Henry TaylorMay 22, 2023
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Macroscopic diffusive fluctuations for generalized hard rods dynamics
We study the fluctuations in equilibrium for a dynamics of rods with random length. This includes the classical hard rod elastic collisions, when rod lengths are constant and equal to a positive…
Pablo A. Ferrari, Stefano OllaMay 22, 2023
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Algebraic quantum field theory: objectives, methods, and results
Algebraic quantum field theory is a general mathematical framework for relativistic quantum physics, based on the theory of operator algebras. It comprises all observable and operational aspects of a…
Detlev Buchholz, Klaus FredenhagenMay 22, 2023
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Can Cencov meet Petz?
We discuss how to exploit the recent formulation of classical and quantum information geometry in terms of normal states on W*-algebras to formulate a problem that unifies Cencov's theorem and…
Florio M. Ciaglia, Fabio Di Cosmo, Laura González-BravoMay 21, 2023
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Some remarks on the notion of transitions
In this paper some reflections on the concept of transition are presented: groupoids are introduced as models for the construction of a ``generalized logic'' whose basic statements involve pairs of…
Florio M. Ciaglia aand Fabio Di CosmoMay 21, 2023
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Polynomial Hamiltonians for quantum Garnier systems in two variables
We construct and characterize quantum Garnier systems in two variables including degenerate cases by certain holomorphic properties under the quantum canonical transformations.
Yuichi UenoMay 20, 2023
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Decay of correlations in stochastic quantization: the exponential Euclidean field in two dimensions
We present two approaches to establish the exponential decay of correlation functions of Euclidean quantum field theories (EQFTs) via stochastic quantization (SQ). In particular we consider the…
Massimiliano Gubinelli, Martina Hofmanová, Nimit RanaMay 19, 2023
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Arrow of time and quantum physics
Based on the hypothesis that the (non-reversible) arrow of time is intrinsic in any system, no matter how small, the consequences are discussed. Within the framework of local quantum physics it is…
Detlev Buchholz, Klaus FredenhagenMay 19, 2023
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Quadratic Hamiltonians in Fermionic Fock Spaces
Quadratic Hamiltonians are important in quantum field theory and quantum statistical mechanics. Their general studies, which go back to the sixties, are relatively incomplete for the fermionic case…
Jean-Bernard Bru, Nathan MetraudMay 19, 2023
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Spacetime geometry of acoustics and electromagnetism
Both acoustics and electromagnetism represent measurable fields in terms of dynamical potential fields. Electromagnetic force-fields form a spacetime bivector that is represented by a dynamical…
Lucas Burns, Tatsuya Daniel, Stephon Alexander et al.May 19, 2023
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Contact mappings of differential equations
In this paper we consider mappings of jet spaces that preserve the module of canonical Pfaffian forms, but are not generally invertible. These mappings are called contact. A lemma on the prolongation…
Kaptsov OlegMay 19, 2023
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