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Mathematical Physics papers — page 161

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Parametric factorization of non linear second order differential equations
In this paper the factorization method introduced by Rosu \& Cornejo-P\'erez for second order non linear differential equations is generalized by adding a parameter in order to obtain the general…
Gabriel Gonzalez ContrerasOct 30, 2023
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Classically forbidden regions in the chiral model of twisted bilayer graphene. With an appendix by Zhongkai Tao and Maciej Zworski
We establish exponential decay, as the angle of twisting goes to 0, of eigenstates in a model of twisted bilayer graphene (TBG), near the hexagon connecting stacking points. That is done by…
Michael Hitrik, Zhongkai Tao, Maciej ZworskiOct 29, 2023
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On a class of algebro-geometric solutions to the Ernst equation
We discuss a class of solutions to the Ernst equation in terms of theta functions with characteristics. We show that it is necessary to take into account a phase factor, which arises from a shift by…
Eddy B. de LeonOct 29, 2023
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Modeling Shortest Paths in Polymeric Networks using Spatial Branching Processes
Recent studies have established a connection between the macroscopic mechanical response of polymeric materials and the statistics of the shortest path (SP) length between distant nodes in the…
Zhenyuan Zhang, Shaswat Mohanty, Jose Blanchet et al.Oct 28, 2023
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Comments on "Numerical study of the SWKB condition of novel classes of exactly solvable systems''
We comment on the paper ``Numerical study of the SWKB condition of novel classes of exactly solvable systems'' [Y. Nasuda and N. Sawado, Mod. Phys. Lett. A 36, 2150025 (2021)]. We show that it…
Jonathan Bougie, Asim Gangopadhyaya, Constantin RasinariuOct 27, 2023
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Compactified Imaginary Liouville Theory
On a given Riemann surface, we construct a path integral based on the Liouville action functional with imaginary parameters. The construction relies on the compactified Gaussian Free Field (GFF),…
Colin Guillarmou, Antti Kupiainen, Rémi RhodesOct 27, 2023
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de Sitter Relativity Group
Building upon the comprehensive framework outlined in the author's recent collaborative book, this manuscript delivers a brief overview of the 1+4-dimensional de Sitter (dS4) group, its…
Hamed PejhanOct 27, 2023
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Classical Density Functional Theory: The Local Density Approximation
We prove that the lowest free energy of a classical interacting system at temperature T with a prescribed density profile (x) can be approximated by the local free energy $∫…
Michal Jex, Mathieu Lewin, Peter MadsenOct 27, 2023
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On the bifurcation of a Dirac point in a photonic waveguide without band gap openning
Recent progress in topological insulators and topological phases of matter has motivated new methods for the localization of waves in photonic structures. Especially, it is established that a Dirac…
Jiayu Qiu, Hai ZhangOct 27, 2023
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Contact topology and electromagnetism: The Weinstein conjecture and Beltrami-Maxwell fields
We draw connections between contact topology and Maxwell fields in vacuo on 3-dimensional closed Riemannian submanifolds in 4-dimensional Lorentzian manifolds. This is accomplished by showing that…
Shin-itiro GotoOct 27, 2023
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On Lieb-Robinson bounds for a class of continuum fermions
We consider the quantum dynamics of a many-fermion system in Rd with an ultraviolet regularized pair interaction as previously studied in [M. Gebert, B. Nachtergaele, J. Reschke, and R.…
Benjamin Hinrichs, Marius Lemm, Oliver SiebertOct 26, 2023
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The six blinds and the elephant or an interdisciplinary selection of measurement features
We propose here selected actual features of measurement problems based on our concerns in our respective fields of research. Their technical similarity in apparently disconnected fields motivate this…
Ask Ellingsen, Douglas Lundholm, Jean-Pierre MagnotOct 26, 2023
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Quantum Systems with Hidden Symmetry. Interbasis Expansions
This monograph is the English version of the book "Quantum systems with hidden symmetry. Interbasis expansions" published in 2006 by the publishing house FIZMATLIT (Moscow) in Russian. When compiling…
L. G. Mardoyan, G. S. Pogosyan, A. N. Sissakian et al.Oct 26, 2023
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Representation theory of sl(2,R) su(1,1) and a generalization of non-commutative harmonic oscillators
The non-commutative harmonic oscillator (NCHO) was introduced as a specific Hamiltonian operator on L2(R)2 by Parmeggiani and Wakayama. Then it was proved by Ochiai and…
Ryosuke NakahamaOct 26, 2023
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Invariant Physics-Informed Neural Networks for Ordinary Differential Equations
Physics-informed neural networks have emerged as a prominent new method for solving differential equations. While conceptually straightforward, they often suffer training difficulties that lead to…
Shivam Arora, Alex Bihlo, Francis ValiquetteOct 25, 2023
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Action Principle for Scale Invariance and Applications (Part I)
On the basis of a general action principle, we revisit the scale invariant field equation using the co-tensor relations by Dirac (1973). This action principle also leads to an expression for the…
Andre Maeder, Vesselin G. GueorguievOct 25, 2023
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Mean field theory for a general class of short-range interaction functionals
In models of N interacting particles in d as in Density Functional Theory or crowd motion, the repulsive cost is usually described by a two-point function $c(x,y)…
Guy Bouchitté, Rajesh MahadevanOct 25, 2023
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Linear statistics for Coulomb gases: higher order cumulants
We consider N classical particles interacting via the Coulomb potential in spatial dimension d and in the presence of an external trap, at equilibrium at inverse temperature β. In the large…
Benjamin De Bruyne, Pierre Le Doussal, Satya N. Majumdar et al.Oct 25, 2023
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Nambu-Goldstone modes in a lattice Nambu-Jona-Lasinio model with multi flavor symmetries
We study a lattice Nambu-Jona-Lasinio model with SU(2) and SU(3) flavor symmetries of staggered fermions in the Kogut-Susskind Hamiltonian formalism. This type of four-fermion interactions has been…
Yukimi Goto, Tohru KomaOct 24, 2023
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Uniform bound of the entanglement for the ground state of the one-dimensional quantum Ising model with non-homogeneous transverse field
We consider the ground state of the one-dimensional quantum Ising model with transverse field hx in one dimension depending on the site x ∈ Z in a finite volume…
Massimo CampaninoOct 24, 2023
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A new set of Gibbs measures for the SOS model on a Cayley tree
The phase transition phenomenon is one of the central problems of statistical mechanics. It occurs when the model possesses multiple Gibbs measures. In this paper, we consider a three-state SOS…
Muzaffar M. Rahmatullaev, Bunyod U. AbraevOct 24, 2023
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A subspace-adaptive weights cubature method with application to the local hyperreduction of parameterized finite element models
This paper is concerned with quadrature/cubature rules able to deal with multiple subspaces of functions, in such a way that the integration points are common for all the subspaces, yet the weights…
J. R. Bravo, J. A. Hernández, S. Ares de Parga et al.Oct 24, 2023
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Determinantal structure of the conditional expectation of the overlaps for the induced Ginibre unitary ensemble
As is widely known, a non-Hermitian matrix exhibits distinct left and right eigenvectors, which form a bi-orthogonal system. Chalker and Mehling initiated the study of the joint statistics of the…
Kohei NodaOct 23, 2023
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Dynamics of mean-field Fermi systems with nonzero pairing
We study the dynamics of many-body Fermi systems, for a class of initial data which are close to quasi-free states exhibiting a nonvanishing pairing matrix. We focus on the mean-field scaling, which…
Stefano Marcantoni, Marcello Porta, Julien SabinOct 23, 2023
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Relative Equilibria of Mechanical Systems with Rotational Symmetry
We consider the task of classifying relative equilibria for mechanical systems with rotational symmetry. We divide relative equilibria into two natural groups: a generic class which we call normal,…
Philip ArathoonOct 23, 2023
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