Unitary ensembles with a critical edge point, their multiplicative statistics and the Korteweg-de-Vries hierarchyWe study the multiplicative statistics associated to the limiting determinantal point process describing unitary random matrices with a critical edge point, where limiting density vanishes like a…Mattia Cafasso, Carla Mariana da Silva Pinheiro·Apr 29, 2025SaveLearn
From Klein-Gordon-Wave to Schr\"odinger-Wave: a Normal Form ApproachWe consider a Klein-Gordon-Wave system, describing the evolution of a massive field and a massless one interacting through a Yukawa-like coupling, and we explicitly derive its Hamiltonian normal form…Gaia Marangon, Antonio Ponno, Lorenzo Zanelli·Apr 29, 2025SaveLearn
An improved bound for the ground state of a Schr\"odinger operator on a loopConsider a closed curve of length 2π with curvature (s) and the Schr\"odinger operator H with 2 as the potential term. Let λ be the lowest eigenvalue of H. The…Helmut Linde·Apr 28, 2025SaveLearn
SUSY hierarchies of Jaynes-Cummings Hamiltonians with different detuning parametersThe aim of this work is to show how supersymmetric (SUSY) quantum mechanics can be applied to the Jaynes-Cummings (JC) Hamiltonian of quantum optics. These SUSY transformations connect pairs of…İsmail Burak Ateş, Şengül Kuru, Javier Negro·Apr 28, 2025SaveLearn
Bethe roots for periodic TASEP and algebraic curveWe present an algebraic method for solving the Bethe ansatz equations for the periodic totally asymmetric exclusion process (TASEP) with an arbitrary number of sites and particles. The Bethe ansatz…Shinsuke Iwao, Kohei Motegi·Apr 28, 2025SaveLearn
On Unitary Groups in Ternary and Generalized Clifford AlgebrasWe discuss a generalization of Clifford algebras known as generalized Clifford algebras (in particular, ternary Clifford algebras). In these objects, we have a fixed higher-degree form (in…D. S. Shirokov·Apr 28, 2025SaveLearn
Geometric calculations on probability manifolds from reciprocal relations in Master equationsOnsager reciprocal relations model physical irreversible processes from complex systems. Recently, it has been shown that Onsager principles for master equations on finite states introduce a class of…Wuchen Li·Apr 27, 2025SaveLearn
Causal Fermion Systems: Spacetime as the web of correlations of a many-body quantum systemIn this paper, we argue that spacetime in causal fermion systems can be understood as the web of correlations of a many-body quantum system.This argument highlights the fact that causal fermion…Patrick Fischer, Claudio F. Paganini·Apr 27, 2025SaveLearn
Cauchy-Jacobi orthogonal polynomials and the discrete CKP equationThis paper intends to construct discrete spectral transformations for Cauchy-Jacobi orthogonal polynomials, and find its corresponding discrete integrable systems. It turns out that the normalization…Shi-Hao Li, Satoshi Tsujimoto, Ryoto Watanabe et al.·Apr 26, 2025SaveLearn
Dirac structures in nonholonomic mechanicsThe concept of a Dirac algebroid, which is a linear almost Dirac structure on a vector bundle, was designed to generate phase equations for mechanical systems with linear nonholonomic constraints. We…Katarzyna Grabowska, Michalina Borczyńska, Joanna Majsak et al.·Apr 26, 2025SaveLearn
Equations of motion for dynamical systems with angular momentum on Finsler geometriesThis article aims to derive equations of motion for dynamical systems with angular momentum on Finsler geometries. To this end, we apply Souriau's Principle of General Covariance, which is a…Loïc Marsot, Yuzhang Liu·Apr 25, 2025SaveLearn
On the Excess Charge Problem of AtomsThis paper establishes new bounds on the maximum number of electrons Nc(Z) that an atom with nuclear charge Z can bind. Specifically, we show that equation* Nc(Z) < 1.1185Z +…Dirk Hundertmark, Nikolaos Pattakos, Marvin Raimund Schulz·Apr 25, 2025SaveLearn
Large time cumulants of the KPZ equation on an intervalWe consider the Kardar-Parisi-Zhang equation on the interval [0,L] with Neumann type boundary conditions and boundary parameters u,v. We show that the k-th order cumulant of the height behaves…Guillaume Barraquand, Pierre Le Doussal·Apr 25, 2025SaveLearn
A Canonical Construction of the Extended Hilbert Space for Causal Fermion SystemsIt is shown that second variations of the causal action can be decomposed into a sum of three terms, two of which being positive and one being small. This gives rise to an approximate decoupling of…Felix Finster, Patrick Fischer·Apr 25, 2025SaveLearn
Bootstrapping the R-matrixA bootstrap program is presented for algebraically solving the R-matrix of a generic integrable quantum spin chain from its Hamiltonian. The Yang-Baxter equation contains an infinite number of…Zhao Zhang·Apr 24, 2025SaveLearn
One-dimensional q-state modified Potts model and its thermodynamic functionsSince its introduction, the Potts model has gained widespread popularity across various fields due to its diverse applications. Even minor advancements in this model continue to captivate scientists…Hasan Akin·Apr 24, 2025SaveLearn
Microscopic derivation of the stationary Chern-Simons-Schr\"odinger equation for almost-bosonic anyonsIn this work we consider the N-body Hamiltonian describing the microscopic structure of a quantum gas of almost-bosonic anyons. This description includes both extended magnetic flux and…Alireza Ataei, Douglas Lundholm, Théotime Girardot·Apr 24, 2025SaveLearn
Baryogenesis in Conformally Flat SpacetimesBased on a baryogenesis mechanism originating from the theory of causal fermion systems, we analyze its main geometric and analytic features in conformally flat spacetimes. An explicit formula is…Felix Finster, Marco van den Beld-Serrano·Apr 24, 2025SaveLearn
The KP equation of plane elastodynamicsThe propagation of nonlinear and dispersive waves in various materials can be described by the well-known Kadomtsev-Petviashvili (KP) equation, which is a (2+1)-dimensional partial differential…Harold Berjamin, Michel Destrade, Giuseppe Saccomandi·Apr 24, 2025SaveLearn
Defects in unidimensional structuresIn a previous work of the first authors, a non-holonomic model, generalising the micromorphic models and allowing for curvature (disclinations) to arise from the kinematic values, was presented. In…Mewen Crespo, Guy Casale, Loïc Le Marrec et al.·Apr 24, 2025SaveLearn
The qVolume lozenge tiling model via non-Hermitian orthogonal polynomialsWe consider the qVolume lozenge tiling model on a large, finite hexagon. It is well-known that random lozenge tilings of the hexagon correspond to a two-dimensional determinantal point…Ahmad Barhoumi, Maurice Duits·Apr 23, 2025SaveLearn
Spinning top in quadratic potential and matrix dressing chainWe show that the equations of motion of the rigid body about centre of mass in the Newtonian field with a quadratic potential are special reductions of period-one closure of the Darboux dressing…V. E. Adler, A. P. Veselov·Apr 23, 2025SaveLearn
Complex tridiagonal quantum Hamiltonians and matrix continued fractionsQuantum resonances described by non-Hermitian tridiagonal-matrix Hamiltonians H with complex energy eigenvalues are considered. The method of evaluation of quantities σn known as the…Miloslav Znojil·Apr 23, 2025SaveLearn
On the four-body limacon choreography: maximal superintegrability and choreographic fragmentationIn this paper, as a continuation of [Fernandez-Guasti, Celest Mech Dyn Astron 137, 4 (2025)], we demonstrate the maximal superintegrability of the reduced Hamiltonian, which governs the…Adrian M Escobar-Ruiz, Manuel Fernandez-Guasti·Apr 23, 2025SaveLearn
On Gromov--Witten invariants of P1-orbifolds and topological difference equationsLet (m1, m2) be a pair of positive integers. Denote by P1 the complex projective line, and by P1m1,m2 the orbifold complex projective line obtained from…Zhengfei Huang, Di Yang·Apr 23, 2025SaveLearn