2253 papers
Mathematical physics sits at the fascinating intersection where abstract equations meet the fundamental laws of our universe. This field uses rigorous mathematical tools to model everything from the behavior of subatomic particles to the curvature of spacetime, turning complex theories into testable predictions. It is the language through which physicists describe reality, bridging the gap between pure mathematics and physical observation.
On Gist.Science, we process every new preprint published in this category on arXiv to make these dense studies accessible to everyone. Whether you are a specialist or a curious reader, you will find both plain-language overviews and detailed technical summaries for each paper. Below are the latest mathematical physics papers from arXiv, curated to help you explore the cutting edge of theoretical science.
This paper investigates a class of two-dimensional quantum Zernike Hamiltonians by uncovering a polynomial Higgs-type symmetry algebra that allows for the algebraic derivation of energy spectra for and proposes generalizations for all through the framework of higher-order superintegrable perturbations.
This paper investigates classical torus automorphisms (cat maps) through Koopman theory, providing analytical formulae for Koopman modes and analyzing their spectral properties across cyclic, quasi-cyclic, critical, and chaotic regimes.
This paper investigates the spectral properties of a one-dimensional quantum particle with a jump-discontinuous mass profile, revealing that scale-free boundary conditions lead to highly erratic eigenfunctions and an infinite variety of distinct semiclassical limits.
This paper investigates the large-time behavior of solutions to a generalized Burgers-Fisher-KPP equation, demonstrating that the convection term determines whether solutions with Heaviside initial conditions vanish or spread based on a critical coefficient .
This paper investigates three-dimensional partition functions derived from tetrahedral -operators, establishing connections between the case and tensor Schur polynomials (leading to new identities and applications in the multispecies TASEP) and the generic case and -deformed loop elementary symmetric functions.
This paper explores the application of algebraic geometry and monodromy theory to study the solutions of singular Liouville equations on a flat torus, specifically focusing on the construction of Lamé curves and the derivation of algebraic degree counting formulas for both odd and even singular source sums.
This paper proposes a minimal theoretical framework, presented as a logical "flow chart" Gedankenexperiment, to guide experimentalists in detecting or engineering permutation-group paraparticles by mapping their unique signatures onto a chirality test.
This paper improves upon previous polynomial bounds for joint eigenfunctions in quantum integrable systems by establishing a sharp pointwise bound of for points satisfying a rank non-degeneracy condition.
This paper presents a high-order, energy-stable Continuous Galerkin finite element framework using a Summation-By-Parts (SBP) formulation and the Simultaneous Approximation Term (SAT) technique to accurately and efficiently solve the incompressible Navier-Stokes equations, even in the presence of discontinuous boundary conditions.
This paper develops a variational framework based on a generalized Lagrange-d'Alembert principle to derive thermodynamically consistent stochastic field theories, ensuring local detailed balance and providing a unified geometric connection between phenomenological modeling and stochastic thermodynamics.