2548 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 develops an extension theory for the fully fractional Schrödinger operator with memory, constructing a local boundary value problem in an additional spatial variable to establish a well-posedness framework for nonlinear Schrödinger equations driven by prescribed past histories.
This paper introduces the concept of superintegrability for Hamiltonian systems on stratified symplectic spaces and demonstrates that spin Calogero-Moser-Sutherland systems for , defined on such spaces via Hamiltonian reduction, satisfy this property.
This paper derives exact bound-state wavefunctions and energy constraints for a spin-1/2 fermion in 3+1 dimensions subject to a generalized harmonic oscillator with simultaneous scalar, vector, and tensor couplings, demonstrating how specific parameter tuning yields solutions in terms of generalized Laguerre polynomials that encompass various previously studied spherically symmetric cases.
This paper establishes a novel identity linking the spatial derivative of the two-point free-energy correlation in O'Connell–Yor polymers to the annealed meeting probability of independent polymers and their exit-point location, utilizing intrinsic symmetries and the memoryless property to overcome the lack of a direct Itô calculus analogue in the semi-discrete setting.
This paper presents a novel, technology-ready mission concept for rendezvousing with Halley's Comet in 2061 by combining double gravity-assists from Jupiter and Saturn with deep-space low-thrust propulsion to minimize launch energy and propellant costs while enabling a long-duration scientific encounter.
This paper investigates heat transfer in a dense gas between parallel plates using the Enskog equation with a modified Enskog factor that satisfies the H-theorem, finding that while the modification has a limited impact on density, temperature, and heat flow, it produces noticeable differences in the stress tensor under severe parameter conditions.
This paper proposes and verifies that the vertex operator algebras associated with an infinite family of strongly coupled 4d Higgsless SCFTs, specifically the Argyre-Douglas theories, are non-rational doublet algebras , a connection established through diagonal-gauging constructions that reproduce conformal anomalies and prove the exact equality between the theories' Schur indices and the supercharacters of the corresponding VOAs.
This paper establishes a unified Ruelle--Pollicott spectral framework for metastable systems that reveals early-warning signals as a property of the interplay between spectral blocks, observables, and perturbations, demonstrating that growing residues can drive tipping transitions even without the traditional closing of spectral gaps.
This paper investigates the long-time power-law decay of the survival probability for a Brownian particle in a partially reactive wedge by employing matched asymptotic analysis to determine the persistence exponent for arbitrary angles and explicitly calculating the prefactor for specific wedge geometries, while also deriving the associated boundary local time and first-crossing time distributions.
This paper presents a novel systematic derivation of a relaxed single-particle continuum model for magic angle twisted bilayer graphene, demonstrating that incorporating structural relaxation drives the Hartree-Fock ground state at filling into a semi-metallic phase due to particle-hole asymmetry and enhanced Hartree potentials, thereby corroborating recent *ab initio* findings while offering explanations for the discrepancy with experimental observations.