2656 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 extends Lie-algebraic classical simulation beyond the free-fermionic regime by identifying new families of polynomial-dimensional dynamical Lie algebras and introducing symmetry-adapted basis representations that enable efficient simulation of structured quantum dynamics with large Pauli expansions.
This paper develops a rigorous framework for analyzing wave propagation in 2D honeycomb structures with irrational line defects by exploiting quasiperiodicity to construct approximate edge states via a 3D embedding and a resolvent expansion, revealing that such non-commensurate geometries support infinitely many edge states with energies dense in the bulk spectral gap.
This paper systematically analyzes the dependence of ferromagnetic resonance frequency, damping, and quality factor on local energy curvature in ferromagnetic nanomagnets, highlighting how the standard quality factor approximation fails near bifurcation points where the number of metastable energy minima changes.
This paper investigates a linear/nonlinear correspondence generalizing Fritz's "Lie Quandles," classifies a broader class of these structures, and presents results toward a nonlinear analogue of Noether's first theorem.
This paper rigorously establishes that Nakajima-Zwanzig memory kernels for open quantum systems with factorized initial states and continuous bath spectra belong to the Hardy space, thereby proving the validity of Kramers-Kronig dispersion relations and providing new theorems linking analyticity to physical constraints like complete positivity and stability, while demonstrating that correlated initial states can break this analyticity and lead to acausal dynamics.
This paper constructs and proves the asymptotic accuracy of one-phase and two-phase soliton- and peakon-like solutions for the Camassa–Holm equation with variable coefficients and small dispersion by expressing them as sums of a regular background and a singular component, supported by explicit examples.
This paper establishes the existence and emergence of semiclassical resonances near Landau levels for the magnetic Laplacian under various local magnetic field configurations, including locally constant fields, magnetic step discontinuities, non-degenerate wells, and fields with isolated zeros, utilizing semiclassical complex scaling and black box scattering theory.
This paper presents a physics-based numerical model that synthesizes seismic signals from gravel-bed rivers by integrating grain-scale particle dynamics with turbulent flow effects, demonstrating its ability to distinguish between sediment transport and flow-induced noise through comparison with observed flood data.
This paper establishes an operator-algebraic framework for Morita equivalence of quantum graphs based on -equivalence, demonstrating that irreducibly acting quantum graphs are Morita equivalent if and only if they are full pullbacks of a common graph, while proving that key graph invariants such as the Lovász number and Shannon capacity remain invariant under this equivalence.
This paper establishes the existence and completeness of wave operators for Jacobi matrices whose spectral measures satisfy the Szegő condition, provided a mild additional assumption holds for the associated Verblunsky coefficients.