1605 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 applies Hirota's bilinear method to the integrable discrete focusing Manakov system to construct and rigorously analyze the explicit formulas, visualization, and long-time asymptotic behavior of various soliton and breather solutions, including their complex two-body interactions.
This paper investigates a generalized WKB ansatz for the quantum propagator by introducing an additive exponent as a measure of quantumness, analyzing its role through the Hamilton-Jacobi equation, and exploring its application to various systems, field theories, and Hamiltonian-constrained dynamics.
This paper rigorously demonstrates that the spin-1 AKLT ground state can be characterized as the observable output of a causal hidden quantum Markov model, thereby revealing its intrinsic quantum memory and offering a promising framework for analyzing measurement-based quantum computation.
This paper investigates the singularly perturbed Dirichlet problem for the -Laplacian with competing superlinear terms, establishing the existence of critical parameters that determine solution nonexistence or multiplicity, and proving that positive ground states converge strongly to an explicit profile as the perturbation parameter vanishes.
This paper presents a framework for analyzing rare events in small-noise Doob conditioned processes by reinterpreting the conditioned ensemble as a post-selected original process, thereby deriving an optimal-control variational principle for the generating function without requiring the explicit construction of the Doob drift.
This paper formulates a framework for algebraic tomography of finite-dimensional non-Hermitian Floquet systems that reconstructs spectral data from observable trace sequences using characteristic polynomial constraints and resolvent methods, while clarifying identifiability limits and demonstrating applications in driven qutrits and SSH chains.
This paper demonstrates that the SU(1,1) nonlinear Fourier transform can diverge pointwise for square-summable coefficients, thereby proving that classical pointwise asymptotics for orthogonal polynomials on the unit circle may fail even within the Szegő class, while also identifying specific conditions under which convergence is preserved.
This paper proves Soumik Pal's conjecture regarding the asymptotic behavior of the permanent of block-uniform matrices, confirming that the normalized permanent converges to an expression involving a large deviation rate functional and a Fredholm determinant derived from Peter McCullagh's formula.
This paper characterizes the minimizers and explicitly computes the optimal constants for a class of sharp weighted Sobolev-type inequalities on the interval by demonstrating that extremizers have constant signs and solve a nonlinear polyharmonic eigenvalue problem, thereby recovering various known sharp estimates and Hardy-type inequalities.
This paper investigates static, spherically symmetric spacetimes in covariant teleparallel gravity with electromagnetic sources, deriving field equations and conservation laws to establish a general reconstruction procedure that yields exact charged solutions—including black-hole-like and wormhole-like branches—which generalize Reissner–Nordström spacetimes and offer new insights into strong-field physics beyond General Relativity.