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Mathematical Physics papers — page 40

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The non-uniform electron gas
The non-uniform (or inhomogeneous) electron gas has received much attention in many-body quantum mechanics and quantum chemistry in the early days of density functional theory, mainly as a…
Mihaly A. Csirik, Andre LaestadiusMar 22, 2026
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Scattering for anisotropic potentials
We consider the scattering for the operator H=Ho+V, where the unperturbed operator Ho is not assumed to be elliptic and the potential V is anisotropic. Under some conditions on Ho and V…
Evgeny KorotyaevMar 22, 2026
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Propagation of Condensation via Neumann Localization in the Dilute Bose Gas
We prove a Neumann localization inequality for the Laplacian that includes a spectral gap. This result is obtained by partitioning a cube into overlapping families of subcubes and analysing the…
Lukas JungeMar 21, 2026
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Vertex Centrality Reconstruction in an Inverse Problem for Information Diffusion
We consider an inverse problem in information diffusion modeled by random walks on combinatorial graphs. The problem concerns reconstruction of vertex centrality from the distribution of the first…
Yixian Gao, Songshuo Li, Yang YangMar 21, 2026
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Homotopy lattice gauge fields 1: The fields and their properties
We introduce homotopy lattice gauge fields (HLGFs), a version of gauge fields over a discretized base, based on a notion of higher parallel transport that enriches the usual parallel transport along…
Juan Orendain, Ivan Sanchez, José A. ZapataMar 19, 2026
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Disordered Ground States of Ergodic Quantum Spin Systems
In this letter, we fill a hole in the existing literature about disordered quantum spin systems generated by a random local interaction \h(Z)\Z Z satisfying a…
Eric B. Roon, Jeffrey H. SchenkerMar 19, 2026
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Symmetry-protected Interface Modes Bifurcated from Double Dirac Cones
We rigorously prove the existence of interface modes in a sharp interface model, which bifurcate from the double Dirac cone as a consequence of the band inversion induced by super-symmetry breaking.…
Habib Ammari, Jiayu QiuMar 19, 2026
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Duality of generalized Maxwell theories as an equivalence in derived geometry
We propose a non-perturbative description of the moduli spaces encoding p-form generalized Maxwell theories in any dimension, using derived differential geometry. Our approach synthesizes the…
Chris Elliott, Owen Gwilliam, Ingmar Saberi et al.Mar 19, 2026
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The Lee-Yang property of isotropic vector ferromagnets and lattice fields
The Lee-Yang property of a given spin model means that its partition function has purely imaginary zeros as a function of an external magnetic field. A similar property is also used in the theory of…
Yuri KozitskyMar 19, 2026
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Radiation damping of the soliton internal mode in 1D quadratic Klein-Gordon equation
We study long-time dynamics of small even perturbations of the soliton in 1D quadratic Klein-Gordon equation. The soliton possesses both an internal mode and the unstable mode. On a codimension-one…
Piotr Bizoń, Tomasz RomańczukiewiczMar 19, 2026
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On the Finsler variational nature of autoparallels in metric-affine geometry
In metric-affine geometry, autoparallels are generically non-variational, i.e., they are not the extremals of any action integral. The existence of a parametrization-invariant action principle for…
Lehel Csillag, Nicoleta Voicu, Salah Elgendi et al.Mar 19, 2026
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A generalization of the Choi isomorphism with application to open quantum systems
Completely positive transformations play an important role in the description of state changes in quantum mechanics, including the time evolution of open quantum systems. One useful tool to describe…
Heinz-Jürgen SchmidtMar 19, 2026
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A Variational Formulation of Classical Cosserat Elasticity with Independent Coframe and Rotational Connection
We present a geometric formulation of classical Cosserat elasticity in which the coframe and rotational connection are treated as independent variational fields. In contrast to conventional…
Lev SteinbergMar 18, 2026
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Critical coupling thresholds for tilted Kuramoto-Vicsek models with a confining potential
We study a Kuramoto-Vicsek model of self-propelled particles with periodic boundary conditions subject to a constant angular tilt and a confining potential, and its mean-field (Fokker-Planck)…
Benedetta Bertoli, Benjamin D. Goddard, Grigorios A. PavliotisMar 18, 2026
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On dynamical semigroup for damped driven Jaynes-Cummings equations
The article addresses the damped driven Jaynes-Cummings for quantised one-mode Maxwell field coupled to a two-level molecule. We consider a broad class of damping and pumping which are polynomial in…
A. I. Komech, E. A. KopylovaMar 18, 2026
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Generalized Snell's laws for rough interfaces
In this paper, we consider the reflection and transmission problem of waves by a rapidly oscillating rough interface that exhibits general mixing properties. Using an asymptotic analysis based on a…
Christophe Gomez, Knut SølnaMar 18, 2026
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On the conservation of specific energy and entropy in infinite anharmonic systems
We work with infinite, closed, translation-invariant, finite-range lattice systems with "unbounded classical spins", also known as anharmonic crystals, under assumptions close to those used by…
Gaia Pozzoli, Renaud RaquépasMar 18, 2026
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Solving gravitational field equations by Wiener-Hopf matrix factorisation, and beyond
By viewing Einstein's field equations -- reduced to two dimensions -- as an integrable system, one can simultaneously obtain exact solutions to both the equations themselves and their associated Lax…
M. Cristina Câmara, Gabriel Lopes CardosoMar 17, 2026
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Ergodicity in discrete-time quantum walks
We undertake a detailed analysis of ergodicity for homogeneous discrete-time quantum walks on the integer lattice. The most significant result of our paper holds in dimension one, and gives a…
Kiran Kumar, Mostafa SabriMar 17, 2026
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The weakly interacting tenfold way
The tenfold way is a classification scheme for the building blocks of free fermion systems. More precisely, it classifies the isomorphism classes of spaces of equivariant free Hamiltonians in…
Lucas C. P. A. M. Müssnich, Renato Vasconcellos VieiraMar 17, 2026
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A dense focusing Ablowitz-Ladik soliton gas and its asymptotics
In this paper, we propose a soliton gas solution for the focusing Ablowitz-Ladik system. This solution is defined as the large N limit of the N-soliton solution, and arises from a continuous spectrum…
Meisen Chen, Engui Fan, Zhaoyu Wang et al.Mar 17, 2026
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A symplectic geometric origin of universal quartic modified dispersion relations
We show that quartic modifications of relativistic dispersion relations arise generically from deformation-quantized phase spaces under minimal kinematical assumptions relevant to quantum gravity.…
Sanjib Dey, Mir FaizalMar 17, 2026
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BC Toda chain II: symmetries. Dual picture
In the previous paper we derived Gauss-Givental integral representation for the wave functions of quantum BC Toda chain and also introduced Baxter operators for this model. In the present paper we…
N. Belousov, S. Derkachov, S. KhoroshkinMar 17, 2026
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BC Toda chain I: reflection operator and eigenfunctions
We obtain Gauss-Givental integral representation for the eigenfunctions of quantum Toda chain with boundary interaction of BC type. For this we introduce reflection operator satisfying reflection…
N. Belousov, S. Derkachov, S. KhoroshkinMar 17, 2026
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Schrödinger operators with concentric δ--shell interactions
We study Schrödinger operators on R3 with finitely many concentric spherical δ-shell interactions. The operators are defined by the quadratic form method and are described by continuity…
Masahiro KaminagaMar 17, 2026
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