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Mathematical Physics papers — page 28

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Local Robustness of Bound States in the Continuum through Scattering-Matrix Eigenvector Continuation
We consider the diffraction of time-harmonic plane waves by a periodic structure, governed by the Helmholtz equation. Bound states in the continuum (BICs) are quasi-periodic fields that remain…
Ya Yan Lu, Jiaxin ZhouMay 25, 2026
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Topological Classification of Insulators: III. Non-interacting Spectrally-Gapped Systems in All Dimensions
We study non-interacting electrons in disordered materials which exhibit a spectral gap, in each of the ten Altland--Zirnbauer symmetry classes, in all space dimensions. We define an appropriate…
Jui-Hui Chung, Jacob ShapiroMay 25, 2026
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Lagrangian and Multisymplectic Descriptions of Classical Fields: A Connection in the Momentum Representation
The multisymplectic Hamiltonian formalism is a generalization of the Hamiltonian formalism that manifestly preserves covariance in the description of fields and that has been proposed as a possible…
José Francisco Pérez-BarragánMay 25, 2026
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Higher (gauged) Wess--Zumino--Witten terms based on Lie crossed modules
We derive higher Wess--Zumino--Witten (WZW) and gauged WZW (gWZW) terms within strict higher Chern--Simons (CS) gauge theory. Starting from the Cartan homotopy formula, we obtain the…
Danhua SongMay 24, 2026
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Clothoid helices obtained via the Lie-Darboux method
The clothoid helices that have both curvature and torsion directly proportional to the arclength are obtained via the Lie-Darboux method and analyzed in some detail. Shifted counterparts are also…
H. C. Rosu, J. de la Cruz, P. Lemus-BasilioMay 24, 2026
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Advanced linear algebra
This is an introduction to advanced linear algebra, with emphasis on geometric aspects, and with some applications included too. We first review basic linear algebra, notably with the spectral…
Teo BanicaMay 24, 2026
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xCPS: an xAct package for covariant phase space, Noether charges, and entropy
xCPS is an xAct tensor algebra package for symbolic computations within the covariant phase space formalism of field theories. From a generic Lagrangian, xCPS automates the derivation of equations of…
Juan Margalef-BentabolMay 22, 2026
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Exact versus tight-binding models in longitudinally modulated PT-symmetric coupled waveguides
The tight-binding (TB) model is a widely adopted approximation scheme for describing light propagation in waveguide arrays. Despite its success, its validity in PT-symmetric systems…
Alonso Contreras-Astorga, José Israel Galindo-RodríguezMay 22, 2026
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Reconstruction methods for inverse scattering problems with phaseless data
We investigate phaseless inverse scattering problem for the Schrödinger equation and develop reconstruction methods based on the inverse Born series (IBS). We consider three types of phaseless data:…
John C. Schotland, Shenwen YuMay 22, 2026
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The Floquet-Magnus expansion of unbounded operators
The Floquet-Magnus expansion is a widely used tool to derive effective descriptions of time-periodic quantum systems by approximating their dynamics with a time-independent Hamiltonian. However, its…
Daniel Burgarth, Robin Hillier, Davide Lonigro et al.May 22, 2026
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On Global Attraction for a Particle Coupled to a Scalar Field
We study the question of global attraction, in the energy norm, for finite energy solutions to classical particle coupled to a scalar wave field. The attraction could take place to either the set of…
Valeriy ImaykinMay 22, 2026
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A Metric-Deformed q-Gauge Dirac Equation
We construct a family of metric-deformed gauge theories based on a recently introduced q-Dirac operator Dq = γμ|gμμ|∂μ, which arises from a deformed D'Alembertian $q…
Julio César Jaramillo QuicenoMay 22, 2026
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Effective Dynamics for the Bose Polaron in the Large-Volume Mean-Field Limit
We consider the dynamics of the Bose polaron system, a dense quantum gas consisting of N bosons evolving in R3 in the presence of an impurity particle. The system is studied in the…
Jonas Lampart, Peter Pickl, Siegfried SpruckMay 22, 2026
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Braided quantum mechanics and Majorana qubits at third root of unity: a color Heisenberg-Lie (super)algebra framework
We introduce color Heisenberg-Lie (super)algebras graded by the abelian groups Z32, Z2p× Z32 for p=1,2,3, and investigate the properties of their associated multi-particle quantum…
Zhanna Kuznetsova, Francesco ToppanMay 22, 2026
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A family of variational principles of minima for the plasticity, the friction contact and the fracture mechanics
The paper is a synthesis of several works on the variational principles for application to the mechanics and the physics, inspired from original ideas of Brezis, Ekeland and Nayroles. On this basis,…
Géry de SaxcéMay 21, 2026
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A perturbative approach to the Wetterich equation for Bosonic and Fermionic interacting fields
We study the Lorentzian Wetterich Renormalization Group (RG) flow equation for interacting quantum fields on curved backgrounds within the framework of perturbative Algebraic Quantum Field Theory…
Beatrice CosteriMay 21, 2026
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Asymptotics of the IDS for Schrödinger operators with singular potentials and Gibbs point processes
The asymptotic behavior of the integrated density of states (IDS), \(N(E)\), is investigated for random Schrödinger operators with a single-site potential \(V\) satisfying \(essinf\, V =…
Yuta NakagawaMay 21, 2026
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Lie symmetries of a generalized Fisher equation in cylindrical coordinates
In this work we studied a generalized Fisher equation in cylindrical coordinate using Lie symmetry method. We have determined for what type of source function the generalized Fisher equation has Lie…
Bayarjargal Batsukh, Uuganbayar ZunderiyaMay 21, 2026
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Theoretical analysis of the effect of the kinetic energy operator on double heterostructure spectra
We report an analytical and numerical study of the effect of kinetic energy operator (KEO) ambiguity on the energy spectra of double heterostructures when the mass of the charge carriers, subjected…
R. Valencia-Torres, J. García-Ravelo, E. Choreño-Ortiz et al.May 21, 2026
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Perfect fluid equations with nonrelativistic conformal symmetry: Exact solutions
The group-theoretic approach is used to construct exact solutions to perfect fluid equations invariant under the Schrodinger group, or the l-conformal Galilei group, or the Lifshitz group. In each…
Anton GalajinskyMay 21, 2026
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Les Houches Lectures on Exact WKB Analysis and Painlevé Equations
The first part of these lecture notes is devoted to an introduction to the theory of exact WKB analysis for second-order Schrödinger-type ordinary differential equations. It reviews the construction…
Kohei IwakiMay 21, 2026
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Finite-rank conformal quantum mechanics
In this work, we study the simplest example of the landscape of conformal field theories: one-dimensional CFTs with finite-dimensional state space. Following the definition of quantum field theory…
Maxim Gritskov, Saveliy TimchenkoMay 21, 2026
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Affine extensions of Z22-graded osp(1|2) and Virasoro algebra
It is known that there are two inequivalent Z22-graded osp(1|2) Lie superalgebras. Their affine extensions are investigated and it is shown that one of them admits two central…
N. Aizawa, J. SegarMay 21, 2026
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Landau-Ginzburg models of generalised Dubrovin-Zhang form and pole collision: Dynkin-type A
In arXiv:1711.05958, arXiv:2103.12673, the authors derive one-dimensional Landau-Ginzburg mirrors of Dubrovin-Zhang Frobenius manifolds constructed on regular orbit spaces of an extension of affine…
Alessandro Proserpio, Karoline van GemstMay 20, 2026
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Essentially singular limits of Jacobi operators and applications to higher-order squeezing
We study a family of Jacobi operators in which the diagonal entries are multiplied by a coupling parameter λ≥0. Under suitable conditions, the operator is self-adjoint for every λ>0, while the…
Felix Fischer, Daniel Burgarth, Davide LonigroMay 20, 2026
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