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Mathematical Physics papers — page 15

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On the Geometrical and Kinematical Foundations of the Symmetric Relativity Model: Lorentz Transformation and Time Dilation
We examine the kinematic foundations of relativity by considering two inertial frames, S and S', in a standard configuration, where S' moves along the common spatial x-axis at a…
Miodrag MateljevićJul 7, 2026
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Complete hierarchical structure of the spectral bands in the Kohmoto model
We study the Kohmoto model, a family of discrete Schrödinger operators with Sturmian potentials depending on a frequency and a coupling constant. We prove that, for all non-vanishing coupling…
Ram Band, Siegfried Beckus, Raphael LoewyJul 7, 2026
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Equilibrium states for non relativistic Bose gases and the Gross-Pitaevskii limit
In this paper, we present the construction of equilibrium states for a gas of weakly interacting non-relativistic bosons, focusing on the case of a non-trivial background field in infinitely extended…
Stefano Galanda, Nicola PinamontiJul 7, 2026
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Spatial Localization of Relativistic Quantum Systems: The Commutativity Requirement and the Locality Principle. Part II: A Model from Local QFT
This paper is the second and final part of a two-part study. We construct positive-energy relativistic spatial localization observables in Minkowski spacetime within standard quantum field theory,…
Valter MorettiJul 7, 2026
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Charge functions for all dimensional partitions
The charge functions for n-dimensional partitions are known for n=2,3,4 in the literature. In a recent work, we gave the expression for arbitrary odd dimension; here we further conjecture a formula…
Hao Feng, Tian-Shun Chen, Kilar ZhangJul 7, 2026
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Pure gapped ground states of spin chains are short-range entangled
We consider spin chains with a finite range Hamiltonian. For reasons of simplicity, the chain is taken to be infinitely long. A ground state is said to be a unique gapped ground state if its GNS…
Wojciech De Roeck, Martin Fraas, Bruno de O. CarvalhoJul 7, 2026
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Measurement-Access Risk Frontiers for Autonomous Scientific Control
Rapidly scaling autonomous science is limited not only by algorithms, compute or data volume, but by which physical records a platform exposes before action. We formulate physically accessible…
Bo PengJul 6, 2026
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Lower bound on the energy-momentum relation of the polaron
For a class of polaron-type models, we establish a lower bound on the energy-momentum relation in terms of the vacuum overlap and the spectral gap of the total momentum zero Hamiltonian. We show…
Steffen PolzerJul 6, 2026
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Collision geometry of relativistic spinning particles
We investigate elastic binary collisions of relativistic spinning particles in special relativity. The spin of each particle is represented by an antisymmetric second order tensor. Assuming the…
Simone CalogeroJul 6, 2026
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Long-range interactions and Anderson localisation for one-dimensional high-contrast resonator chain
Spectral and transport properties of high-contrast resonator systems can be described in the subwavelength regime in terms of the so-called capacitance operator. In this paper, we consider an…
Habib Ammari, Silvo Barandun, Jiayu Qiu et al.Jul 6, 2026
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A linear-algebraic formulation of dimensional analysis with constraints
Dimensional analysis, especially Buckingham's π theorem, reduces the number of variables by rewriting a relation in terms of dimensionless quantities. When variables are tied by definitions,…
Umpei MiyamotoJul 6, 2026
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The Dirichlet Laplacian with a point interaction on unbounded Lipschitz domains
We study one-centre point interactions for the Dirichlet Laplacian on unbounded domains in dimensions two and three, with emphasis on exterior domains and special Lipschitz domains. These operators…
Diego Noja, Francesco Raso StoiaJul 5, 2026
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Stäckel and Eisenhart lifts, Haantjes geometry and Gravitation
We study lifts of integrable systems by means of generalized Stäckel geometry. To this end, we present the notion of Stäckel lift as a unified setting for the construction of new classes of…
Ondřej Kubů, Piergiulio TempestaJul 5, 2026
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Generalised spin Calogero-Moser systems from Cherednik algebras
Integrable spin Calogero-Moser type systems with non-symmetric configurations of the singularities of the potential appeared in the work of Chalykh, Goncharenko, and Veselov in 1999. We obtain…
Misha Feigin, Mikhail Vasilev, Martin VrabecJul 5, 2026
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Nonlinear Lissajous orbits and particular superintegrability
We investigate the geometry of classical trajectories generated by separable two-dimensional polynomial potentials of the form V(x,y)=12(x2N+A\,y2N), where N=1,2,…,…
A. M. Escobar-Ruiz, R. AzuajeJul 4, 2026
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Attractor Flow Versus Hesse Flow in Wall-Crossing Structures
We recast the physics discussions in the paper of Dieter Van den Bleeken svan2012bps within the context of wall-crossing structure à la Kontsevich and Soibelman kontsevich2014wall. In…
Qiang WangJul 3, 2026
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The Oracle Theorem for Matrix-Valued Jacobi Operators
This paper develops the matrix-valued analogue of the reflectionless and oracle framework for Jacobi operators. Starting from matrix-valued Weyl--Titchmarsh m-functions on the Siegel upper…
Silas L. Carvalho, Douglas C. P. FreitasJul 3, 2026
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A new PBW basis for the alternating central extension of the q-Onsager algebra
We establish a new PBW basis for Aq, the alternating central extension of the q-Onsager algebra. Terwilliger showed that the alternating generators form a PBW basis in the block order…
Haoran ZhuJul 3, 2026
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A scheme for topological phases of the Weyl C*-algebra
In this work, we introduce a classification scheme for topological phases of matter based on the topology of the space of pure states of a model C*-algebra. Under it, topological phases are…
Giuseppe De Nittis, Santiago G. RendelJul 3, 2026
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Generalized Hermite Polynomials and Spectral Degeneracies of a Singular Sextic Oscillator
We study a quasi-exactly solvable singular sextic oscillator and its algebraic spectrum. For a distinguished range of parameters, we prove that the discriminant of the characteristic polynomial of…
Davide Guzzetti, Dmitrii RachenkovJul 3, 2026
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Scattering of TE and TM waves by inhomogeneities of a 2D material, low-frequency behavior of the scattering amplitude, and low-frequency invisibility
The propagation of the transverse electric (TE) and transverse magnetic (TM) waves in an effectively two-dimensional (2D) isotropic medium is described by Bergmann's equation of acoustics. We…
Farhang Loran, Ali MostafazadehJul 3, 2026
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Exponentially slow Mixing arising from Entropic Repulsion in p-SOS model
We investigate the Glauber dynamics of the generalized (2+1)-dimensional p-SOS model, 1<p<∞, under a hard floor constraint. This constraint induces entropic repulsion: the integer-valued…
Seokun ChoiJul 3, 2026
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Hilbert Grassmannians as classifying spaces
In this short work we prove that the Hilbert Grassmannians endowed with the weak topology are models for the classifying spaces of the unitary groups. As application of this result one can use…
Giuseppe De Nittis, Kiyonori Gomi, Santiago G. RendelJul 3, 2026
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A von Neumann algebraic approach to Quantum Theory on curved spacetime
By extending the method developed in our recent paper LM we present the AQFT framework in terms of von Neumann algebras. In particular, this approach allows for a locally covariant categorical…
Louis E Labuschagne, W Adam MajewskiJul 3, 2026
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Transition-Set Morphometry for Inter-Scale Contacts in Digital Sandstones
This paper introduces a transition-set morphometry for quantifying inter-scale contacts in digital sandstones. Pore volume, a medial pore-throat subsystem, and fracture porosity are treated as…
O. M. KiselevJul 2, 2026
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