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Mathematical Physics papers — page 88

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Lagrangian averaging of singular stochastic actions for fluid dynamics
We construct sub-grid scale models of incompressible fluids by considering expectations of semi-martingale Lagrangian particle trajectories. Our construction is based on the Lagrangian decomposition…
Theo Diamantakis, Ruiao HuApr 14, 2025
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q-Deformed Heisenberg Picture Equation
In this paper we introduce the q-deformed Heisenberg picture equation. We consider some examples such as : the spinless particle, the electr\'on interaction with a magnnetic field and q-deformed…
Julio César Jaramillo QuicenoApr 14, 2025
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Quantum Phase diagrams and transitions for Chern topological insulators
Topological invariants such as Chern classes are by now a standard way to classify topological phases. Introducing and varying parameters in such systems leads to phase diagrams, where the Chern…
Ralph M. Kaufmann, Mohamad Mousa, Birgit Wehefritz-KaufmannApr 14, 2025
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Ising 100: review of solutions
We present several known solutions to the two-dimensional Ising model. This review originated from the ``Ising 100'' seminar series held at Bogazici University, Istanbul, in 2024.
Oğuz Alp Ağırbaş, Anıl Ata, Eren Demirci et al.Apr 13, 2025
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Scattering matrices for perturbations of Laplace operator by infinite sums of zero-range potentials
This paper analyzes the scattering matrix for two unbounded self-adjoint operators: the standard Laplace operator in three-dimensional space and a second operator that differs from the first by an…
Adamyan VadymApr 13, 2025
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On distances among Slater Determinant States and Determinantal Point Processes
Determinantal processes provide mathematical modeling of repulsion among points. In quantum mechanics, Slater determinant states generate such processes, reflecting Fermionic behavior. This note…
Chiara Boccato, Francesca Pieroni, Dario TrevisanApr 11, 2025
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On the SUSY structure of spherically symmetric Pauli Hamiltonians
It is shown that the quantum Hamiltonian characterising a non-relativistic electron under the influence of an external spherical symmetric electromagnetic potential exhibits a supersymmetric…
Georg JunkerApr 11, 2025
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Minimal algebraic solutions of the sixth equation of Painlev\'e
For each of the forty-eight exceptional algebraic solutions u(x) of the sixth equation of Painlev\'e, we build the algebraic curve P(u,x)=0 of a degree conjectured to be minimal, then we give an…
Robert ConteApr 11, 2025
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Sheaf Topos Theory: A powerful setting for Lagrangian Field Theory
We provide an introductory exposition to the sheaf topos theoretic description of classical field theory motivated by the rigorous description of both (i) the variational calculus of (infinite…
Grigorios GiotopoulosApr 10, 2025
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q-Differential Operators for q-Spinor Variables
We introduce a q-differential operator adapted to q-spinor variables, establishing a corresponding q-spinor chain rule and defining both standard and Dirac-type…
Julio Cesar Jaramillo QuicenoApr 10, 2025
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Convergence to the equilibrium for the kinetic transport equation in the two-dimensional periodic Lorentz Gas
We consider the kinetic transport equation that arise in the Boltzmann-Grad limit of the two-dimensional periodic Lorentz Gas. This equation has been obtained by extending the phase space of…
Francesca PieroniApr 9, 2025
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Rational interpolants and solutions of dispersionless Hirota system
The aim of this paper is to construct a class of explicit nontrivial rational solutions of the dispersionless Hirota system of PDEs. All the solutions in this class are of homogeneity degree 1 and…
Andriy PanasyukApr 8, 2025
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On Stochastic Variational Principles
The study of stochastic variational principles involves the problem of constructing fixed-endpoint and adapted variations of semimartingales. We provide a detailed construction of variations of…
Archishman SahaApr 8, 2025
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Orthogonal Polynomials with Complex Densities and Quantum Minimal Surfaces
We show that the discrete Painlev\'e-type equations arising from quantum minimal surfaces are equations for recurrence coefficients of orthogonal polynomials for indefinite hermitian products. As a…
Giovanni Felder, Jens HoppeApr 8, 2025
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NQG III -- Two-Centre Problems, Whirlpool Galaxy and Toy Neutron Stars
In the hunt for WIMPish dark matter and testing our new theory, we extend the results obtained for the Kepler problem in NQG I and NQG II to the Euler two-centre problem and to other classical…
Richard Durran, Aubrey TrumanApr 8, 2025
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Remarks on the locality of generalized global symmetries
We examine generalized global symmetries as a kind of compactly supported cohomology, and so are led to revisit questions about the locality of quantum field theory, following Segal. Physics…
Owen GwilliamApr 8, 2025
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Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIA. Subgroup Basis
Three subgroup type eigenfunctions of the Laplace-Beltrami operator on a two-dimensional two-sheeted hyperboloid are considered and all interbasis expansions between them are calculated. It is shown…
G. S. Pogosyan, A. YakhnoApr 7, 2025
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A rigorous formulation of Density Functional Theory for spinless fermions in one dimension
In this paper, we present a completely rigorous formulation of Kohn-Sham density functional theory for spinless fermions living in one dimensional space. More precisely, we consider Schr\"odinger…
Thiago Carvalho CorsoApr 7, 2025
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Generalized Fermi-Dirac Distribution of Exclusive Fermions
A system of exclusive fermions occurs when two fermions of opposite spin are prohibited from occupying the same quantum level. We derive the distribution of exclusive fermions via the employment of…
Chung-Ru Lee, Chin-Rong LeeApr 7, 2025
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On the Deformed Algebras Applications to Quantum Physics
Some possible applications of deformed algebras to Quantum Physics are considered based on a rigorous approach. Jackson integrals are expressed in the context of the equipped separable Hilbert space.…
Julio Cesar Jaramillo Quiceno, Plamen Neytchev NechevApr 6, 2025
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Existence of abelian BPS vortices on surfaces with Neumann boundary conditions
Existence of abelian BPS vortices on a manifold with boundary satisfying Neumann boundary conditions is proved. Numeric solutions are constructed on the Euclidean disk, and the L2-metric of the…
Rene Garcia-LaraApr 5, 2025
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Auxetic laminates composed of plies with special orthotropy
This paper focuses on the conditions for obtaining auxetic, i.e. with a negative Poisson's ratio, composite laminates made of specially orthotropic layers. In particular, the layers considered are of…
Paolo VannucciApr 5, 2025
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Kernel and image of the Biot-Savart operator and their applications in stellarator designs
We consider the Biot-Savart operator acting on W-12,2 regular, div-free, surface currents j gather BS(j)(x)=14π∫j(y)×…
Wadim GernerApr 5, 2025
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Charged particle motion in a strong magnetic field: Applications to plasma confinement
We derive the zero order approximation of a charged particle under the influence of a strong magnetic field in a mathematically rigorous manner and clarify in which sense this approximation is valid.…
Ugo Boscain, Wadim GernerApr 5, 2025
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Hilbert-Schmidt norm estimates for fermionic reduced density matrices
We prove that the Hilbert-Schmidt norm of k-particle reduced density matrices of N-body fermionic states is bounded by CkNk/2 - matching the scaling behaviour of Slater determinant states.…
François Louis Antoine ViscontiApr 4, 2025
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