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Mathematical Physics papers — page 247

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Delocalized spectra of Landau operators on helical surfaces
On a flat surface, the Landau operator, or quantum Hall Hamiltonian, has spectrum a discrete set of infinitely degenerate Landau levels. We consider surfaces with asymptotically constant curvature…
Yosuke Kubota, Matthias Ludewig, Guo Chuan ThiangJan 14, 2022
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On the x-y Symmetry of Correlators in Topological Recursion via Loop Insertion Operator
Topological Recursion generates a family of symmetric differential forms (correlators) from some initial data (,x,y,B). We give a functional relation between the correlators of genus g=0…
Alexander HockJan 14, 2022
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Harold Widom's work in random matrix theory
This is a survey of Harold Widom's work in random matrices. We start with his pioneering papers on the sine-kernel determinant, continue with his and Craig Tracy's groundbreaking results…
Ivan Corwin, Percy Deift, Alexander ItsJan 14, 2022
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Thermodynamic formalism for continuous-time quantum Markov semigroups: the detailed balance condition, entropy, pressure and equilibrium quantum processes
Mn(C) denotes the set of n by n complex matrices. Consider continuous time quantum semigroups Pt= et\, L, t ≥ 0, where $L:Mn(C) …
Jader E. Brasil, Josue Knorst, Artur O. LopesJan 13, 2022
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Analytical Study of Anomalous Diffusion by Randomly Modulated Dipole
This paper derives the Fokker-Planck (FP) equation for a particle moving in potential by a randomly modulated dipole. The FP equation describes the anomalous diffusion observed in the companion paper…
S. Katagiri, Y. Matsuo, Y. Matsuoka et al.Jan 13, 2022
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Anomalous diffusion in a randomly modulated velocity field
This paper proposes a simple model of anomalous diffusion, in which a particle moves with the velocity field induced by a single "dipole" (a doublet or a pair of source and sink), whose…
Noriaki Aibara, Naoaki Fujimoto, So Katagiri et al.Jan 13, 2022
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Semiclassical Formulae For Wigner Distributions
In this paper we give an overview over some aspects of the modern mathematical theory of Ruelle resonances for chaotic, i.e. uniformly hyperbolic, dynamical systems and their implications in physics.…
Sonja Barkhofen, Philipp Schütte, Tobias WeichJan 13, 2022
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Ternary generalization of Heisenberg's Algebra
A concise study of ternary and cubic algebras with Z3 grading is presented. We discuss some underlying ideas leading to the conclusion that the discrete symmetry group of permutations of three…
Richard KernerJan 13, 2022
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Thomas-Fermi profile of a fast rotating Bose-Einstein condensate
We study the minimizers of a magnetic 2D non-linear Schr\"odinger energy functional in a quadratic trapping potential, describing a rotating Bose-Einstein condensate. We derive an effective…
Dinh-Thi Nguyen, Nicolas RougerieJan 12, 2022
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On the Weakness of Short-Range Interactions in Fermi Gases
Ultracold quantum gases of equal spin fermions with short range interactions are often considered free even in the presence of strongly binding spin-up-spin-down pairs. We describe a large class of…
Marcel Griesemer, Michael HofackerJan 12, 2022
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Bundle Theoretic Descriptions of Massive Single-Particle State Spaces; With a view toward Relativistic Quantum Information Theory
Relativistic Quantum Information Theory (RQI) is a flourishing research area of physics, yet, there has been no systematic mathematical treatment of the field. In this paper, we suggest bundle…
Heon LeeJan 12, 2022
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Time and band limiting operator and Bethe ansatz
The time and band limiting operator is introduced to optimize the reconstruction of a signal from only a partial part of its spectrum. In the discrete case, this operator commutes with the so-called…
P. -A. Bernard, N. Crampe, L. VinetJan 12, 2022
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From Second-Order Differential Geometry to Stochastic Geometric Mechanics
Classical geometric mechanics, including the study of symmetries, Lagrangian and Hamiltonian mechanics, and the Hamilton-Jacobi theory, are founded on geometric structures such as jets, symplectic…
Qiao Huang, Jean-Claude ZambriniJan 11, 2022
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Quantum causality constraints on kappa-Minkowski space-time
The κ-Minkoswki space-time provides a quantum noncommutative-deformation of the usual Minkowski space-time. However, a notion of causality is difficult to be defined in such a space with…
Nicolas Franco, Jean-Christophe WalletJan 11, 2022
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Right mean for the α-z Bures-Wasserstein quantum divergence
A new quantum divergence induced from the α-z Renyi relative entropy, called the α-z Bures-Wasserstein quantum divergence, has been recently introduced. We investigate in this paper properties of…
Miran Jeong, Jinmi Hwang, Sejong KimJan 11, 2022
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Quantum statistics transmutation via magnetic flux attachment
We consider a model for two types (bath and tracers) of 2D quantum particles in a perpendicular magnetic field. Interactions are short range and inter-species, and we assume that the bath particles…
Gaultier Lambert, Douglas Lundholm, Nicolas RougerieJan 10, 2022
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Truncated affine Rozansky--Witten models as extended TQFTs
We construct extended TQFTs associated to Rozansky--Witten models with target manifolds T*Cn. The starting point of the construction is the 3-category whose objects are such…
Ilka Brunner, Nils Carqueville, Daniel RoggenkampJan 10, 2022
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Restriction of Laplace operator on one-forms: from Rn+2 and Rn+1 ambient spaces to embedded (A)dSn submanifolds
The Laplace-de Rham operator acting on a one-form a: a, in Rn+2 or Rn+1 spaces is restricted to n-dimensional pseudo-spheres. This includes, in particular,…
E. Huguet, J. Queva, J. RenaudJan 10, 2022
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A class of extended high-dimensional nonisospectral KdV hierarchies and symmetry
We construct a new class of N-dimensional Lie algebras and apply them to integrable systems. In this paper, we obtain a nonisospectral KdV integrable hierarchy by introducing a nonisospectral…
Haifeng Wang, Yufeng Zhang, Binlu FengJan 10, 2022
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A sharp criterion for zero modes of the Dirac equation
It is shown that A Ld2 dd-2\, Sd is a necessary condition for the existence of a nontrivial solution of the Dirac equation γ· (-i∇ -A)ψ= 0 in d…
Rupert L. Frank, Michael LossJan 10, 2022
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A Lie-Rinehart algebra in general relativity
We construct a Lie-Rinehart algebra over an infinitesimal extension of the space of initial value fields for Einstein's equations. The bracket relations in this algebra are precisely those of the…
Christian Blohmann, Michele Schiavina, Alan WeinsteinJan 8, 2022
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Diffusion in multi-dimensional solids using Forman's combinatorial differential forms
The formulation of combinatorial differential forms, proposed by Forman for analysis of topological properties of discrete complexes, is extended by defining the operators required for analysis of…
Kiprian Berbatov, Pieter D. Boom, Andrew L. Hazel et al.Jan 7, 2022
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Classical and quantum walks on paths associated with exceptional Krawtchouk polynomials
Classical and quantum walks on some finite paths are introduced. It is shown that these walks have explicit solutions given in terms of exceptional Krawtchouk polynomials and their properties are…
Hiroshi Miki, Satoshi Tsujimoto, Luc VinetJan 7, 2022
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Magnetic response of twisted bilayer graphene
In this article, we analyse the Bistritzer--MacDonald (BM) model (also known as the continuum model) of twisted bilayer graphene (TBG) with an additional external magnetic field. We provide an…
Simon Becker, Jihoi Kim, Xiaowen ZhuJan 6, 2022
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A comfortable graph structure for Grover walk
We consider a Grover walk model on a finite internal graph, which is connected with a finite number of semi-infinite length paths and receives the alternative inflows along these paths at each time…
Yusuke Higuchi, Mohamed Sabri, Etsuo SegawaJan 6, 2022
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