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Mathematical Physics papers — page 222

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On the topology of the space of coordination geometries
Coordination geometries describe how the neighbours of a central particle are arranged around it. Such geometries can be thought to lie in an abstract topological space; a model of this space could…
John Çamkıran, Fabian Parsch, Glenn D. HibbardJul 25, 2022
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Graphene Dirac fermions in symmetric electric and magnetic fields: the case of an electric square well
In this paper, a simple method is proposed to get analytical solutions (or with the help of a finite numerical calculations) of the Dirac-Weyl equation for low energy electrons in graphene in the…
İsmail Burak Ateş, Şengül Kuru, Javier NegroJul 25, 2022
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Conversations with Flaschka: Kac-Moody groups and Verblunsky coefficients
In this paper we discuss two items which in one way or another originated from conversations with Hermann Flaschka and his students. The first is an application of the Toda lattice to the question of…
Mohammad Javad Latifi, Doug PickrellJul 23, 2022
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Towards a mathematical Theory of the Madelung Equations
Even though the Madelung equations are central to many 'classical' approaches to the foundations of quantum mechanics such as Bohmian and stochastic mechanics, no coherent mathematical theory has…
Maik Reddiger, Bill PoirierJul 22, 2022
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Exponential moments for disk counting statistics at the hard edge of random normal matrices
We consider the multivariate moment generating function of the disk counting statistics of a model Mittag-Leffler ensemble in the presence of a hard wall. Let n be the number of points. We focus on…
Yacin Ameur, Christophe Charlier, Joakim Cronvall et al.Jul 22, 2022
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A Szego Limit Theorem Related to the Hilbert Matrix
The Szego limit theorem by Fedele and Gebert for matrices of the type identity minus Hankel matrix is proved for the special case 1-βπHN,α where HN,α is the…
Peter OtteJul 22, 2022
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Toward fixed point and pulsation quantum search on graphs driven by quantum walks with in- and out-flows: a trial to the complete graph
We treat a quantum walk model with in- and out- flows at every time step from the outside. We show that this quantum walk can find the marked vertex of the complete graph with a high probability in…
Yusuke Higuchi, Mohamed Sabri, Etsuo SegawaJul 21, 2022
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Existence of the transfer matrix for a class of nonlocal potentials in two dimensions
Evanescent waves are waves that decay or grow exponentially in regions of the space void of interaction. In potential scattering defined by the Schr\"odinger equation, (-∇2+v)=k2 for…
Farhang Loran, Ali MostafazadehJul 20, 2022
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Determining the volume fraction in 2-phase composites and bodies using time varying applied fields
A body containing two phases, which may form a periodic composite with microstructure much smaller that the body, or which may have structure on a length scale comparable to the body, is…
Ornella Mattei, Graeme W. Milton, Mihai PutinarJul 20, 2022
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Dirac cones for a mean-field model of graphene
In this article, we show that, in the dissociation regime and under a non-degeneracy assumption, the reduced Hartree-Fock theory of graphene presents Dirac points at the vertices of the first…
Jean CazalisJul 20, 2022
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Self-avoiding walks contained within a square
We have studied self-avoiding walks contained within an L × L square whose end-points can lie anywhere within, or on, the boundaries of the square. We prove that such walks behave,…
Anthony J Guttmann, Iwan Jensen, Aleksander L OwczarekJul 20, 2022
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A Novel Potential Featuring Off-Center Circular Orbits
In Book 1, Proposition 7, Problem 2 of his 1687 Philosophiae Naturalis Principia Mathematica, Isaac Newton poses and answers the following question: Let the orbit of a particle moving in a central…
Maxim OlshaniiJul 20, 2022
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The Blume-Emery-Griffiths model at the FAD and AD interfaces
We analyse the Blume-Emery-Griffiths (BEG) model on the lattice at the ferromagnetic-antiquadrupolar-disordered (FAD) and antiquadrupolar-disordered (AD) interfaces of parameters. In our…
Paulo C. Lima, Riccardo Mariani, Aldo Procacci et al.Jul 19, 2022
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Ground States for Infrared Renormalized Translation-Invariant Non-Relativistic QED
We consider a translation-invariant Pauli-Fierz model describing a non-relativistic charged quantum mechanical particle interacting with the quantized electromagnetic field. The charged particle may…
David Hasler, Oliver SiebertJul 19, 2022
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A dualization approach to the Ground State Subspace Classification of Abelian Higher Gauge Symmetry Models
In the literature, abelian higher gauge symmetry models are shown to be valid in all finite dimensions and exhibit the characteristic behavior of SPT phases models. While the ground state degeneracy…
J. Lorca EspiroJul 19, 2022
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Parametric models and information geometry on W*-algebras
We introduce the notion of smooth parametric model of normal positive linear functionals on possibly infinite-dimensional W*-algebras generalizing the notions of parametric models used in classical…
Florio M. Ciaglia, Fabio Di Nocera, Jürgen Jost et al.Jul 19, 2022
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On General-n Coefficients in Series Expansions for Row Spin-Spin Correlation Functions in the Two-Dimensional Ising Model
We consider spin-spin correlation functions for spins along a row, Rn = σ0,0σn,0, in the two-dimensional Ising model. We discuss a method for calculating general-n…
Robert ShrockJul 19, 2022
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A characterisation of orthomodular spaces by Sasaki maps
Given a Hilbert space H, the set P(H) of one-dimensional subspaces of H becomes an orthoset when equipped with the orthogonality relation induced by the inner product on H. Here, an…
Bert Lindenhovius, Thomas VetterleinJul 19, 2022
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Notes on invariant measures for loop groups
Let K denote a simply connected compact Lie group and let G=K C, the complexification. It is known that there exists an LK bi-invariant probability measure on a natural hyperfunction…
Doug PickrellJul 19, 2022
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Deformation quantization of the simplest Poisson Orbifold
Whenever a given Poisson manifold is equipped with discrete symmetries the corresponding algebra of invariant functions or the algebra of functions twisted by the symmetry group can have new…
Alexey Sharapov, Evgeny Skvortsov, Arseny SukhanovJul 18, 2022
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When Poisson and Moyal Brackets are equal?
In the phase space 2d, let us denote \A,B\ the Poisson bracket of two smooth classical observables and \A, B\ their Moyal bracket, defined as the Weyl symbol of $i[ A,…
Didier RobertJul 18, 2022
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G-dual teleparallel connections in Information Geometry
Given a real, finite-dimensional, smooth parallelizable Riemannian manifold (N,G) endowed with a teleparallel connection ∇ determined by a choice of a global basis of vector fields…
Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort et al.Jul 18, 2022
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Variational analysis in one and two dimensions of a frustrated spin system: chirality transitions and magnetic anisotropic transitions
We study the energy of a ferromagnetic/antiferromagnetic frustrated spin system with values on two disjoint circumferences of the 3-dimensional unit sphere in a one-dimensional and two-dimensional…
Andrea Kubin, Lorenzo LambertiJul 18, 2022
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Winding Number Statistics for Chiral Random Matrices: Averaging Ratios of Determinants with Parametric Dependence
Topological invariance is a powerful concept in different branches of physics as they are particularly robust under perturbations. We generalize the ideas of computing the statistics of winding…
Nico Hahn, Mario Kieburg, Omri Gat et al.Jul 18, 2022
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Perturbation theory for the 43 measure, revisited with Hopf algebras
We give a relatively short, almost self-contained proof of the fact that the partition function of the suitably renormalised 43 measure admits an asymptotic expansion, the coefficients of…
Nils Berglund, Tom KloseJul 18, 2022
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