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Mathematical Physics papers — page 210

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The B2 Harmonic Oscillator with Reflections and Superintegrability
The two-dimensional quantum harmonic oscillator is modified with reflection terms associated with the action of the Coxeter group B2, which is the symmetry group of the square. The angular…
Charles F. DunklOct 25, 2022
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An approach to the Gaussian RBF kernels via Fock spaces
We use methods from the Fock space and Segal-Bargmann theories to prove several results on the Gaussian RBF kernel in complex analysis. The latter is one of the most used kernels in modern machine…
Daniel Alpay, Fabrizio Colombo, Kamal Diki et al.Oct 25, 2022
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Stationary solutions of semilinear Schr\"odinger equations with trapping potentials in supercritical dimensions
Nonlinear Schr\"odinger equations are usually investigated with the use of the variational methods that are limited to energy-subcritical dimensions. Here we present the approach based on the…
Filip FicekOct 25, 2022
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Disk counting statistics near hard edges of random normal matrices: the multi-component regime
We consider a two-dimensional point process whose points are separated into two disjoint components by a hard wall, and study the multivariate moment generating function of the corresponding disk…
Yacin Ameur, Christophe Charlier, Joakim Cronvall et al.Oct 25, 2022
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The two-dimensional Coulomb gas: fluctuations through a spectral gap
We study a class of radially symmetric Coulomb gas ensembles at inverse temperature β=2, for which the droplet consists of a number of concentric annuli, having at least one bounded ``gap''…
Yacin Ameur, Christophe Charlier, Joakim CronvallOct 25, 2022
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Einstein Algebras in a Categorical Context
According to the basic idea of category theory, any Einstein algebra, essentially an algebraic formulation of general relativity, can be considered from the point of view of any object of the…
Leszek Pysiak, Wiesław Sasin, Michael Heller et al.Oct 25, 2022
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Translations in affine Weyl groups and their applications in discrete integrable systems
In this paper, we review the properties and representations of the Weyl groups relevant in the study of discrete integrable systems. Previously in jns4, Shi:19, properties of Weyl groups of…
Yang ShiOct 25, 2022
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Canonical forms of metric graph eikonal algebra and graph geometry
The algebra of eikonals E of a metric graph is an operator C*-algebra determined by dynamical system with boundary control that describes wave propagation on the graph. In…
M. I. Belishev, A. V. KaplunOct 24, 2022
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On Uhlmann's proof of the Monotonicity of the Relative Entropy
This article presents in a self-contained way A. Uhlmann's celebrated Theorem of monotonicity of the relative entropy under completely positive and trace preserving maps. The Theorem is presented in…
Juan Manuel Pérez-PardoOct 24, 2022
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Loop braid groups and integrable models
Loop braid groups characterize the exchange of extended objects, namely loops, in three dimensional space generalizing the notion of braid groups that describe the exchange of point particles in two…
Pramod Padmanabhan, Abhishek ChowdhuryOct 24, 2022
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Khoroshkin-Tolstoy approach for quantum superalgebras
The central object of the quantum algebraic approach to the study of quantum integrable models is the universal R-matrix, which is an element of a completed tensor product of two copies of quantum…
A. V. RazumovOct 23, 2022
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Bifurcation of frozen orbits in a gravity field with zonal harmonics
We propose a methodology to study the bifurcation sequences of frozen orbits when the 2nd-order fundamental model of the satellite problem is augmented with the contribution of octupolar terms and…
Irene Cavallari, Giuseppe PucaccoOct 21, 2022
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Linear and fractional response for nonlinear dissipative SPDEs
A framework to establish response theory for a class of nonlinear stochastic partial differential equations (SPDEs) is provided. More specifically, it is shown that for a certain class of…
Giulia Carigi, Tobias Kuna, Jochen BröckerOct 21, 2022
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Perturbation of eigenvalues of the Klein Gordon operators II
We give estimates for the changes of the eigenvalues of the Klein Gordon operator under the change of the potential. In some relevant situations we improve the existing estimates. We test our results…
Krešimi VeselićOct 20, 2022
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Spherical and Planar Ball Bearings -- a Study of Integrable Cases
We consider the nonholonomic systems of n homogeneous balls B1,…, Bn with the same radius r that are rolling without slipping about a fixed sphere S0 with center…
Vladimir Dragović, Borislav Gajić, Božidar JovanovićOct 20, 2022
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The Wasserstein distance of order 1 for quantum spin systems on infinite lattices
We propose a generalization of the Wasserstein distance of order 1 to quantum spin systems on the lattice Zd, which we call specific quantum W1 distance. The proposal is based on the…
Giacomo De Palma, Dario TrevisanOct 20, 2022
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Moments of random quantum marginals via Weingarten calculus
The randomized quantum marginal problem asks about the joint distribution of the partial traces ("marginals") of a uniform random Hermitian operator with fixed spectrum acting on a space of tensors.…
Sho Matsumoto, Colin McSwiggenOct 20, 2022
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A fully pseudo-bosonic Swanson model
We consider a fully pseudo-bosonic Swanson model and we show how its Hamiltonian H can be diagonalized. We also deduce the eigensystem of H, using the general framework and results…
Fabio BagarelloOct 20, 2022
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The flow method for the Baker-Campbell-Hausdorff formula: exact results
Leveraging techniques from the literature on geometric numerical integration, we propose a new general method to compute exact expressions for the BCH formula. In its utmost generality, the method…
Federico Zadra, Alessandro Bravetti, Angel Alejandro García-Chung et al.Oct 20, 2022
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Lecture notes on Legendre polynomials: their origin and main properties
It is well-known that separation of variables in 2nd order partial differential equations (PDEs) for physical problems with spherical symmetry usually leads to Cauchy's differential equation for the…
F. M. S. LimaOct 20, 2022
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Spectral theory of p-adic Hermite operator
We give the definition of p-adic Hermite operator and set up the p-adic spectral measure. We compare the Archimedean case with non-Archimedean case. The structure of Hermite conjugate in…
Tianhong ZhaoOct 20, 2022
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Strict deformation quantization and local spin interactions
We define a strict deformation quantization which is compatible with any Hamiltonian with local spin interaction (e.g. the Heisenberg Hamiltonian) for a spin chain. This is a generalization of…
Nicolò Drago, Christiaan J. F. van de VenOct 19, 2022
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Scattering for Schr\"odinger operators with conical decay
We study the scattering properties of Schr\"odinger operators with potentials that have short-range decay along a collection of rays in d. This generalizes the classical setting of…
Adam Black, Tal MalinovitchOct 19, 2022
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Bloch varieties and quantum ergodicity for periodic graph operators
For periodic graph operators, we establish criteria to determine the overlaps of spectral band functions based on Bloch varieties. One criterion states that for a large family of periodic graph…
Wencai LiuOct 19, 2022
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Relative Entropy for Fermionic Quantum Field Theory
We study the relative entropy, in the sense of Araki, for the representation of a self-dual CAR algebra ASDC(H,). We notice, for a specific choice of $f ∈…
Stefano GalandaOct 18, 2022
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