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Mathematical Physics papers — page 240

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Discrete honeycombs, rational edges and edge states
Consider the tight binding model of graphene, sharply terminated along an edge l parallel to a direction of translational symmetry of the underlying period lattice. We classify such edges…
C. L. Fefferman, S. Fliss, M. I. WeinsteinMar 7, 2022
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Hamilton-Jacobi approach to thermodynamic transformations
In this note, we formulate and study a Hamilton-Jacobi approach for describing thermodynamic transformations. The thermodynamic phase space assumes the structure of a contact manifold with the points…
Aritra GhoshMar 7, 2022
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Bogoliubov Theory in the Gross-Pitaevskii Limit: a Simplified Approach
We show that Bogoliubov theory correctly predicts the low-energy spectral properties of Bose gases in the Gross-Pitaevskii regime. We recover recent results from BBCS,BBCS4. While our main…
Christian Hainzl, Benjamin Schlein, Arnaud TriayMar 7, 2022
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Characterizing Schwarz maps by tracial inequalities
Let ϕ be a linear map from the n× n matrices Mn to the m× m matrices Mm. It is known that ϕ is 2-positive if and only if for all K∈ Mn…
Eric A. Carlen, Alexander Müller-HermesMar 7, 2022
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Shape of eigenvectors for the decaying potential model
We consider the 1d Schrödinger operator with decaying random potential, and study the joint scaling limit of the eigenvalues and the measures associated with the corresponding eigenfunctions which is…
Fumihiko NakanoMar 7, 2022
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Pizzetti formulae and the Radon Transform on the Sphere
In this paper, we obtain Pizzetti-type formulae on regions of the the unit sphere Sm-1 of Rm, and study their applications to the problem of inverting the spherical Radon…
Alí Guzmán Adán, Mihaela B. VajiacMar 7, 2022
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A generalised time-evolution model for contact problems with wear and its analysis
In this paper, we revisit some classical and recent works on modelling slide-contact with wear and propose their generalisation. Namely, we upgrade the relation between the pressure and the wear rate…
Dmitry PonomarevMar 6, 2022
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Landau-Ginzburg mirror, quantum differential equations and qKZ difference equations for a partial flag variety
We consider the system of quantum differential equations for a partial flag variety and construct a basis of solutions in the form of multidimensional hypergeometric functions, that is, we construct…
Vitaly Tarasov, Alexander VarchenkoMar 6, 2022
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Propagation of moments for large data and semiclassical limit to the relativistic Vlasov equation
We investigate the semiclassical limit from the semi-relativistic Hartree-Fock equation describing the time evolution of a system of fermions in the mean-field regime with a relativistic dispersion…
Nikolai Leopold, Chiara SaffirioMar 6, 2022
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Laplace and Dirac Operators on Graphs
Discrete versions of the Laplace and Dirac operators haven been studied in the context of combinatorial models of statistical mechanics and quantum field theory. In this paper we introduce several…
Beata Casiday, Ivan Contreras, Thomas Meyer et al.Mar 5, 2022
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The generalized Marchenko method in the inverse scattering problem for a first-order linear system
The Marchenko method is developed in the inverse scattering problem for a linear system of first-order differential equations containing potentials proportional to the spectral parameter. The…
T. Aktosun, R. ErcanMar 5, 2022
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The Fragmentation Kernel in Multinary/Multicomponent Fragmentation
The fragmentation equation is commonly expressed in terms of two functions, the rate of fragmentation and the mean number of fragments. In the case of binary fragmentation an alternative description…
Themis MatsoukasMar 5, 2022
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Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron
We consider the large polaron described by the Fr\"ohlich Hamiltonian and study its energy-momentum relation defined as the lowest possible energy as a function of the total momentum. Using a…
David Mitrouskas, Krzysztof Myśliwy, Robert SeiringerMar 4, 2022
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Family of asymptotic solutions to the two-dimensional kinetic equation with a nonlocal cubic nonlinearity
We apply the original semiclassical approach to the kinetic ionization equation with the nonlocal cubic nonlinearity in order to construct the family of its asymptotic solutions. The approach…
Alexander V. Shapovalov, Anton E. Kulagin, Sergei A. SiniukovMar 4, 2022
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Galton-Watson trees with first ancestor interaction
We consider the set of random Bienaymé-Galton-Watson trees with a bounded number of offspring and bounded number of generations as a statistical mechanics model: a random tree is a rooted subtree of…
Francois Dunlop, Arif MardinMar 4, 2022
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Law of Large Numbers for Random Quantum Dynamical Semigroups
We present a Law of Large Numbers principle for uniformly continuous random quantum dynamical semigroups. Random iterates of independent copies of these semigroups are shown to be Chernoff equivalent…
John E. Gough, Yurii N. Orlov, Vsevolod Zh. Sakbaev et al.Mar 4, 2022
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Moments dynamics and stationary states for classical diffusion-type GKSL equations
The explicit dynamics of the moments for the GKSL equation and the approach in finding stationary Gaussian states are obtained. In our case the GKSL equation corresponds to Wiener stochastic…
D. D. Ivanov, A. E. TeretenkovMar 3, 2022
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Chirality in Affine Spaces and in Spacetime
An object is chiral when its symmetry group contains no indirect isometry. It can be difficult to classify isometries as direct or indirect, except in the Euclidean case. We classify them with the…
Michel PetitjeanMar 3, 2022
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A second order upper bound on the ground state energy of a Bose gas beyond the Gross-Pitaevskii regime
We consider a system of N bosons in a unitary box in the grand-canonical setting interacting through a potential with scattering length scaling as N-1+κ, κ∈ (0,2/3). This regimes…
Giulia BastiMar 3, 2022
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Clusters of resonances for a non-selfadjoint multichannel discrete Schr\"odinger operator
We study the distribution of resonances for discrete Hamiltonians of the form H0+V near the thresholds of the spectrum of H0. Here, the unperturbed operator H0 is a multichannel Laplace type…
Marouane Assal, Olivier Bourget, Pablo Miranda et al.Mar 2, 2022
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Periodic striped states in Ising models with dipolar interactions
We review the problem of determining the ground states of 2D Ising models with nearest neighbor ferromagnetic and dipolar interactions, and prove a new result supporting the conjecture that, if the…
Davide Fermi, Alessandro GiulianiMar 2, 2022
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Principal Eigenvalue and Landscape Function of the Anderson Model on a Large Box
We state a precise formulation of a conjecture concerning the product of the principal eigenvalue and the sup-norm of the landscape function of the Anderson model restricted to a large box. We first…
Daniel Sánchez-MendozaMar 2, 2022
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Macroscopic behaviour in a two-species exclusion process via the method of matched asymptotics
We consider a two-species simple exclusion process on a periodic lattice. We use the method of matched asymptotics to derive evolution equations for the two population densities in the dilute regime,…
James Mason, Robert L Jack, Maria BrunaMar 2, 2022
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From Short-Range to Mean-Field Models in Quantum Lattices
Realistic effective interparticle interactions of quantum many-body systems are widely seen as being short-range. However, the rigorous mathematical analysis of this type of model turns out to be…
J. -B. Bru, W. de Siqueira Pedra, K. Rodrigues AlvesMar 2, 2022
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On symbol correspondences for quark systems I: Characterizations
We present the characterizations of symbol correspondences for mechanical systems that are symmetric by SU(3), which we refer to as quark systems. The quantum quark systems are the unitary…
P. A. S. Alcântara, P. de M. RiosMar 1, 2022
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