Spectral analysis of some non-normal operators arising in Reggeon field theoryIn this work, we present a complete spectral study of a family of non-normal operators arising in Reggeon field theory. This family of operators is an original example who permit us to discover the…Abdelkader Intissar·Dec 29, 2022SaveLearn
Failure of scattering for the NLSE with a point interaction in dimension two and threeIn this paper we consider the NLS equation with power nonlinearity and a point interaction (a "δ-potential" in the physical literature) in dimension two and three. We will show that for low…C. Cacciapuoti, D. Finco, D. Noja·Dec 29, 2022SaveLearn
Almost Quartic Lower Bound for the Fr\"ohlich Polaron's Effective Mass via Gaussian DominationWe prove the Fr\"ohlich polaron has effective mass at least α4( α)6 when the coupling strength α is large. This nearly matches the quartic growth rate…Mark Sellke·Dec 28, 2022SaveLearn
Comparing the spectrum of Schr\"odinger operators on quantum graphsWe study Schr\"odinger operators on compact finite metric graphs subject to δ-coupling and standard boundary conditions. We compare the n-th eigenvalues of those self-adjoint realizations…Patrizio Bifulco, Joachim Kerner·Dec 28, 2022SaveLearn
Duality family of KdV equationIt is revealed that there exist duality families of the KdV type equation. A duality family consists of an infinite number of generalized KdV (GKdV) equations. A duality transformation relates the…Xin Gu, Yuan-Yuan Liu, Wen-Du Li et al.·Dec 28, 2022SaveLearn
Properties of some elliptic Hill's potentialsWe study Hill's differential equation with potential expressed by elliptic functions which arises in some problems of physics and mathematics. Analytical method can be applied to study the local…Wei He, Peng Su·Dec 28, 2022SaveLearn
Acoustic Equation in a Lossy MediumHere, the acoustic equation for a lossy medium is derived from the first principle from the linearized compressible Navier-Stokes equation without Stokes' hypothesis. The dispersion relation of the…Tapan K. Sengupta, Prasannabalaji Sundaram, Aditi Sengupta·Dec 28, 2022SaveLearn
Ronkin/Zeta CorrespondenceThe Ronkin function was defined by Ronkin in the consideration of the zeros of almost periodic function. Recently, this function has been used in various research fields in mathematics, physics and…Takashi Komatsu, Norio Konno, Iwao Sato et al.·Dec 28, 2022SaveLearn
Functorial Statistical Physics: Feynman--Kac Formulae and Information GeometriesThe main results of this paper comprise proofs of the following two related facts: (i) the Feynman--Kac formula is a functor F*, namely, between a stochastic differential equation and a dynamical…Dalton A R Sakthivadivel·Dec 27, 2022SaveLearn
q-deformed coherent states associated with the sequence xnq,α =(1+α qn-1)[n]qWe introduce new generalized q-deformed coherent states (q-CS) by replacing the q-factorial of [n]q! in the series expansion of the classical q-CS by the generalized factorial…Othmane El Moize, Zouhaïr Mouayn, Khalid Ahbli·Dec 27, 2022SaveLearn
Volterra-Prabhakar derivative of distributed order and some applicationsThe paper studies the exact solution of two kinds of generalized Fokker-Planck equations in which the integral kernels are given either by the distributed order function $k1(t) = ∫01…K. Górska, T. Pietrzak, T. Sandev et al.·Dec 27, 2022SaveLearn
Cyclic cocycles and quantized pairings in materials scienceThe pairings between the cyclic cohomologies and the K-theories of separable C-algebras supply topological invariants that often relate to physical response coefficients of materials. Using…Emil Prodan·Dec 27, 2022SaveLearn
Efficient method for calculating the eigenvalue of the Zakharov-Shabat systemIn this paper, a numerical method is proposed to calculate the eigenvalues of the Zakharov-Shabat system based on Chebyshev polynomials. A mapping in the form of tanh(ax) is constructed according to…Shikun Cui, Zhen Wang·Dec 27, 2022SaveLearn
Stability of selfsimilar solutions to the fragmentation equation with polynomial daughter fragments distributionWe study fragmentation equations with power-law fragmentation rates and polynomial daughter fragments distribution function p(s). The corresponding selfsimillar solutions are analysed and their…M. A. Fontelos·Dec 27, 2022SaveLearn
Scalar Curvature of the Quantum Exponential Family for the Transverse-Field Ising Model and the Quantum Phase TransitionUnlike for classical many-body systems, the scalar curvature of the exponential family for quantum many-body systems has been not so investigated, and its physical meaning remains unclear. In this…Takemi Nakamura·Dec 25, 2022SaveLearn
An extension of the U\!(1) BF theory, Turaev-Viro invariant and Drinfeld center construction. Part I: Quantum fields, quantum currents and Pontryagin dualityIn this first of a series of articles dedicated to natural extensions of the U(1) BF theory, abelian Turaev-Viro (TV) construction and corresponding Drinfeld center construction for any closed…Emil Høssjer, Philippe Mathieu, Frank Thuillier·Dec 25, 2022SaveLearn
Integral formulation of Klein-Gordon singular waveguidesWe consider the analysis of singular waveguides separating insulating phases in two-space dimensions. The insulating domains are modeled by a massive Schr\"odinger equation and the singular waveguide…Guillaume Bal, Jeremy Hoskins, Solomon Quinn et al.·Dec 23, 2022SaveLearn
On global in time self-similar solutions of Smoluchowski equation with multiplicative kernelWe study the similarity solutions (SS) of Smoluchowski coagulation equation with multiplicative kernel K(x,y)=(xy)s for s<12. When s<0% , the SS consists of three regions with…G. Breschi, M. A. Fontelos·Dec 23, 2022SaveLearn
Differences between Robin and Neumann eigenvalues on metric graphsWe consider the Laplacian on a metric graph, equipped with Robin (δ-type) vertex condition at some of the graph vertices and Neumann-Kirchhoff condition at all others. The corresponding…Ram Band, Holger Schanz, Gilad Sofer·Dec 23, 2022SaveLearn
Stable defect states in the continuous spectrum of bilayer graphene with magnetic fieldIn a tight-binding model of AA-stacked bilayer graphene, it is demonstrated that a bound defect state within the region of continuous spectrum can exist stably with respect to variations in the…Stephen P. Shipman, Jorge Villalobos·Dec 23, 2022SaveLearn
Quantum Bianchi-VII problem, Mathieu functions and arithmeticThe geodesic problem on the compact threefolds with the Riemannian metric of Bianchi-VII0 type is studied in both classical and quantum cases. We show that the problem is integrable and describe…A. P. Veselov, Y. Ye·Dec 22, 2022SaveLearn
On boundedness of isomerization paths for non- and semirelativistic moleculesThis article focuses on isomerizations of molecules, i.e. chemical reactions during which a molecule is transformed into another one with the same atoms in a different spatial configuration. We…Ioannis Anapolitanos, Marco Olivieri, Sylvain Zalczer·Dec 22, 2022SaveLearn
Classical gases with singular densitiesWe study classical continuous systems with singular distributions of velocities. Radon measures with the infinite mass give these distributions. Positions of particles in such systems are no longer…Luca Di Persio, Yuri Kondratiev, Viktorya Vardanyan·Dec 22, 2022SaveLearn
A Nonvanishing Spectral Gap for AKLT Models on Generalized Decorated GraphsWe consider the spectral gap question for AKLT models defined on decorated versions of simple, connected graphs G. This class of decorated graphs, which are defined by replacing all edges of G with…Angelo Lucia, Amanda Young·Dec 22, 2022SaveLearn
An optimal upper bound for the dilute Fermi gas in three dimensionsIn a system of interacting fermions, the correlation energy is defined as the difference between the energy of the ground state and the one of the free Fermi gas. We consider N interacting spin…Emanuela L. Giacomelli·Dec 22, 2022SaveLearn