From fractal R-L ladder networks to the diffusion equationWe give a self-contained presentation of fractal R-L ladder networks as well as a detailed computation of the admittance of these systems. We also discuss the conditions under which such systems…Jacky Cresson, Anna Szafranska·Apr 12, 2023SaveLearn
Resonance free domain for Schr\"odinger operators with repulsive potentialWe study resonances for the Schr\"odinger operators with quadratic or sub-quadratic repulsive potential. In the present paper, we show the non-existence of resonances in some complex neighborhood of…K. Itakura·Apr 12, 2023SaveLearn
Spectral analysis of an open q-difference Toda chain with two-sided boundary interactions on the finite integer latticeA quantum n-particle model consisting of an open q-difference Toda chain with two-sided boundary interactions is placed on a finite integer lattice. The spectrum and eigenbasis are computed by…Jan Felipe van Diejen·Apr 11, 2023SaveLearn
Simulations of quantum dynamics with fermionic phase-space representations using numerical matrix factorizations as stochastic gaugesThe Gaussian phase-space representation can be used to implement quantum dynamics for fermionic particles numerically. To improve numerical results, we explore the use of dynamical diffusion gauges…F Rousse, M Fasi, A Dmytryshyn et al.·Apr 11, 2023SaveLearn
Dynamical symmetries of supersymmetric oscillatorsIn this paper, we describe the dynamical symmetries of classical supersymmetric oscillators in one and two spatial (bosonic) dimensions. Our main ingredient is a generalized Poisson bracket which is…Akash Sinha, Aritra Ghosh, Bijan Bagchi·Apr 10, 2023SaveLearn
Special Cosserat rods with rate-dependent evolving natural configurationsWe present a nonlinear, geometrically exact, and thermodynamically consistent framework for modeling special Cosserat rods with evolving natural configurations. In contrast to the common usage of the…K. R. Rajagopal, C. Rodriguez·Apr 10, 2023SaveLearn
Mathematical aspects of the Kubo formula for electrical conductivity with dissipationIn this expository article, we present a systematic formal derivation of the Kubo formula for the linear-response current due to a time-harmonic electric field applied to non-interacting, spinless…Alexander B. Watson, Dionisios Margetis, Mitchell Luskin·Apr 9, 2023SaveLearn
Gaussian Unitary Ensembles with Jump Discontinuities, PDEs and the Coupled Painlev\'e IV SystemWe study the Hankel determinant generated by the Gaussian weight with jump discontinuities at t1,·s,tm. By making use of a pair of ladder operators satisfied by the associated monic…Yang Chen, Shulin Lyu·Apr 9, 2023SaveLearn
Propagation and dispersion of Bloch waves in periodic media with soft inclusionsWe investigate the behavior of waves in a periodic medium containing small soft inclusions or cavities of arbitrary shape, such that the homogeneous Dirichlet conditions are satisfied at the…Yuri A. Godin, Boris Vainberg·Apr 7, 2023SaveLearn
On the renormalization group fixed point of the two-dimensional Ising model at criticalityWe analyze the renormalization group fixed point of the two-dimensional Ising model at criticality. In contrast with expectations from tensor network renormalization (TNR), we show that a simple,…Tobias J. Osborne, Alexander Stottmeister·Apr 6, 2023SaveLearn
Nonlinear PDE models in semi-relativistic quantum physicsWe present the self-consistent Pauli equation, a semi-relativistic model for charged spin-1/2-particles with self-interaction with the electromagnetic field. The Pauli equation arises as the…Jakob Möller, Norbert J. Mauser·Apr 6, 2023SaveLearn
Quantum resonances and analysis of the survival amplitude in the nonlinear Winter's modelIn this paper we show that the typical effects of quantum resonances, namely, the exponential-type decay of the survival amplitude, continue to exist even when a nonlinear perturbative term is added…Andrea Sacchetti·Apr 6, 2023SaveLearn
DLR-KMS correspondence on lattice spin systemsThe Dobrushin-Lanford-Ruelle (DLR) condition and the classical Kubo-Martin-Schwinger (KMS) condition are considered in the context of classical lattice systems. In particular, we prove that these…Nicolò Drago, Christiaan J. F. van de Ven·Apr 6, 2023SaveLearn
Matrix models for the nested hypergeometric tau-functionsWe introduce and investigate a family of tau-functions of the 2D Toda hierarchy, which is a natural generalization of the hypergeometric family associated with Hurwitz numbers. For this family we…Alexander Alexandrov·Apr 6, 2023SaveLearn
Laplace transform of the x-y symplectic transformation formula in Topological RecursionThe functional relation coming from the x-y symplectic transformation of Topological Recursion has a lot of applications, for instance it is the higher order moment-cumulant relation in free…Alexander Hock·Apr 6, 2023SaveLearn
About the notion of eigenstates for C*-algebras and some application in Quantum MechanicsThis work is concerned with the notion of eigenstates for C*-algebras. After reviewing some basic and structural results, we explore the possibility of reinterpreting certain typical concepts of…Giuseppe De Nittis, Danilo Polo·Apr 5, 2023SaveLearn
Unbounded Hamiltonians generated by Parseval framesIn BK Parseval frames were used to define bounded Hamiltonians, both in finite and in infinite dimesional Hilbert spaces. Here we continue this analysis, with a particular focus on the…Fabio Bagarello, Sergiusz Kużel·Apr 5, 2023SaveLearn
Winding number, density of states and accelerationWinding number and density of states are two fundamental physical quantities for non-self-adjoint quasi-periodic Schr\"odinger operators, which reflect the asymptotic distribution of zeros of the…Xueyin Wang, Zhenfu Wang, Jiangong You et al.·Apr 5, 2023SaveLearn
The free energy of dilute Bose gases at low temperaturesWe consider a low density Bose gas interacting through a repulsive potential in the thermodynamic limit. We justify, as a rigorous lower bound, a Lee--Huang--Yang type formula for the free energy at…Florian Haberberger, Christian Hainzl, Phan Thành Nam et al.·Apr 5, 2023SaveLearn
Remarks on the Lie derivative in fluid mechanicsThe invariance theorems obtained in analytical mechanics and derived from Noether's theorems can be adapted to fluid mechanics. For this purpose, it is useful to give a functional representation of…Henri Gouin·Apr 5, 2023SaveLearn
Eigenvalues and threshold rezonances of a two-dimensional split-step quantum walk with strong shiftIn this paper, we derive sufficient conditions for the localization of two-dimensional split-step quantum walks with a strong shift. For this purpose, we analyze the zero points of the function f…Toru Fuda, Daiju Funakawa, Satoshi Sasayama et al.·Apr 5, 2023SaveLearn
Real moments of the logarithmic derivative of characteristic polynomials in random matrix ensemblesWe prove asymptotics for real moments of the logarithmic derivative of characteristic polynomials evaluated at 1-aN in unitary, even orthogonal, and symplectic ensembles, where a>0 and…Fan Ge·Apr 4, 2023SaveLearn
On the Relativistic Spatial Localization for massive real scalar Klein-Gordon quantum particlesI rigorously analyze a proposal, introduced by D.R.Terno, about a spatial localization observable for a Klein-Gordon massive real particle in terms of a Poincar\'e-covariant family of POVMs. I prove…Valter Moretti·Apr 4, 2023SaveLearn
Exact solution of the q-deformed D(1)3 vertex model with open boundariesIn this paper, we study the exact solution of the q-deformed D(1)3 quantum lattice model with non-diagonal open boundary condition. We demonstrate the crossing symmetry of the transfer matrix…Guang-Liang Li, Junpeng Cao, Yi Qiao et al.·Apr 4, 2023SaveLearn
Construction of determinants for the six-vertex model with domain wall boundary conditionsWe consider the problem of construction of determinant formulas for the partition function of the six-vertex model with domain wall boundary conditions. In pioneering works of Korepin and Izergin a…Mikhail D. Minin, Andrei G. Pronko, Vitaly O. Tarasov·Apr 4, 2023SaveLearn