Results 81 to 90 of about 2,696,066 (112)

Exactly solvable model of a slightly fluctuating ratchet.

Physical Review E, 2021
We consider the motion of a Brownian particle in a sawtooth potential dichotomously modulated by a spatially harmonic perturbation. An explicit expression for the Laplace transform of the Green function of an extremely asymmetric sawtooth potential is ...
V. M. Rozenbaum, T. Korochkova, I. V. Shapochkina, L. Trakhtenberg   +3 more
semanticscholar   +1 more source

Dynamical freezing in exactly solvable models of driven chaotic quantum dots

Physical Review Letters
The late-time equilibrium behavior of generic interacting models is determined by the coupled hydrodynamic equations associated with the globally conserved quantities.
Haoyu Guo, Rohit Mukherjee, Debanjan Chowdhury   +2 more
semanticscholar   +1 more source

An Introduction to Integrable Techniques for One-Dimensional Quantum Systems

, 2016
This monograph introduces the reader to basic notions of integrable techniques for one-dimensional quantum systems. In a pedagogical way, a few examples of exactly solvable models are worked out to go from the coordinate approach to the Algebraic Bethe ...
F. Franchini
semanticscholar   +1 more source

Spectrum-preserving deformations of integrable spin chains with open boundaries

Physical review B
We discover a family of local deformations that leave part of the spectrum intact for strongly interacting and exactly solvable quantum many-body systems.
Yunfeng Jiang, Y. Miao
semanticscholar   +1 more source

Back-of-the-Envelope Quantum Mechanics:With Extensions to Many-Body Systems and Integrable PDEs

, 2013
WKB Approximation "Halved" Harmonic Oscillator: A Case Study Perturbation Theory Variational Problems Gravitational Well: A Case Study Some Exotic Exactly Solvable Problems Mean-Field Theories Integrable Nonlinear Partial Differential Equations.
M. Olshanii
semanticscholar   +1 more source

Nonlinear dynamics of nonautonomous solitons in external potentials expressed by time-varying power series: exactly solvable higher-order nonlinear and dispersive models

Nonlinear dynamics, 2021
T. Belyaeva, V. Serkin
semanticscholar   +2 more sources

Exact Solutions of Quasi-exactly Solvable Quantum Systems

, 2014
In this work, we present quasi-exact solutions for classes of quantum mechanical models, namely the anharmonic singular potential, the generalized quantum isotonic oscillator, the soft-core Coulomb potential, non-polynomially modified oscillator, integer
A. D. Agboola
semanticscholar   +1 more source

Exactly solvable three-level quantum dissipative systems via bosonization of fermion gas-impurity models

, 2010
We study the relationship between one-dimensional fermion gas-impurity models and quantum dissipative systems, via the method of constructive bosonization and unitary transformation.
Sol H. Jacobsen, P. Jarvis
semanticscholar   +1 more source

A Lambert-W Exactly Solvable Level-Crossing Confluent Hypergeometric Two-State Model

Journal of Contemporary Physics (Armenian Academy of Sciences), 2019
Т. А. Ishkhanyan
semanticscholar   +2 more sources

Note On Eisenstein’s System of Differential Equations: An Example of “Exactly Solvable But Not Completely Integrable System of Differential Equations”

Classical and Quantum Models and Arithmetic Problems, 2018
D. Chudnovsky, G. Chudnovsky
semanticscholar   +1 more source