Related Experiment Video
Updated: May 15, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Generalized Klein-Kramers equations
1Departamento de Física, Universidade Estadual de Maringá, Av. Colombo 5790, 87020-900 Maringá, PR, Brazil. kwok@dfi.uem.br
Abstract:
A generalized Klein-Kramers equation for a particle interacting with an external field is proposed. The equation generalizes the fractional Klein-Kramers equation introduced by Barkai and Silbey [J. Phys. Chem. B 104, 3866 (2000)]. Besides, the generalized Klein-Kramers equation can also recover the integro-differential Klein-Kramers equation for continuous-time random walk; this means that it can describe the subdiffusive and superdiffusive regimes in the long-time limit. Moreover, analytic solutions for first two moments both in velocity and displacement (for force-free case) are obtained, and their dynamic behaviors are investigated.
More Related Videos
Related Concept Videos
Reduced Mass Coordinates: Isolated Two-body Problem
The Quantum-Mechanical Model of an Atom
The Equilibrium Constant
Differential Form of Maxwell's Equations
Symmetry in Maxwell's Equations
Generalized Hooke's Law

