Published June 1992
| Version v1
Journal article
Fokker-Planck equations for eigenstate distributions
Description
A simple model of relaxation phenomena is defined with a variable strength of interaction, where the interaction term is given by a Gaussian unitrary ensemble. A set of Fokker-Planck equations are derived which describe the gradual delocalization of the eigenstates with respect to the unperturbed energy with increasing strength of interaction. The effect of localization on the time evolution in the model is a nonergodic property: The system has a memory of the initial state. (orig.)
Additional details
Publishing Information
- Journal Title
- Letters in Mathematical Physics
- Journal Volume
- 25
- Journal Issue
- 2
- Journal Page Range
- p. 161-174.
- ISSN
- 0377-9017
- CODEN
- LMPHDY
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- Netherlands
- INIS RN
- 24016840
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- DE-EXCITATION; EIGENSTATES; EIGENVALUES; ENERGY SPECTRA; ENERGY-LEVEL DENSITY; ERGODIC HYPOTHESIS; EXCITED STATES; EXPECTATION VALUE; FOKKER-PLANCK EQUATION; HAMILTONIANS; HILBERT SPACE; IRREVERSIBLE PROCESSES; LEVEL WIDTHS; QUANTUM MECHANICS; RANDOMNESS; RELAXATION; STATISTICAL MODELS; STOCHASTIC PROCESSES; TIME DEPENDENCE
- Descriptors DEC
- BANACH SPACE; DIFFERENTIAL EQUATIONS; ENERGY LEVELS; ENERGY-LEVEL TRANSITIONS; EQUATIONS; HYPOTHESIS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS; SPACE; SPECTRA