Anomalous diffusion and stochastic localization of damped quantum particles

Authors
Denisov, SI Horsthemke, W
Citation
Si. Denisov et W. Horsthemke, Anomalous diffusion and stochastic localization of damped quantum particles, PHYS LETT A, 282(6), 2001, pp. 367-372
Citations number
22
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS A
ISSN journal
03759601 → ACNP
Volume
282
Issue
6
Year of publication
2001
Pages
367 - 372
Database
ISI
SICI code
0375-9601(20010430)282:6<367:ADASLO>2.0.ZU;2-N
Abstract
Using the Caldirola-Kanai formalism. we study the statistical properties of damped quantum particles driven by an arbitrary stationary noise. We devel op a new method to solve the corresponding time-dependent Schrodinger equat ion and derive exact expressions for the dispersion of the particle coordin ate and the particle velocity. These expressions are used to investigate in detail the phenomena of anomalous diffusion, stochastic localization, and stochastic acceleration. (C) 2001 Elsevier Science B.V. All rights reserved .