Diffusion Processes and Coherent States
Condensed Matter
2009-10-22 v1 chao-dyn
Chaotic Dynamics
Abstract
It is shown that stochastic processes of diffusion type possess, in all generality, a structure of uncertainty relations and of coherent and squeezed states. This fact is used to obtain, via Nelson stochastic formulation of quantum mechanics, the harmonic-oscillator coherent and squeezed states. The method allows to derive new minimum uncertainty states in time-dependent oscillator potentials and for the Caldirola-Kanai model of quantum damped oscillator.
Cite
@article{arxiv.cond-mat/9407100,
title = {Diffusion Processes and Coherent States},
author = {S. De Martino and S. De Siena and F. Illuminati and G. Vitiello},
journal= {arXiv preprint arXiv:cond-mat/9407100},
year = {2009}
}
Comments
11 pages, plain LaTeX