Diffusion Processes and Coherent States

Details Diffusion Processes and Coherent States Diffusion Processes and Coherent States

1994-07-25

arxiv.org/abs/cond-mat/9407100v1

Mod. Phys. Lett. B, 8 (1994) 977

Physics

Condensed Matter

11 pages, plain LaTeX

Scientific paper

10.1142/S0217984994000984

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.

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