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arXiv:cond-mat/9407100 · Modern Physics Letters B

DIFFUSION PROCESSES AND COHERENT STATES

SALVATORE DE MARTINO, SILVIO DE SIENA, GIUSEPPE VITIELLO, FABRIZIO ILLUMINATI

Published Jul 10, 1994• 8 citations
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Abstract

It is shown that uncertanity relations, as well as coherent and squeezed states, are structural properties of stochastic processes with Fokker–Planck dynamics. The quantum mechanical coherent and squeezed states are explicitly constructed via Nelson stochastic quantization. The method is applied to derive new minimum uncertainty states in time-dependent oscillator potentials.

DOI
10.1142/s0217984994000984

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