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Diffusion Processes and Coherent States

S. De Martino·S. De Siena·F. Illuminati·G. Vitiello
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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.

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S. De Martino, S. De Siena, F. Illuminati, G. Vitiello. 1994-07-25. Diffusion Processes and Coherent States. https://doi.org/10.1142/s0217984994000984

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