DIFFUSION PROCESSES AND COHERENT STATES
SALVATORE DE MARTINO, SILVIO DE SIENA, GIUSEPPE VITIELLO +1 more
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.
arXiv:cond-mat/9407100•Modern Physics Letters B•Jul 10, 1994•8 citations