Minimum Uncertainty, Coherence and Squeezing in Diffusion Processes, and Stochastic Quantization
Salvatore De Martino, Silvio De Siena, Fabrizio Illuminati, Giuseppe Vitiello
Abstract
We show that uncertainty relations, as well as minimum uncertainty coherent and squeezed states, are structural properties for diffusion processes. Through Nelson stochastic quantization we derive the stochastic image of the quantum mechanical coherent and squeezed states.
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