Pseudo-diffusion equation and information entropy of squeezed-coherent states

Salomon S. Mizrahi and Marcelo A. Marchiolli

Physica A: Statistical Mechanics and its Applications, 1993, vol. 199, issue 1, 96-115

Abstract: As the squeezed-coherent states are labeled by 3-tuple, the momentum, the coordinate and the squeeze parameter, a phase space probability distribution function associated with a generic wavefunction can be introduced. We verify that this probability function is the solution of a partial differential equation, the pseudo-diffusion equation, hence permitting to extend the concept of information entropy, as introduced by Wehrl for the coherent states, to the squeezed-coherent states. It is shown that the entropy functionals can be used as a measure of quantum correlations between the phase space variables, for a given wavefunction; we also present several properties and discuss the use of the entropic inequality as a concept that complements the Heisenberg uncertainty relationship.

Date: 1993
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:199:y:1993:i:1:p:96-115

DOI: 10.1016/0378-4371(93)90100-I

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