PSEUDO-DIFFUSION EQUATION AND INFORMATION ENTROPY OF SQUEEZED-COHERENT STATES

As the squeezed-coherent states are labeled by 3-tuple, the momentum, the coordinate and the squeeze parameter, a phase space probability di stribution function associated with a generic wavefunction can be intr oduced. We verify that this probability function is the solution of a partial differential equation, the pseudo-diffusion equation, hence pe rmitting to extend the concept of information entropy, as introduced b y Wehrl for the coherent states, to the squeezed-coherent states. It i s shown that the entropy functionals can be used as a measure of quant um correlations between the phase space variables, for a given wavefun ction; we also present several properties and discuss the use of the e ntropic inequality as a concept that complements the Heisenberg uncert ainty relationship.