Mizrahi, Salomon S.Daboul, Jamil [UNESP]2014-05-272014-05-271992-11-01Physica A: Statistical Mechanics and its Applications, v. 189, n. 3-4, p. 635-650, 1992.0378-4371http://hdl.handle.net/11449/64272We show that the wavefunctions 〈pq; λ|n〈, of the harmonic oscillator in the squeezed state representation, have the generalized Hermite polynomials as their natural orthogonal polynomials. These wavefunctions lead to generalized Poisson Distribution Pn(pq;λ), which satisfy an interesting pseudo-diffusion equation: ∂Pnp,q;λ) ∂λ= 1 4 [ ∂2 ∂p2-( 1 λ2) ∂2 ∂q2]P2(p,q;λ), in which the squeeze parameter λ plays the role of time. Th entropies Sn(λ) have minima at the unsqueezed states (λ=1), which means that squeezing or stretching decreases the correlation between momentum p and position q. © 1992.635-650engSqueezed states, generalized Hermite polynomials and pseudo-diffusion equationArtigo10.1016/0378-4371(92)90066-YAcesso restrito2-s2.0-0008464467