Squeezing and quantum groups

Abstract

Generalized quasicoherent states for the Weyl-Heisenberg quantum group have been defined by Biedenharn and MacFarlane. In this Letter other quantum Weyl-Heisenberg coherent states are defined for complex q in the usual Fock space. Such states are shown to exhibit interesting squeezing properties, in particular when \ensuremath{\Vert}q\ensuremath{\Vert}\ensuremath{\approxeq}1, for the q analog to the harmonic oscillator.