Statistical properties of the 𝒜κ<0 Weyl–Heisenberg algebra coherent states

Abstract

In this paper, we study the one-parameter [Formula: see text]-generalized oscillator algebra [Formula: see text] (which includes the case of the standard Weyl–Heisenberg algebra). This algebra admits representations of finite-dimensional for negative values of the parameter [Formula: see text]. We construct the associated Perelomov like coherent states. We discuss their statistical properties. In particular, we derive the expressions of the Mandel parameter and Husimi function and we discuss the squeezing of the [Formula: see text] coherent states.