Even and odd generalized hypergeometric coherent states

Won Sang Chung; Mahouton Norbert Hounkonnou; Sama Arjika

paper

Even and odd generalized hypergeometric coherent states

arXiv:1406.3004

Abstract

In this paper, we investigate a large class of generalized hypergeometric states $∣ p, q, z ⟩$ , depending on a complex variable $z$ and two sets of parameters, $(a_{1}, \dots, a_{p})$ and $(b_{1}, \dots, b_{q})$ . Even and odd generalized hypergeometric states $∣ p, q, z ⟩_{e}$ and $∣ p, q, z ⟩_{o}$ are also defined and analyzed. The moment problem is solved by the Mellin transform techniques. For particular values of $p$ and $q$ , the photon-counting statistics, quantum optical properties and geometry of these states are discussed.