Constructing generalized hypergeometric coherent states by diagonal ordering operation technique

Abstract

This work deals with the diagonal ordering operation technique (DOOT) applied to generate generalized hypergeometric coherent states for special functions (GHCSs-SF), and to generalized photon added hypergeometric coherent states (GPAH-CSs). For every set of coherent states, the density operator for mixed (thermal) states is formulated with its P-representation provided from the DOOT method, and the associated mathematical and physical properties are analyzed. In addition, the thermodynamic properties are studied from the expression of the density operator obtained for each representation of the corresponding class of coherent states.