Regular Article

Generalized photon-added associated hypergeometric coherent states: characterization and relevant properties

¹ Université de Lomé, Faculté des Sciences, Département de Physique, Laboratoire de Physique des Matériaux et des Composants à Semi-Conducteurs, 01 BP 1515 Lomé 01, Togo
² International Chair in Mathematical Physics and Applications (ICMPA-UNESCO Chair), University of Abomey-Calavi, 072 B.P. 050 Cotonou, Republic of Benin

^a e-mail: antoinekomisodoga@gmail.com

Received: 13 May 2018
Received in final form: 26 July 2018
Published online: 5 October 2018

Abstract

This paper presents the construction of a new set of generalized photon-added coherent states related to associated hypergeometric functions. These states satisfy all required mathematical and physical properties. The associated Stieltjes power-moment problem is explicitly solved by using Meijer’s G-function and the Mellin inversion theorem. Relevant quantum optical and thermal characteristics are investigated. The formalism is applied to particular cases of the associated Hermite, Laguerre, Jacobi polynomials and hypergeometric functions. Their corresponding states exhibit sub-Poissonian photon number statistics.