Even and odd generalized hypergeometric coherent states

2014/06/11 by Won Sang Chung, Chung, Won Sang, Mahouton Norbert Hounkonnou +3
Mathematics · Physics and Astronomy · #Advanced Mathematical Identities #FOS: Physical sciences #Mathematical Physics (math-ph) #Mathematical functions and polynomials #Quantum Mechanics and Non-Hermitian Physics #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1406.3004

arxiv created 2014/06/11 · openalex publication_date 2014/06/11 · arxiv updated 2014/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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, (a₁,⋯,a_p) and (b₁,⋯,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.

Citations

• The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue

Related

• Generalized hypergeometric coherent states for special functions: mathematical and physical properties
• An application of the theta operator in generalized hypergeometric coherent states formalism
• Nonlinear coherent states associated with a measure on the positive real half line
• Coherent states in Quantum Optics: An oriented overview
• Generalized intelligent states and SU(1,1) and SU(2) squeezing