Some Orthogonal Polynomials Arising from Coherent States

Abstract

We explore in this paper some orthogonal polynomials which are naturally associated to certain families of coherent states, often referred to as nonlinear coherent states in the quantum optics literature. Some examples turn out to be known orthogonal polynomials but in many cases we encounter a general class of new orthogonal polynomials for which we establish several qualitative results.

21 pages

Cited by in corpus (4)

• Uniform Asymptotics of Orthogonal Polynomials Arising from Coherent States
• On completeness of coherent states in noncommutative spaces with generalised uncertainty principle
• Orthogonal polynomials attached to coherent states for the symmetric Poschl-Teller oscillator
• Segal-Bargmann transforms and generalized Weyl algebras associated with the Meixner class of orthogonal polynomials