Some orthogonal polynomials arising from coherent states

DOI10.1088/1751-8113/45/12/125203zbMath1245.81052arXiv1111.7038OpenAlexW3103114909MaRDI QIDQ5388948

Syed Twareque Ali, Mourad E. H. Ismail

Publication date: 24 April 2012

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.7038

Mathematics Subject Classification ID

Quantum optics (81V80) Coherent states (81R30) Applications of functional analysis in quantum physics (46N50) Other special orthogonal polynomials and functions (33C47)

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A new generalization of nonlinear coherent states for the pseudoharmonic oscillator ⋮ A generating function and formulae defining the first-associated Meixner–Pollaczek polynomials ⋮ On completeness of coherent states in noncommutative spaces with the generalised uncertainty principle ⋮ Haydock's recursive solution of self-adjoint problems. Discrete spectrum ⋮ Nonlinear coherent states associated with a measure on the positive real half line ⋮ Research Article Orthogonal polynomials attached to coherent states for the symmetric Pöschl–Teller oscillator

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