Coherent orthogonal polynomials

DOI10.1016/j.aop.2013.04.017zbMath1286.81110arXiv1205.6353OpenAlexW2081563580MaRDI QIDQ2443671

Mariano A. del Olmo, Enrico Celeghini

Publication date: 8 April 2014

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.6353

zbMATH Keywords

orthogonal polynomialsquantum mechanicscoherent statesgroup representation theory

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Applications of Lie groups to the sciences; explicit representations (22E70) Coherent states (81R30)

Related Items (7)

Applications of rigged Hilbert spaces in quantum mechanics and signal processing ⋮ Spherical harmonics and rigged Hilbert spaces ⋮ Groups, Jacobi functions, and rigged Hilbert spaces ⋮ Group theoretical aspects of L2(R+), L2(R2) and associated Laguerre polynomials ⋮ Zernike functions, rigged Hilbert spaces, and potential applications ⋮ Jacobi Polynomials as su(2, 2) Unitary Irreducible Representation ⋮ Groups, special functions and rigged Hilbert spaces

Uses Software

• DLMF

Cites Work

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• Algebraic special functions and \(\mathrm{SO}(3,2)\)
• Lie theory and special functions
• Bases in L 2 Spaces with Applications to Stochastic Processes with Orthogonal Increments
• The Factorization Method

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