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Coherent orthogonal polynomials
Authors:E. Celeghini  M.A. del Olmo
Affiliation:1. Dipartimento di Fisica, Università di Firenze and INFN–Sezione di Firenze, I50019 Sesto Fiorentino, Firenze, Italy;2. Departamento de Física Teórica and IMUVA, Universidad de Valladolid, E-47005, Valladolid, Spain
Abstract:We discuss a fundamental characteristic of orthogonal polynomials, like the existence of a Lie algebra behind them, which can be added to their other relevant aspects. At the basis of the complete framework for orthogonal polynomials we include thus–in addition to differential equations, recurrence relations, Hilbert spaces and square integrable functions–Lie algebra theory.
Keywords:Orthogonal polynomials   Group representation theory   Quantum mechanics   Coherent states
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