Creation and Annihilation Operators for Orthogonal Polynomials of Continuous and Discrete Variables

Details Creation and Annihilation Operators for Orthogonal Polynomials of Continuous and Discrete Variables Creation and Annihilation Operators for Orthogonal Polynomials of Continuous and Discrete Variables

2004-01-06

arxiv.org/abs/math-ph/0401009v1

El. Trans. Num. Anal. 9 (1999) 102-111

Physics

Mathematical Physics

LaTeX, 9 pages, uses siamltex.sty (late submission)

Scientific paper

We develop general expressions for the raising and lowering operators that
belong to the orthogonal polynomials of hypergeometric type with discrete and
continuous variable. We construct the creation and annihilation operators that
correspond to the normalized polynomials and study their algebraic properties
in the case of the Kravchuk/Hermite Meixner/Laguerre polynomials.

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