Article Dans Une Revue Journal of Mathematical Physics Année : 2010

Orthogonal polynomials and operator orderings

Résumé

An alternative and combinatorial proof is given for a connection between a system of Hahn polynomials and identities for symmetric elements in the Heisenberg algebra, which was first observed by Bender, Mead, and Pinsky [Phys. Rev. Lett. 56 (1986), J. Math. Phys. 28, 509 (1987)] and proved by Koornwinder [J. Phys. Phys. 30(4), 1989]. In the same vein two results announced by Bender and Dunne [J. Math. Phys. 29 (8), 1988] connecting a special one-parameter class of Hermitian operator orderings and the continuous Hahn polynomials are also proved.

Dates et versions

hal-00943717 , version 1 (08-02-2014)

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Adel Hamdi, Jiang Zeng. Orthogonal polynomials and operator orderings. Journal of Mathematical Physics, 2010, 51, pp.043506. ⟨hal-00943717⟩
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