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Article Dans Une Revue Journal of Mathematical Physics Année : 2013

From sequences to polynomials and back, via operator orderings

Résumé

Bender and Dunne ["Polynomials and operator orderings," J. Math. Phys. 29, 1727-1731 (1988)] showed that linear combinations of words q(k)p(n)q(n-k), where p and q are subject to the relation qp - pq = i, may be expressed as a polynomial in the symbol z = 1/2(qp + pq). Relations between such polynomials and linear combinations of the transformed coefficients are explored. In particular, examples yielding orthogonal polynomials are provided

Dates et versions

hal-00931138 , version 1 (14-01-2014)

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Valerio de Angelis, Victor H. Moll, T. Amdeberhan, Atul Dixit, Christophe Vignat. From sequences to polynomials and back, via operator orderings. Journal of Mathematical Physics, 2013, 54, pp.123502. ⟨10.1063/1.4836778⟩. ⟨hal-00931138⟩
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