Realization of the Annihilation Operator for an Oscillator-Like System by a Differential Operator and Hermite-Chihara Polynomials

V. Borzov, V.; V. Damaskinsky, E.

doi:10.1080/10652460213751

Public

Realization of the Annihilation Operator for an Oscillator-Like System by a Differential Operator and Hermite-Chihara Polynomials

Published in Integral Transforms and Special Functions • Jan 1, 2002

Authors:

V. V. Borzov

E. V. Damaskinsky

Abstract

We obtain the differential operator realization for the annihilation operator A of generalized Heisenberg algebra corresponding to the given polynomial system. The important special case of orthogonal polynomial systems, for which the matrix of the operator A in l 2 ( Z + ) has only off-diagonal ele...

Subject

Mathematics

Hermite polynomials

Differential operator

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