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q-deformed Hermite Polynomials in q-Quantum Mechanics

Ralf Hinterding·Julius Wess
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Abstract

The q-special functions appear naturally in q-deformed quantum mechanics and both sides profit from this fact. Here we study the relation between the q-deformed harmonic oscillator and the q-Hermite polynomials. We discuss: recursion formula, generating function, Christoffel-Darboux identity, orthogonality relations and the moment functional.

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BibTeXRIS

Ralf Hinterding, Julius Wess. 1998-03-12. q-deformed Hermite Polynomials in q-Quantum Mechanics. https://doi.org/10.1007/s100529800888

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