q-deformed Hermite Polynomials in q-Quantum Mechanics
Quantum Algebra
2019-08-17 v1
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.
Cite
@article{arxiv.math/9803050,
title = {q-deformed Hermite Polynomials in q-Quantum Mechanics},
author = {Ralf Hinterding and Julius Wess},
journal= {arXiv preprint arXiv:math/9803050},
year = {2019}
}
Comments
latex, 8 pages, no figures. accepted for publication in European Journal of Physics C