DOI 10.1007/s1005298000888
q-deformed Hermite polynomials in q-quantum mechanics
R. Hinterding1,2 - J. Wess1,2
1 Sektion Physik der Ludwig-Maximilians-Universität,
Theresienstr. 37, D-80333 München, Germany
2 Max-Planck-Institut für Physik (Werner-Heisenberg-Institut),
Föhringer Ring 6, D-80805 München, Germany
Received: 5 March 1998 / Published online: 9
April 1998
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.
Copyright Springer-Verlag
