Different faces of harmonic oscillator
arXiv:math-ph/9905006
Abstract
Harmonic oscillator in Fock space is defined. Isospectral as well as polynomiality-of-eigenfunctions preserving, translation-invariant discretization of the harmonic oscillator is presented. Dilatation-invariant and polynomiality-of-eigenfunctions preserving discretization is also given.
9pp, AMSTeX, Contribution to the Proceedings of the Conference SIDE III,Roma, Italy, May 1998, to be published by CRM Press, Canada