Different faces of harmonic oscillator

Details Different faces of harmonic oscillator Different faces of harmonic oscillator

1999-05-09

arxiv.org/abs/math-ph/9905006v1

Physics

Mathematical Physics

9pp, AMSTeX, Contribution to the Proceedings of the Conference SIDE III,Roma, Italy, May 1998, to be published by CRM Press, C

Scientific paper

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.

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