Different faces of harmonic oscillator
数学物理
2007-05-23 v1 math.MP
量子代数
摘要
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.
引用
@article{arxiv.math-ph/9905006,
title = {Different faces of harmonic oscillator},
author = {Alexander Turbiner},
journal= {arXiv preprint arXiv:math-ph/9905006},
year = {2007}
}
备注
9pp, AMSTeX, Contribution to the Proceedings of the Conference SIDE III,Roma, Italy, May 1998, to be published by CRM Press, Canada