A superintegrable discrete harmonic oscillator based on bivariate Charlier polynomials
Journal Article
·
· Physics of Atomic Nuclei
- Doshisha University, Department of Electronics, Faculty of Science and Engineering (Japan)
- Université de Montréal, Centre de Recherches Mathématiques (Canada)
- Shanghai Jiao Tong University, Department of Mathematics (China)
A simple discrete model of the two-dimensional isotropic harmonic oscillator is presented. It is superintegrable with su(2) as its symmetry algebra. It is constructed with the help of the algebraic properties of the bivariate Charlier polynomials. This adds to the other discrete superintegrable models of the oscillator based on Krawtchouk and Meixner orthogonal polynomials in several variables.
- OSTI ID:
- 22759660
- Journal Information:
- Physics of Atomic Nuclei, Journal Name: Physics of Atomic Nuclei Journal Issue: 4 Vol. 80; ISSN 1063-7788; ISSN PANUEO
- Country of Publication:
- United States
- Language:
- English
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