Enviar artigo por via de e-mail A superintegrable discrete harmonic oscillator based on bivariate Charlier polynomials
- Autores: Genest V.X.1, Miki H.2, Vinet L.3,1, Yu G.1
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Afiliações:
- Department of Mathematics
- Department of Electronics, Faculty of Science and Engineering
- Centre de Recherches Mathématiques
- Edição: Volume 80, Nº 4 (2017)
- Páginas: 794-800
- Seção: Elementary Particles and Fields
- URL: https://journals.rcsi.science/1063-7788/article/view/192375
- DOI: https://doi.org/10.1134/S106377881704010X
- ID: 192375
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Resumo
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.
Sobre autores
Vincent Genest
Department of Mathematics
Autor responsável pela correspondência
Email: vxgenest@mit.edu
Estados Unidos da América, Cambridge
Hiroshi Miki
Department of Electronics, Faculty of Science and Engineering
Email: vxgenest@mit.edu
Japão, Kyotanabe City
Luc Vinet
Centre de Recherches Mathématiques; Department of Mathematics
Email: vxgenest@mit.edu
Canadá, Ottawa; Shanghai
Guofu Yu
Department of Mathematics
Email: vxgenest@mit.edu
República Popular da China, Shanghai
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