A superintegrable discrete harmonic oscillator based on bivariate Charlier polynomials

Genest Vincent X.; Miki Hiroshi; Vinet Luc; Yu Guofu

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A superintegrable discrete harmonic oscillator based on bivariate Charlier polynomials

机译：基于双变量的谐波多项式的一种超可集距离谐波振荡器

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摘要

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.

机译：提出了一种简单的二维各向同性谐波振荡器模型。它与Su（2）的超塑料作为其对称代数。借助于双变量的Charlier多项式的代数特性构建。这增加了振荡器的另一个离散型号，基于几个变量的Krawtchouk和Meixner正交多项式。

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来源
《Physics of atomic nuclei》 |2017年第4期|共7页
作者
Genest Vincent X.; Miki Hiroshi; Vinet Luc; Yu Guofu;
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作者单位

MIT Dept Math Cambridge MA 02139 USA;

Doshisha Univ Fac Sci &

Engn Dept Elect Kyotanabe Japan;

Univ Montreal Ctr Rech Math Montreal PQ Canada;

Shanghai Jiao Tong Univ Dept Math Shanghai Peoples R China;

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正文语种 eng
中图分类原子物理学;原子核物理学、高能物理学;
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1. A superintegrable discrete harmonic oscillator based on bivariate Charlier polynomials [J] . Genest Vincent X., Miki Hiroshi, Vinet Luc, Physics of atomic nuclei . 2017,第4期

机译：基于双变量的谐波多项式的一种超可集距离谐波振荡器
2. A superintegrable discrete oscillator and two-variable Meixner polynomials [J] . Gaboriaud Julien, Genest Vincent X., Lemieux Jessica, Journal of physics, A. Mathematical and theoretical . 2015,第41期

机译：超可积离散振荡器和二变量Meixner多项式
3. Interbasis expansions for the isotropic 3D harmonic oscillator and bivariate Krawtchouk polynomials [J] . Vincent X Genest, Luc Vinet, Alexei Zhedanov Journal of physics, A. Mathematical and theoretical . 2014,第2期

机译：各向同性3D谐波振荡器和二元Krawtchouk多项式的基间展开
4. A Superintegrable Discrete Harmonic Oscillator Based on Bivariate Charlier Polynomials [C] . Vincent X. Genest, Hiroshi Miki, Luc Vinet, International Symposium on Quantum Theory and Symmetries . 2017

机译：基于双变型查理多项式的超可集距离谐波振荡器
5. Superintegrable Systems, Exceptional Polynomials and Solutions to Painlevé Equations [D] . Ritter, Lisa. 2021

机译：SuperIngeGleable Systems，特殊的多项式和Painlevé方程的解决方案
6. The approximation of bivariate Chlodowsky-Szász-Kantorovich-Charlier-type operators [O] . Purshottam Narain Agrawal, Behar Baxhaku, Ruchi Chauhan -1

机译：二元Chlodowsky-Szász-Kantorovich-Charlier型算子的逼近
7. A superintegrable discrete harmonic oscillator based on bivariate Charlier polynomials [O] . Miki, Hiroshi, Vinet, Luc, Yu, Guofu, 2017

机译：一种基于二元Charlier多项式的超积分离散谐振子

A superintegrable discrete harmonic oscillator based on bivariate Charlier polynomials

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