The Bannai-Ito algebra and some applications

The Bannai-Ito algebra and some applications
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DOI:
10.1088/1742-6596/597/1/012001
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发表时间:
2014-11
期刊:
Journal of Physics: Conference Series
影响因子:
--
通讯作者:
H. De Bie;Vincent X. Genest;S. Tsujimoto;L. Vinet;A. Zhedanov
H. De Bie;Vincent X. Genest;S. Tsujimoto;L. Vinet;A. Zhedanov
中科院分区:
其他
文献类型:
--
作者:
H. De Bie;Vincent X. Genest;S. Tsujimoto;L. Vinet;A. Zhedanov

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给出了Bannai-Ito代数及其一些应用。讨论了它与Bannai-Ito多项式、sl−1(2)代数的Racah问题、带反射的超可积模型和2-球面上的Dirac-Dunkl方程的关系。
The Bannai-Ito algebra is presented together with some of its applications. Its relations with the Bannai-Ito polynomials, the Racah problem for the sl−1(2) algebra, a superintegrable model with reflections and a Dirac-Dunkl equation on the 2-sphere are surveyed.