Chebyshev-Koornwinder振荡器的阶梯算子

Proceedings of the International Conference Days on Diffraction 2013 Pub Date : 2013-05-27 DOI:10.1109/DD.2013.6712797

V. Borzov, E. Damaskinsky

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引用次数: 1

摘要

得到了与二元Chebyshev-Koornwinder (CK)多项式相关的广义振子阶梯算子的微分表达式。利用k -振子的“数算子”来表示Koornwinder的微分算子，得到了Koornwinder代数的补全。这个扩展是ck -振子代数的一个阿贝尔子代数。

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Ladder operators for Chebyshev-Koornwinder oscillator

We obtain differential expressions for ladder operators of generalized oscillator related to the bivariate Chebyshev-Koornwinder (CK) polynomials. Using the representation of differential operators of Koornwinder by “number operators” of CK-oscillator, we get a completion of Koornwinder algebra. This extension is an Abelian subalgebra of CK-oscillator algebra.

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来源期刊

$Proceedings of the International Conference Days on Diffraction 2013$

Proceedings of the International Conference Days on Diffraction 2013

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