Generalized D-dimensional oscillator: Interbasis expansions

被引：0
|
作者：
Hakobyan, YM [1 ]
Pogosyan, GS [1 ]
Sissakian, AN [1 ]
机构：
[1] Dubna Joint Nucl Res Inst, Dubna 141980, Moscow Oblast, Russia
来源：
PHYSICS OF ATOMIC NUCLEI | 1998年 / 61卷 / 10期
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D O I：
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中图分类号：
O57 [原子核物理学、高能物理学];
学科分类号：
070202 ;
摘要：
This article deals with a nonrelativistic study of a D-dimensional superintegrable system, which generalizes the ordinary isotropic oscillator system. The coefficients for the expansion between the hyperspherical and Cartesian bases (transition matrix), and vice versa, are found in terms of the SU(2) Clebsch-Gordan coefficients analytically continued to real values of their arguments. The diagram method, which allows one to construct a transition matrix for an arbitrary dimension, is developed.
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页码：1762 / 1767
页数：6
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