Contraction of Lie algebra and separation of variables on three-dimensional sphere

被引：0
|
作者：
Izmest'ev, AA [1 ]
Pogosyan, GS [1 ]
机构：
[1] Joint Inst Nucl Res, Dubna 141980, Moscow Region, Russia
来源：
GROUP 21 - PHYSICAL APPLICATIONS AND MATHEMATICAL ASPECTS OF GEOMETRY, GROUPS, AND ALGEBRA, VOLS 1 AND 2 | 1997年
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D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Inonu-Wigner contraction from the O(4) group to the Euclidean E(3) group is used to relate the separation of variables in Laplace-Beltrami operators for two corresponding homogeneous spaces. We show that the six systems of coordinates on the three-dimensional sphere contracted to nine systems of coordinates in Euclidean space.
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页码：137 / 145
页数：9
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