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

关键词：

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.

引用

页码：137 / 145

页数：9

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