Lie-algebra contractions and separation of variables. Three-dimensional sphere

被引：0
|
作者：
G. S. Pogosyan
A. Yakhno
机构：
[1] Universidad de Guadalajara,Departamento de Matematicas, CUCEI
[2] Joint Institute for Nuclear Research,undefined
[3] Yerevan State University,undefined
来源：
Physics of Atomic Nuclei | 2009年 / 72卷
关键词：
11.30.Pb;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The Inönü-Wigner contraction from the SO(4) group to the Euclidean E(3) group is used to relate the separation of variables in Helmholtz equations for two corresponding homogeneous spaces. We show how the six systems of coordinates on the three-dimensional sphere contracted to nine systems of coordinates on Euclidean space. As a consequence of the Inönü-Wigner contraction we also consider contractions of the integrals of motion.
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页码：836 / 844
页数：8
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