Superintegrability in three-dimensional Euclidean space

被引:44
作者
Kalnins, EG [1 ]
Williams, GC
Miller, W
Pogosyan, GS
机构
[1] Univ Waikato, Dept Math & Stat, Hamilton, New Zealand
[2] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA
[3] Joint Inst Nucl Res, Theoret Phys Lab, Dubna 141980, Russia
关键词
D O I
10.1063/1.532699
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Potentials for which the corresponding Schrodinger equation is maximally super-integrable in three-dimensional Euclidean space are studied. The quadratic algebra which is associated with each of these potentials is constructed and the bound state wave functions are computed in the separable coordinates. (C) 1999 American Institute of Physics. [S0022-2488(99)02602-X].
引用
收藏
页码:708 / 725
页数:18
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