The Coulomb-oscillator relation on n-dimensional spheres and hyperboloids

被引：41
|
作者：
Kalnins, EG [1 ]
Miller, W [1 ]
Pogosyan, GS [1 ]
机构：
[1] Joint Inst Nucl Res, Dubna 141980, Moscow Oblast, Russia
来源：
PHYSICS OF ATOMIC NUCLEI | 2002年 / 65卷 / 06期
基金：
俄罗斯基础研究基金会;
关键词：
D O I：
10.1134/1.1490116
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：
We establish a relation between Coulomb and oscillator systems on n-dimensional spheres and hyperboloids for n greater than or equal to 2. We show that, as in Euclidean space, the quasiradial equation for the (n + l)-dimensional Coulomb problem coincides with the 2n-dimensional quasiradial oscillator equation on spheres and hyperboloids. Using the solution of the Schrodinger equation for the oscillator system, we construct the energy spectrum and wave functions for the Coulomb problem. (C) 2002 MAIK "Nauka/Interperiodica".
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页码：1086 / 1094
页数：9
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