SUPERSYMMETRIC SEMICLASSICAL APPROACH TO CONFINED QUANTUM PROBLEMS

被引:26
作者
DUTT, R [1 ]
MUKHERJEE, A [1 ]
VARSHNI, YP [1 ]
机构
[1] UNIV OTTAWA, DEPT PHYS, OTTAWA, ON K1N 6N5, CANADA
来源
PHYSICAL REVIEW A | 1995年 / 52卷 / 02期
关键词
D O I
10.1103/PhysRevA.52.1750
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
It is suggested that the supersymmetric WKB (SWKB) method may be useful in studying the deviation of the energy levels of a quantum system due to the presence of a spherically confining boundary. For illustration, we present the explicit results for the Coulomb and three-dimensional harmonic-oscillator potentials. It is observed that the confining geometry removes the angular-momentum degeneracy of the electronic energy levels of a free atom. Our predicted energy eigenvalues are in agreement with the exact ones obtained numerically.
引用
收藏
页码:1750 / 1753
页数:4
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