ENERGY EIGENVALUE FORMULA FOR POWER-LAW POTENTIALS IN SEMICLASSICAL-TYPE APPROXIMATION

被引：0
|
作者：
KENMOKU, M
KITAJIMA, E
SHIMANO, Y
机构：
来源：
PROGRESS OF THEORETICAL PHYSICS | 1991年 / 85卷 / 05期
关键词：
D O I：
10.1143/PTP.85.963
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
For power-law potentials V(r) = lambda-r-nu-(-2 < nu < infinity), a simple energy eigenvalue formula is obtained within the framework of semiclassical-type approximation. This formula is exact for nu = -1 and 2, a good approximation for finite value of nu, and a qualitatively good approximation even for nu = infinity. A geometrical interpretation of the energy eigenvalue formula is given for small-nu.
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页码：963 / 968
页数：6
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