GAUSSIAN PERTURBATIONS TO HARMONIC OSCILLATORS

被引:13
作者
BELL, S
机构
来源
JOURNAL OF PHYSICS PART B ATOMIC AND MOLECULAR PHYSICS | 1969年 / 2卷 / 10期
关键词
D O I
10.1088/0022-3700/2/10/302
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Harmonic oscillators perturbed by Gaussian functions are useful for double minimum and circular minimum potential functions. The matrix elements of exp(-bξ2) are evaluated in closed form for the one-, two- and three-dimensional oscillators. Recursion relations among matrix elements are also obtained, which are more useful in computer programmes for finding energy levels.
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页码:1001 / &
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