Sextic and octic anharmonic oscillators: connection between strong-coupling and weak-coupling expansions

被引:17
作者
Ivanov, IA [1 ]
机构
[1] Russian Acad Sci, Inst Spect, Troitsk 142092, Moscow Region, Russia
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1998年 / 31卷 / 26期
关键词
D O I
10.1088/0305-4470/31/26/009
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
For the eigenvalues of the Hamiltonians 1/2 (p) over cap(2) + 1/2x(2) + 1/2 beta x(2m) With m = 3, 4..., we propose representations reproducing the well known weak-coupling asymptotic perturbation and strong-coupling expansions as limiting cases. Some analytical relations which the strong-coupling coefficients must satisfy are presented.
引用
收藏
页码:5697 / 5704
页数:8
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