Periodic orbits of the hydrogen molecular ion

被引：13

作者：

Duan, YW ^{[1
]}

Yuan, JM

机构：

[1] Hunan Normal Univ, Dept Phys, Hunan 410081, Peoples R China

[2] Chinese Acad Sci, Wuhan Inst Phys, Wuhan 430071, Peoples R China

[3] Drexel Univ, Dept Phys & Atmospher Sci, Philadelphia, PA 19104 USA

来源：

EUROPEAN PHYSICAL JOURNAL D | 1999年 / 6卷 / 03期

关键词：

D O I：

10.1007/s100530050315

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Based on our previous work [Yiwu Duan, J.M. Yuan, C.G. Bao, Phys. Rev. A 52, 3497 (1995)], we study deeply the periodic orbits of the hydrogen molecular ion within the Born-Oppenheimer approximation (BOA). The Thiele-Burrau's transformation is introduced to regularize the singularities associated with the Coulomb potential terms and to transform the problem into a direct product of a pendulum and an anharmonic oscillator. This facilitates the analysis of the bifurcation properties of the periodic orbits. Some more details are also given about the calculation of the semiclassical density-of-state distribution using the Berry-Tabor formula.

引用

页码：319 / 326

页数：8

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