Periodic orbits of the hydrogen molecular ion |
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| Authors: | Yiwu Duan J-M Yuan |
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| Institution: | (1) Department of Physics, Hunan Normal University, Hunan, 410081, China Wuhan Institute of Physics, The Chinese Academy of Sciences, Wuhan, 430071, China, CN;(2) Department of Physics and Atmospheric Science, Drexel University, Philadelphia, PA19104, USA, US |
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| Abstract: | 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.
Received: 5 February 1999 |
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| Keywords: | PACS 03 65 Sq Semiclassical theories and applications- 31 10 +z Theory of electronic structure electronic transitions and chemical binding |
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