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.
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Received: 5 February 1999
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Duan, Y., Yuan, JM. Periodic orbits of the hydrogen molecular ion. Eur. Phys. J. D 6, 319–326 (1999). https://doi.org/10.1007/s100530050315
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DOI: https://doi.org/10.1007/s100530050315