Periodic orbits of the hydrogen molecular ion and their quantization
- Department of Physics and Atmospheric Science, Drexel University, Philadelphia, Pennsylvania 19104 (United States)
- Department of Physics, Zhongshan University, Guangzhou, 510275 (China)
In a classical study of the hydrogen molecular ion beyond the Born-Oppenheimer approximation (BOA), we have found that segments of trajectories resemble that of the Born-Oppenheimer approximation periodic orbits. The importance of this fact to the classical understanding of chemical bonding leads us to a systematic study of the periodic orbits of the planar hydrogen molecular ion within the BOA. Besides introducing a classification scheme for periodic orbits, we discuss the convergence properties of families of periodic orbits and their bifurcation patterns according to their types. Semiclassical calculations of the density of states based on these periodic orbits yield results in agreement with the exact quantum eigenvalues of the hydrogen molecular ion system.
- OSTI ID:
- 132885
- Journal Information:
- Physical Review A, Vol. 52, Issue 5; Other Information: PBD: Nov 1995
- Country of Publication:
- United States
- Language:
- English
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