Classical dynamics of two-electron atoms near the triple collision
- Authors
- Lee, MH; Tanner, G; Choi, NN
- Issue Date
- May-2005
- Publisher
- AMER PHYSICAL SOC
- Citation
- PHYSICAL REVIEW E, v.71, no.5
- Journal Title
- PHYSICAL REVIEW E
- Volume
- 71
- Number
- 5
- URI
- https://scholarworks.bwise.kr/kumoh/handle/2020.sw.kumoh/3371
- DOI
- 10.1103/PhysRevE.71.056208
- ISSN
- 2470-0045
- Abstract
- The classical dynamics of two electrons in the Coulomb potential of an attractive nucleus is chaotic in large parts of the high-dimensional phase space. Quantum spectra of two-electron atoms, however, exhibit structures which clearly hint at the existence of approximate symmetries in this system. In a recent paper [Phys. Rev. Lett. 93, 054302 (2004)], we presented a study of the dynamics near the triple collision as a first step towards uncovering the hidden regularity in the classical dynamics of two electron atoms. The nonregularizable triple collision singularity is a main source of chaos in three body Coulomb problems. Here, we will give a more detailed account of our findings based on a study of the global structure of the stable and unstable manifolds of the triple collision.
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