M J Rakovic and Shih-I Chu 1997 J. Phys. A: Math. Gen. 30 733 doi:10.1088/0305-4470/30/2/033
Phase-space structure of a new integrable system related to hydrogen atoms in external fields
M J Rakovic
,
and Shih-I Chu
We explore the detailed topological structure of the phase-space of the recently discovered three-dimensional integrable but nonseparable Hamiltonian system with velocity dependent potential. Two three-parameter families of three-dimensional tori which foliate the phase-space are identified. The complete classification, according to their topology, of the level sets corresponding to the critical points of the energy-momentum map, is accomplished. The relationship of the three-dimensional integrable system with important physical systems of current interest, namely, the hydrogen atoms in circularly polarized (CP) fields, in crossed magnetic and electric fields and in crossed magnetic and CP fields, is discussed.
- PACS
- MSC
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37J35 Completely integrable systems, topological structure of phase space, integration methods
- Subjects
- Dates
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Issue 2 (21 January 1997)
Received 14 May 1996
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Phase-space structure of a new integrable system related to hydrogen atoms in external fields
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