Phase-space structure of a new integrable system related to hydrogen atoms in external fields

doi:10.1088/0305-4470/30/2/033

Phase-space structure of a new integrable system related to hydrogen atoms in external fields

Author

M J Rakovic ^, and Shih-I Chu

Affiliations

Kansas Institute for Theoretical and Computational Science and Department of Chemistry, University of Kansas, Lawrence, KS 66045, USA
Institute of Physics, University of Belgrade, PO Box 57, 11001 Belgrade, Yugoslavia

Journal

Journal of Physics A: Mathematical and General Create an alert RSS this journal

Issue

Volume 30, Number 2

Citation

M J Rakovic and Shih-I Chu 1997 J. Phys. A: Math. Gen. 30 733

doi: 10.1088/0305-4470/30/2/033

Article References Cited By

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Abstract

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

02.30.Ik Integrable systems

02.40.-k Geometry, differential geometry, and topology

MSC