Gluing Torus Families across a Singularity : The Lens Space for the Hydrogen Atom in Crossed Fields(Quantum Mechanics and Chaos)
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概要
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We demonstrate that topological information that can be extracted from periodic orbits in a near-integrable system can lead to a complete topological characterization of families of invariant 2-tori in terms of lens spaces. This approach ties in with the techniques we developed for classifying the tori in systems with more than two degrees of freedom. It therefore offers a general way to investigate families of invariant 2-tori in higher-dimensional Hamiltonian systems.
- 理論物理学刊行会の論文
- 2007-05-31
著者
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Bartsch Thomas
Department Of Mathematical Sciences Loughborough University
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Main Jorg
Institut Fur Theoretische Physik I Universitat Stuttgart
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Main Jorg
Institut Fur Theoretische Physik 1 Universitat Stuttgart
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GEKLE Stephan
Department of Applied Physics, University of Twente
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UZER Turgay
Center for Nonlinear Science, School of Physics, Georgia Institute of Technology
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Uzer Turgay
Center For Nonlinear Science School Of Physics Georgia Institute Of Technology
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Gekle Stephan
Department Of Applied Physics University Of Twente
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BARTSCH Thomas
Department of Mathematical Sciences, Loughborough University
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MAIN Jorg
Institut fur Theoretische Physik I, Universitat Stuttgart
関連論文
- Gluing Torus Families across a Singularity : The Lens Space for the Hydrogen Atom in Crossed Fields(Quantum Mechanics and Chaos)
- Ghost Orbit Bifurcations in Semiclassical Spectra