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    Analysis of Multidimensional Phase Space Hamiltonian Dynamics: Methods and Applications

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    Date
    2006-03-17
    Author
    Shchekinova, Elena Y.
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    Abstract
    Diverse complex phenomena that are found in many fundamental problems of atomic physics and chemistry can be understood in the framework of nonlinear theory. Most of simple atomic and chemical systems are classically described by the Hamiltonian models of dimension three and higher. The multidimensional nature of these problems makes widely used diagnostics of dynamics to be impractical. We demonstrate the application of rigorous and effective computational methods to treat multidimensional systems in strongly perturbative regimes. The results of a qualitative analysis of the phase space stability structures are presented for two multidimensional non--integrable Hamiltonian systems: highly excited planar carbonyl sulfide molecule and hydrogen atom in elliptically polarized microwave fields. The molecular system of the planar carbonyl sulfide and atomic system of hydrogen in elliptically polarized microwave fields are treated for different regimes of energies including regimes of classical ionization of hydrogen and dissociation of carbonyl sulfide molecule.
    URI
    http://hdl.handle.net/1853/10466
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