Analysis of Multidimensional Phase Space Hamiltonian Dynamics: Methods and Applications
Author(s)
Shchekinova, Elena Y.
Advisor(s)
Uzer, Turgay
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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.
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Date
2006-03-17
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24295411 bytes
Resource Type
Text
Resource Subtype
Dissertation