Classical and quantum nonlinear dynamics

Scott, Andrew J. (2002). Classical and quantum nonlinear dynamics PhD Thesis, School of Physical Sciences, The University of Queensland.

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Author Scott, Andrew J.
Thesis Title Classical and quantum nonlinear dynamics
School, Centre or Institute School of Physical Sciences
Institution The University of Queensland
Publication date 2002
Thesis type PhD Thesis
Supervisor Professor G. Milburn
Dr C. Holmes
Total pages 128
Collection year 2002
Language eng
Subjects L
240201 Theoretical Physics
780101 Mathematical sciences
Formatted abstract
The objective of this study is to explore the dynamics of quantum and classical nonlinear systems and attempt to reconcile their differences. We will first explore a physically realizable system which describes the dynamics of a single trapped ion periodically kicked by Gaussian laser pulses. Such a system exhibits a type of quantum localization, and consequently, 'heating' of the ion is suppressed. We will then introduce a class of Hamiltonian mappings that exhibit exotic phase-space structures which resemble circle packings. The quantum version of one of these mappings will be investigated in detail in the semiclassical regime where we will apply Gutzwiller's method of periodic orbit quantization. Finally, we will introduce a theory which describes the continuous simultaneous measurement of the phase-space variables, position and momentum, and show how the differences in the behaviors of quantum and classical systems might be resolved.
Keyword Dynamics
Nonlinear theories

Document type: Thesis
Collection: UQ Theses (RHD) - UQ staff and students only
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Created: Fri, 24 Aug 2007, 17:50:12 EST