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Quantum Phases For A Generalized Harmonic Oscillator, Paul Bracken
Quantum Phases For A Generalized Harmonic Oscillator, Paul Bracken
School of Mathematical and Statistical Sciences Faculty Publications and Presentations
An effective Hamiltonian for the generalized harmonic oscillator is determined by using squeezed state wavefunctions. The equations of motion over an extended phase space are determined and then solved perturbatively for a specific choice of the oscillator parameters. These results are used to calculate the dynamic and geometric phases for the generalized oscillator with this choice of parameters.