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.
Bracken, Paul. "Quantum phases for a generalized harmonic oscillator" Open Physics, vol. 6, no. 1, 2008, pp. 135-140. https://doi.org/10.2478/s11534-007-0045-2
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Central European Journal of Physics