The Degenerate Parametric Oscillator and Ince's Equation

Details The Degenerate Parametric Oscillator and Ince's Equation The Degenerate Parametric Oscillator and Ince's Equation

2010-06-17

arxiv.org/abs/1006.3362v3

Physics

Mathematical Physics

10 pages, no figures

Scientific paper

We construct Green's function for the quantum degenerate parametric
oscillator in terms of standard solutions of Ince's equation in a framework of
a general approach to harmonic oscillators. Exact time-dependent wave functions
and their connections with dynamical invariants and SU(1,1) group are also
discussed.

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