The Degenerate Parametric Oscillator and Ince's Equation

Published 17 Jun 2010 in math-ph, math.MP, and quant-ph | (1006.3362v3)

Abstract: 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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