The Degenerate Parametric Oscillator and Ince's Equation
classification
🧮 math-ph
math.MPquant-ph
keywords
degenerateequationinceoscillatorparametricapproachconnectionsconstruct
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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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