The Degenerate Parametric Oscillator and Ince's Equation

Angelow A; Angelow A Trifonov D A; Berry M V; Cordero-Soto R Suazo E Suslov S K; Cordero-Soto R Suslov S K; Dodonov V V; Dodonov V V; Feynman R P; Hannay J H; Lanfear N Suslov S K; Li J-F; Lo C F; Louisell W H; Magnus W; Malkin I A; Meiler M Cordero-Soto R Suslov S K; Mertens C J; Nikiforov A F; Orszag M; Peřina J; Puri R R; Ricardo Cordero-Soto; Sergei K Suslov; Shen Y R; Smirnov Yu F; Suazo E Suslov S K; Suslov S K; Suslov S K; Takahasi H; Walls D F

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The Degenerate Parametric Oscillator and Ince's Equation

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.Comment: 10 pages, no figure

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Last time updated on 01/04/2019