5 research outputs found

    The Degenerate Parametric Oscillator and Ince's Equation

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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.Comment: 10 pages, no figure

    Fundamental laser modes in paraxial optics: from computer algebra and simulations to experimental observation

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