The Degenerate Parametric Oscillator and Ince's Equation
arXiv:1006.3362 · doi:10.1088/1751-8113/44/1/015101
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.
10 pages, no figures
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- On persistence of superoscillations for Schrödinger equation with time-dependent quadratic Hamiltonians
- Wave Packets and Coherent Structures for Nonlinear Schroedinger equations in Variable Nonuniform Media
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