The Degenerate Parametric Oscillator and Ince's Equation
Mathematical Physics
2015-05-19 v3 math.MP
Quantum Physics
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.
Keywords
Cite
@article{arxiv.1006.3362,
title = {The Degenerate Parametric Oscillator and Ince's Equation},
author = {Ricardo Cordero-Soto and Sergei K. Suslov},
journal= {arXiv preprint arXiv:1006.3362},
year = {2015}
}
Comments
10 pages, no figures