Abstract
We construct Green's function for the quantum degenerate parametric oscillator in the coordinate representation in terms of standard solutions of Ince's equation in a framework of a general approach to variable quadratic Hamiltonians. Exact time-dependent wavefunctions and their connections with dynamical invariants and SU(1, 1) group are also discussed. An extension to the degenerate parametric oscillator with time-dependent amplitude and phase is also mentioned.
| Original language | English (US) |
|---|---|
| Article number | 015101 |
| Journal | Journal of Physics A: Mathematical and Theoretical |
| Volume | 44 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 7 2011 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Modeling and Simulation
- Mathematical Physics
- Physics and Astronomy(all)