The degenerate parametric oscillator and Ince's equation

Ricardo Cordero-Sotos, Sergei Suslov

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

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 languageEnglish (US)
Article number015101
JournalJournal of Physics A: Mathematical and Theoretical
Volume44
Issue number1
DOIs
StatePublished - Jan 7 2011

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modeling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

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