Path integral for a pair of time-dependent coupled and driven oscillators

Abstract

The propagator for a certain class of two time-dependent coupled and driven harmonic oscillators with time-varying angular frequencies and masses is evaluated by path integration. This is simply done through suitably chosen generalized canonical transformations and without presupposing the knownledge of any auxiliary equation. The time-dependent oscillators system with an exponentially growing masses and coupling coefficient in time may be considered as particular case.

11 pages, no figures

Cited by in corpus (5)

• Indefinite oscillators and black-hole evaporation
• An alternative approach to exact wave functions for time-dependent coupled oscillator model of charged particle in variable magnetic field
• Time-dependent coupled oscillator model for charged particle motion in the presence of a time varyingmagnetic field
• Time-dependent driven anharmonic oscillator and the adiabaticity
• Comment on: "Quantum dynamics of a general time-dependent coupled oscillator"