Physical Review A
Time-dependent harmonic oscillator with variable mass under the action of a driving force
M. Sebawe Abdalla
Abstract
An exact solution is presented for the problem of a harmonic oscillator of time-dependent mass with an external driving force. The wave functions for both pseudostationary and quasicoherent states and the Green's function are calculated. A solution is obtained in the Heisenberg picture. The amplitude for transition from a coherent state to a simple harmonic-oscillator coherent state is calculated.