Europhysics Letters (EPL)
Coherent-State Propagator of the Generalized Time-Dependent Parametric Oscillator
Chi‐Fai Lo
Abstract
In this paper we derive the coherent-state propagator of a generalized time-dependent parametric oscillator using the Lie algebraic approach. The method is simple and gives the same results as those obtained by the path integral approach. Furthermore, this Lie algebraic approach can be easily generalized to a time-dependent many-body system once the algebraic structure of its Hamiltonian is identified.