The Propagator for A Damped Harmonic Oscillator Coupled to An Electric Field

Abstract

In this paper, the propagator for a damped harmonic oscillator coupled to an electric field is derived by using Feynman path integral as well as Functional methods. The Lagrangian the damped harmonic oscillator coupled to electric field at most quadratic in velocity and position variables. We also found that the propagator obtained is consistent with the propagators for the simple harmonic oscillator when an electric field and a resistance constant are zero as well as .