Journals / Turkish Journal of Physics / 2008 / Cilt: 32 - Sayı: 6

Path Integral Evaluation of a Time-Dependent Oscillator in an External Field

Pages
305–313
DOI
—

Abstract

The Lagrangian of a system describing the dynamical behaviour of a time-dependent harmonic oscillator is modified and then used to evaluate the Feynman path integral of the oscillator. The path integral of the time-dependent oscillator is shown to reduce to the time-independent within certain limits.

Özet

The Lagrangian of a system describing the dynamical behaviour of a time-dependent harmonic oscillator is modified and then used to evaluate the Feynman path integral of the oscillator. The path integral of the time-dependent oscillator is shown to reduce to the time-independent within certain limits.

Keywords: Path Integral Propagator, Green functions and harmonic oscillator