An Elementary Derivation of the Harmonic Oscillator Propagator
General Physics
2009-11-10 v1
Abstract
The harmonic oscillator propagator is found straightforwardly from the free particle propagator, within the imaginary-time Feynman path integral formalism. The derivation presented here is extremely simple, requiring only elementary mathematical manipulations and no clever use of Hermite polynomials, annihilation & creation operators, cumbersome determinant evaluations or any kind of involved algebra.
Cite
@article{arxiv.physics/0402069,
title = {An Elementary Derivation of the Harmonic Oscillator Propagator},
author = {L. Moriconi},
journal= {arXiv preprint arXiv:physics/0402069},
year = {2009}
}
Comments
1 page, RevTex4