Alternative analysis to perturbation theory
Quantum Physics
2013-03-13 v1
Abstract
We develop an alternative approach to time independent perturbation theory in non-relativistic quantum mechanics. The method developed has the advantage to provide in one operation the correction to the energy and to the wave function, additionally we can analyze the time evolution of the system. To verify our results, we apply our method to the harmonic oscillator perturbed by a quadratic potential. An alternative form of the Dyson series, in matrix form instead of integral form, is also obtained.
Cite
@article{arxiv.1110.0723,
title = {Alternative analysis to perturbation theory},
author = {J. Martinez-Carranza and F. Soto-Eguibar and H. Moya-Cessa},
journal= {arXiv preprint arXiv:1110.0723},
year = {2013}
}
Comments
12 pages, no figures