Path Integral Solution by Sum Over Perturbation Series
Quantum Physics
2015-06-26 v1
Abstract
A method for calculating the relativistic path integral solution via sum over perturbation series is given. As an application the exact path integral solution of the relativistic Aharonov-Bohm-Coulomb system is obtained by the method. Different from the earlier treatment based on the space-time transformation and infinite multiple-valued trasformation of Kustaanheimo-Stiefel in order to perform path integral, the method developed in this contribution involves only the explicit form of a simple Green's function and an explicit path integral is avoided.
Cite
@article{arxiv.quant-ph/9909050,
title = {Path Integral Solution by Sum Over Perturbation Series},
author = {De-Hone Lin},
journal= {arXiv preprint arXiv:quant-ph/9909050},
year = {2015}
}
Comments
13 pages, ReVTeX, no figures