Complex-time approach for semi-classical quantum tunneling
High Energy Physics - Theory
2010-11-01 v1
Abstract
The complex-time method for quantum tunneling is studied. In one-dimensional quantum mechanics, we construct a reduction formula for a Green function in the number of turning points based on the WKB approximation. This formula yields a series, which can be interpreted as a sum over the complex-time paths. The weights of the paths are determined.
Cite
@article{arxiv.hep-th/9411086,
title = {Complex-time approach for semi-classical quantum tunneling},
author = {Hideaki Aoyama and Toshiyuki Harano},
journal= {arXiv preprint arXiv:hep-th/9411086},
year = {2010}
}
Comments
9 pages + 3 figures, phyzzx and epsf macros (ps files attached)