Complex-time path-integral formalism for quantum tunneling
高能物理 - 理论
2011-07-19 v1
摘要
The complex-time formalism is developed in the framework of the path-integral formalism, to be used for analysis of the quantum tunneling phenomena. We show that subleading complex-time saddle-points do not account for the right WKB result. Instead, we develop a reduction formula, which enables us to construct Green functions from simple components of the potential, for which saddle-point method is applicable. This method leads us to the valid WKB result, which incorporates imaginary-time instantons and bounces, as well as the real-time boundary conditions.
引用
@article{arxiv.hep-th/9412093,
title = {Complex-time path-integral formalism for quantum tunneling},
author = {Hideaki Aoyama and Toshiyuki Harano},
journal= {arXiv preprint arXiv:hep-th/9412093},
year = {2011}
}
备注
23 pages + 8 figures, phyzzx and epsf macros (ps files attached)