Tunneling in cosine potential with periodic boundary conditions
Quantum Physics
2015-06-15 v1 Mathematical Physics
math.MP
Abstract
In this paper we discuss three methods to calculate energy splitting in cosine potential on a circle, Bloch waves, semi--classical approximation and restricted basis approach. While the Bloch wave method gives only a qualitative result, with the WKB method we are able to determine its unknown coefficients. The numerical approach is most exact and enables us to extract further corrections to previous results.
Cite
@article{arxiv.1303.0708,
title = {Tunneling in cosine potential with periodic boundary conditions},
author = {Zbigniew Ambrozinski},
journal= {arXiv preprint arXiv:1303.0708},
year = {2015}
}
Comments
9 pages, 3 figures