Above potential barrier diffusion
Quantum Physics
2007-05-23 v2
Abstract
The stationary phase method is applied to diffusion by a potential barrier for an incoming wave packet with energies greater then the barrier height. It is observed that a direct application leads to paradoxical results. The correct solution, confirmed by numerical calculations is the creation of multiple peaks as a consequence of multiple reflections. Lessons concerning the use of the stationary phase method are drawn.
Cite
@article{arxiv.quant-ph/0408028,
title = {Above potential barrier diffusion},
author = {A. E. Bernardini and S. De Leo and P. Rotelli},
journal= {arXiv preprint arXiv:quant-ph/0408028},
year = {2007}
}
Comments
8 pages, 2 figures