Wave and Particle Limit for Multiple Barrier Tunneling
Quantum Physics
2015-05-30 v1
Abstract
The particle approach to one-dimensional potential scattering is applied to non relativistic tunnelling between two, three and four identical barriers. We demonstrate as expected that the infinite sum of particle contributions yield the plane wave results. In particular, the existence of resonance/transparency for twin tunnelling in the wave limit is immediately obvious. The known resonances for three and four barriers are also derived. The transition from the wave limit to the particle limit is exhibit numerically.
Cite
@article{arxiv.1110.2433,
title = {Wave and Particle Limit for Multiple Barrier Tunneling},
author = {Stefano De Leo and Pietro Rotelli},
journal= {arXiv preprint arXiv:1110.2433},
year = {2015}
}
Comments
15 pages, 3 figures