Smooth double barriers in quantum mechanics
Quantum Physics
2021-10-26 v3 Mesoscale and Nanoscale Physics
High Energy Physics - Theory
Abstract
Quantum mechanical tunneling across smooth double barrier potentials modeled using Gaussian functions, is analyzed numerically and by using the WKB approximation. The transmission probability, resonances as a function of incident particle energy, and their dependence on the barrier parameters are obtained for various cases. We also discuss the tunneling time, for which we obtain generalizations of the known results for rectangular barriers.
Cite
@article{arxiv.1008.1640,
title = {Smooth double barriers in quantum mechanics},
author = {Avik Dutt and Sayan Kar},
journal= {arXiv preprint arXiv:1008.1640},
year = {2021}
}
Comments
23 pages, 8 figures, misplaced parenthesis and a few typos corrected