Recurrence in resonant transmission of one-dimensional array of delta potentials
Quantum Physics
2014-02-05 v1
Abstract
The resonant transmission of a moving particle which interacts with an one-dimensional array of N delta-function potentials is investigated. A suitable transfer matrix formulation is used to obtain the particle transmission. We give the parameters for perfect tunnelling and the transcendental equation for the quasi-bound state energies for N = 2, 3 and 4. Conditions for perfect tunnelling and resonant transmission are discussed for arrays with arbitrary N. A model to explain how the tunnelling energy filter works in these systems is proposed here.
Keywords
Cite
@article{arxiv.1311.5628,
title = {Recurrence in resonant transmission of one-dimensional array of delta potentials},
author = {Guillermo Cordourier-Maruri and Virendra Gupta and Romeo de Coss},
journal= {arXiv preprint arXiv:1311.5628},
year = {2014}
}
Comments
19 pages, 4 figures, Accepted in Modern Physics Letters B