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arXiv · 1311.5628

Recurrence in resonant transmission of one-dimensional array of delta potentials

Guillermo Cordourier-Maruri·Virendra Gupta·Romeo de Coss
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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.

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Guillermo Cordourier-Maruri, Virendra Gupta, Romeo de Coss. 2013-11-22. Recurrence in resonant transmission of one-dimensional array of delta potentials. https://doi.org/10.1142/s021798491450016x

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