RECURRENCE IN RESONANT TRANSMISSION OF ONE-DIMENSIONAL ARRAY OF DELTA POTENTIALS

Abstract

In this paper, the resonant transmission of a moving particle which interacts with a one-dimensional array of N δ-function potentials is investigated. A suitable transfer matrix formulation is used to obtain the particle transmission. We give the parameters for perfect tunneling and the transcendental equation for the quasi-bound state energies for N = 2, 3 and 4. Conditions for perfect tunneling and resonant transmission are discussed for arrays with arbitrary N. A model to explain how the tunneling energy filter works in these systems is proposed here.