A dynamic analysis of resonant tunnelling

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Abstract
The growing interest in resonant tunnelling devices that are expected to operate at high frequencies highlights the small amount of work that has previously been performed in an attempt to understand the dynamics of resonant tunnelling in quantum mechanical systems. In this paper the authors present a numerical and analytical treatment of the dynamics of resonant tunnelling, and contrast the result with those of alternative approaches to the problem. The analysis presented shows that resonant tunnelling does not require a precondition as proposed by previous authors. Two pictures of resonant tunnelling emerge, one of which is a hopping-type process whilst the other is described as true resonant tunnelling. In both pictures the relevant time which describes the dynamic resonant tunnelling may be taken to be 2h(cross)/ Gamma where Gamma is the width of the resonance.