A New Time-Scale for Tunneling

E. Eisenberg; Y. Ashkenazy

doi:10.1007/bf02550449

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arXiv · quant-ph/9610039

A New Time-Scale for Tunneling

E. Eisenberg·Y. Ashkenazy

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Abstract

We study the tunneling through an oscillating delta barrier. Using time periodicity of the model, the time-dependent Schrödinger equation is reduced to a simple but infinite matrix equation. Employing Toeplitz matrices methods, the infinite matrix is replaces by a $3\times 3$ matrix, allowing an analytical solution. Looking at the frequency dependence of the transmissionamplitudes, one observes a new time scale which dominates the tunneling dynamics. This time scale differs from the one previously introduced by Büttiker and Landauer. The relation between these two is discussed.

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E. Eisenberg, Y. Ashkenazy. 1996-11-27. A New Time-Scale for Tunneling. https://doi.org/10.1007/bf02550449

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