Elsevier

Chemical Physics

Volume 170, Issue 1, 15 February 1993, Pages 23-31
Chemical Physics

Electron delocalization and transfer induced by a time-dependent potential: exact treatment of a simple model - transfer

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Abstract

We study the process of electron transfer between two short-range (δ-function) potential wells induced by a time-dependent oscillation of the amplitude of one of them. The transfer probability is studied as a function of the amplitude and the angular frequency of the oscillation with an emphasis on the maximum transfer probability and the associated transfer time. Numerical results are obtained using a discretized operational calculus method due to Lubich. An approximate two-level model exhibiting very similar properties to those of the exact two-well system is constructed, allowing us to obtain analytical results. Multiphononic electron transfer is observed along with the well-known Stueckelberg oscillations. It is found that the time dependence of the coupling matrix element plays no role in the transfer process, and that similar results can be obtained with an electronic coupling calculated at the Franck-Condon point.

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