Second Order Self-Energy and Interpolation Formula for the Charge Transfer Probability in Time-Dependent Models
A simple approximation for charge transfer probability in time-dependent Hamiltonians is proposed with the use of the Mahanthappa-Baksi-Keldysh Green function. The Auger process and the resonant tunneling process are both considered. We show that the approximation interpolates between the limit of fast ion motion and that of slow ion motion. Also shown is that the range of validity is quite wide in Auger processes. The similar procedure is applied for the resonant tunneling process, leading to the interpolation formula for the two limits. By using model time-dependences, we also discuss the validity of our approximation.
KeywordsGreen Function Resonant Tunneling Charge Fraction Auger Process Ground State Hole
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