Second Order Self-Energy and Interpolation Formula for the Charge Transfer Probability in Time-Dependent Models

  • K. Makoshi
  • T. Mii
Conference paper
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 121)


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.


Green Function Resonant Tunneling Charge Fraction Auger Process Ground State Hole 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • K. Makoshi
    • 1
  • T. Mii
    • 2
  1. 1.Faculty of ScienceHimeji Institute of TechnologyHyogoJapan
  2. 2.Department of Material Physics, Faculty of Engineering ScienceOsaka UniversityToyonaka, OsakaJapan

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