Analysis of Resonance Charge Transfer Neutralization on the Basis of Heisenberg Equations of Motion(Condensed Matter Physics)

On the basis of Heisenberg equations of motion, we propose a new method to analyze the resonance charge transfer neutralization of an ion in front of a metal surface. The Hamiltonian of the system is taken to be a one-electron picture with time dependence. Our approach is directly derived from Heisenberg equations of motion without any approximation and we obtain the simultaneous differential equations to describe the time-dependent behaviors of electrons and ions. We show the derivation of equations and various numerical calculation results, including the case where an impurity potential is introduced into the nonperturbative Hamiltonian.