Abstract
In this work we solve the dynamics of the Newns-Anderson Hamiltonian supplemented with Auger terms and analyze the case of ${\mathrm{He}}^{+}$ scattered off an Al (100) surface. The dynamical solution is compared with results of calculations based on much simpler approximations. We prove that resonant and Auger processes can be treated separately and independently in this case and that charge exchange between He and Al proceeds via resonant and Auger exchange of electrons between the promoted molecular orbital of He and the conduction band states of Al.
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