Variational approach to the scattering of charged particles by a many-electron system

V. U. Nazarov*, S. Nishigaki, J. M. Pitarke, C. S. Kim

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


We report a variational approach to the nonlinearly screened interaction of charged particles with a manyelectron system. This approach has been developed by introducing a modification of the Schwinger variational principle of scattering theory, which allows one to obtain nonperturbative scattering cross sections of moving projectiles from the knowledge of the linear and quadratic density-response functions of the target. Our theory is illustrated with a calculation of the energy loss per unit path length of slow antiprotons moving in a uniform electron gas, which shows good agreement with a fully nonlinear self-consistent Hartree calculation. Since available self-consistent calculations are restricted to low heavy-projectile velocities, we expect our theory to have applications to a variety of processes where nonlinear screening plays an important role.

Original languageAmerican English
Article number113105
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number11
StatePublished - 15 Mar 2005
Externally publishedYes


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