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Many-body approach to the nonlinear interaction of charged particles with an interacting free electron gas

T del Río Gaztelurrutia1 and J M Pitarke2,3

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We report various many-body theoretical approaches to the nonlinear decay rate and energy loss of charged particles moving in an interacting free electron gas. These include perturbative formulations of the scattering matrix, the self-energy and the induced electron density. Explicit expressions for these quantities are obtained, with inclusion of exchange and correlation effects.


PACS

05.30.Fk Fermion systems and electron gas

03.65.Nk Scattering theory

71.45.Gm Exchange, correlation, dielectric and magnetic response functions, plasmons

02.10.Yn Matrix theory

45.50.Jf Few- and many-body systems

71.10.Ca Electron gas, Fermi gas

MSC

81V19 Other fundamental interactions

81U20 S-matrix theory, etc.

81V70 Many-body theory; quantum Hall effect

Subjects

Quantum gases, liquids and solids

Mathematical physics

Condensed matter: electrical, magnetic and optical

Quantum information and quantum mechanics

Statistical physics and nonlinear systems

Dates

Issue 37 (21 September 2001)

Received 20 April 2001, in final form 3 May 2001

Published 7 September 2001



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