Time-dependent density-functional theory for the stopping power of an interacting electron gas for slow ions

Physical Review B - Condensed Matter and Materials Physics

Volumn 71, Issue 12, 2005, Pages

  Nazarov, V U ^a,b   Pitarke, J M ^c,d   Kim, C S ^a   Takada, Y ^b  

^a Chonnam National University   (South Korea)

^b UNIVERSITY OF TOKYO   (Japan)

^c UNIVERSITY OF THE BASQUE COUNTRY UPV EHU   (Spain)

^d DONOSTIA INTERNATIONAL PHYSICS CENTER DIPC   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CORRELATION ANALYSIS; DENSITY FUNCTIONAL THEORY; DYNAMICS; ELECTRON; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; VELOCITY;

EID: 20044385750     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.71.121106     Document Type: Article

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24. Typically, the same set of eigenfunctions is used for both bra and ket vectors entering Eq. (11). Nevertheless, it can be shown that two different orthonormal complete sets can be used, which we here choose to be the incoming and outgoing states. Although we work with the density-response function of an inhomogeneous EG rather than the force-force correlation function, our proof has much in common with a derivation in E. G. d'Agliano et al., Phys. Rev. B 11, 2122 (1975).