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Volumn 65, Issue 24, 2002, Pages 1-19

Time-dependent current-density-functional theory for the linear response of weakly disordered systems

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EID: 84867242321     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.65.245102     Document Type: Article
Times cited : (1)

References (60)
  • 7
    • 85038321089 scopus 로고    scopus 로고
    • a more general form, TDFT deals with many-body systems evolving under the influence of time-dependent potentials (formula presented) of arbitrary strength (see Refs. 1, 3, 4 and 6)
    • In a more general form, TDFT deals with many-body systems evolving under the influence of time-dependent potentials (formula presented) of arbitrary strength (see Refs. 1, 3, 4 and 6).
  • 8
    • 85038292939 scopus 로고    scopus 로고
    • Strictly speaking, the Runge-Gross proof does not apply to adiabatically switched-on periodic potentials such as the ones employed in linear response theory. There are known examples9 of two different periodic potentials producing the same linear response in a finite system. However, such pathologies are expected to disappear10 in extended systems, such as the ones considered in this paper
    • Strictly speaking, the Runge-Gross proof does not apply to adiabatically switched-on periodic potentials such as the ones employed in linear response theory. There are known examples9 of two different periodic potentials producing the same linear response in a finite system. However, such pathologies are expected to disappear10 in extended systems, such as the ones considered in this paper.
  • 12
    • 85038325801 scopus 로고    scopus 로고
    • We take the point of view that the static xc potential can be adequately treated in one of the existing approximations, e.g., the static LDA. The Kohn-Sham response function can then be constructed in the standard way from the eigenfunctions and eigenvalues of the static Kohn-Sham problem
    • We take the point of view that the static xc potential can be adequately treated in one of the existing approximations, e.g., the static LDA. The Kohn-Sham response function can then be constructed in the standard way from the eigenfunctions and eigenvalues of the static Kohn-Sham problem.
  • 22
    • 85038336149 scopus 로고    scopus 로고
    • It is often stated, not quite accurately, that the Gross-Kohn approximation reduces to the ALDA in the (formula presented) limit. In fact, it turns out that (formula presented), as pointed out in Ref. 37. The Gross-Kohn interpolation formula for (formula presented) does, however, reduce to the ALDA for (formula presented)
    • It is often stated, not quite accurately, that the Gross-Kohn approximation reduces to the ALDA in the (formula presented) limit. In fact, it turns out that (formula presented), as pointed out in Ref. 37. The Gross-Kohn interpolation formula for (formula presented) does, however, reduce to the ALDA for (formula presented).
  • 23
    • 36149008601 scopus 로고
    • W. Kohn, Phys. Rev. 123, 1242 (1961);
    • (1961) Phys. Rev. , vol.123 , pp. 1242
    • Kohn, W.1
  • 31
    • 85038340365 scopus 로고    scopus 로고
    • The factor (formula presented) that usually multiplies the interaction (formula presented) has been absorbed in the vector potential
    • The factor (formula presented) that usually multiplies the interaction (formula presented) has been absorbed in the vector potential.
  • 32
    • 0001030724 scopus 로고
    • The generalized Runge-Gross (RG) theorem concerning the uniqueness of (formula presented) is in fact more easily proved than the original RG theorem,1
    • The generalized Runge-Gross (RG) theorem concerning the uniqueness of (formula presented) is in fact more easily proved than the original RG theorem,1 seeS.K. Ghosh and A.K. Dhara, Phys. Rev. A 38, 1149 (1988).
    • (1988) Phys. Rev. A , vol.38 , pp. 1149
    • Ghosh, S.K.1    Dhara, A.K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.