Kadanoff-Baym equations and non-Markovian Boltzmann equation in generalized T-matrix approximation

Journal of Mathematical Physics

Volumn 41, Issue 11, 2000, Pages 7458-7467

  Semkat, D ^a   Kremp, D ^a   Bonitz, M ^a  

^a UNIVERSITY OF ROSTOCK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034345690     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1286204     Document Type: Article

References (16)

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2. D. Kremp, D. Semkat, and M. Bonitz, in Progress in Nonequilibrium Green's Functions, edited by M. Bonitz (World Scientific, Singapore, 2000), p. 34 (archive: cond-mat/9911429).
3. L. P. Kadanoff and G. Baym, Quantum Statistical Mechanics (W. A. Benjamin, New York, 1962).
4. L. V. Keldysh, ZhETF 47, 1515 (1964) Sov. Phys. JETP 20, 235 (1965)].
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11. In order to present the equations in a compact way, we will use a representationless index notation with summation convention (Ref. 16). The indices include the time arguments, too, unless they are written explicitly.
12. D. Kremp, M. Bonitz, W. D. Kraeft, and M. Schlanges, Ann. Phys. (N.Y.) 258, 320 (1997).
13. IN in the argument of the functional derivative on the rhs of (13) is not written explicitly. However, it should be mentioned here, that there is a coupling between the equation for Σ and its adjoint.
14. We should mention here that, in the frame of the T-matrix approximation with bare interaction, the damping of the two-particle states is included on the one-particle level. A real two-particle damping would require to include into the T-matrix equation three-particle interactions, or the dynamical screening, respectively.
15. P. Lipavský, V. Špička, and B. Velický, Phys. Rev. B 34, 6933 (1986).
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