The electron-gas pair density and its geminal representation: I. The geminal weight and its singularities

Physica Status Solidi (B) Basic Research

Volumn 241, Issue 15, 2004, Pages 3544-3555

  Ziesche, P ^a  

^a MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

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EID: 10844289649     PISSN: 03701972     EISSN: None     Source Type: Journal    
DOI: 10.1002/pssb.200402111     Document Type: Article

References (31)

1. J. C. Kimball, Phys. Rev. A 7, 1648 (1973). Therein the cusp theorem for antiparallel-spin pairs of the Coulomb hole is derived, whereas A. K. Rajagopal, J. C. Kimball, and M. Banerjee, Phys. Rev. B 18, 2339 (1978) present the curvature theorem for parallel-spin pairs of the Fermi hole.
2. J. C. Kimball, Phys. Rev. A 7, 1648 (1973). Therein the cusp theorem for antiparallel-spin pairs of the Coulomb hole is derived, whereas A. K. Rajagopal, J. C. Kimball, and M. Banerjee, Phys. Rev. B 18, 2339 (1978) present the curvature theorem for parallel-spin pairs of the Fermi hole.
3. A. W. Overhauser, Can. J. Phys. 73, 683 (1995).
4. P. Gori-Giorgi and J. P. Perdew, Phys. Rev. B 64, 155102 (2001).
5. P. Gori-Giorgi, in: A. Gonis et al. (eds.), Electron Correlations and Materials Properties 2 (Kluwer/Plenum, New York, 2002), p. 379.
6. M. Corona, P. Gori-Giorgi, and J. P. Perdew, Phys. Rev. B 69, 045108 (2004).
7. P. Gori-Giorgi and A. Savin, in preparation. Therein the Kimball-Overhauser approach is applied to finite systems.
8. B. Davoudi, M. Polini, R. Asgari, and M. P. Tosi, Phys. Rev. B 66, 075110 (2002).
9. B. Davoudi, M. Polini, R. Asgari, and M. P. Tosi, cond-mat/0206456.
10. B. Davoudi, R. Asgari, M. Polini, and M. P. Tosi, Phys. Rev. B 68, 155112 (2003).
11. I. Nagy, J. I. Juaristi, R. Díez Muiño, and P. M. Echenique, Phys. Rev. B 67, 073102 (2003). I. Nagy, R. Díez Muiño, J. I. Juaristi, and P. M. Echenique, Phys. Rev. B 69, 233105 (2004).
12. I. Nagy, J. I. Juaristi, R. Díez Muiño, and P. M. Echenique, Phys. Rev. B 67, 073102 (2003). I. Nagy, R. Díez Muiño, J. I. Juaristi, and P. M. Echenique, Phys. Rev. B 69, 233105 (2004).
13. P. Ziesche, Phys. Rev. B 67, 233102 (2003).
14. P. Ziesche, K. Pernal, and F. Tasnádi, phys. stat. sol. (b) 239, 185 (2003).
15. P. Ziesche and F. Tasnádi, Ann. Physik (Leipzig) 13, 232 (2004).
16. P. Ziesche and F. Tasnádi, Ann. Physik (Leipzig) 13, 124 (2004).
17. P. Ziesche, phys. stat. sol. (b) 232, 231 (2002).
18. P. Gori-Giorgi and P. Ziesche, Phys. Rev. B 66, 235116 (2002).
19. M. Vogt, R. Zimmermann, and R. J. Needs, Phys. Rev. B 69, 045113 (2004).
20. P. Ziesche, Solid State Commun. 82, 597 (1992).
21. P. Ziesche, in: Int. J. Quantum Chem. 90, 342 (2002) and in: A. Gonis et al. (eds.), Electron Correlations and Materials Properties 2 (Kluwer/Plenum, New York, 2002), p. 307.
22. P. Ziesche, in: Int. J. Quantum Chem. 90, 342 (2002) and in: A. Gonis et al. (eds.), Electron Correlations and Materials Properties 2 (Kluwer/Plenum, New York, 2002), p. 307.
23. L. Lewin, Dilogarithms and associated functions (Mcdonald, London, 1958). L. Lewin (ed.), Structural Properties of Polylogarithms (American Mathematical Society, 1991).
24. L. Lewin, Dilogarithms and associated functions (Mcdonald, London, 1958). L. Lewin (ed.), Structural Properties of Polylogarithms (American Mathematical Society, 1991).
25. Instead of contour integration one may alternatively apply the Kimball procedure [22] or integration by parts [23].
26. P. Gori-Giorgi, private communication, cf. [16] and refs. therein.
27. M. J. Lighthill, Introduction to Fourier Analysis and Generalized Functions (Cambridge University Press, Cambridge, 2003) (reprinted). - Applications are in: D. C. Langreth, Phys. Rev. B 5 2842 (1972). A. Isihara, Physica 71, 83 (1974) and Electron Liquids (Springer, Berlin, 1993). P. Ziesche and P. Gersdorf, phys. stat. sol. (b) 198, 645 (1996).
28. M. J. Lighthill, Introduction to Fourier Analysis and Generalized Functions (Cambridge University Press, Cambridge, 2003) (reprinted). - Applications are in: D. C. Langreth, Phys. Rev. B 5 2842 (1972). A. Isihara, Physica 71, 83 (1974) and Electron Liquids (Springer, Berlin, 1993). P. Ziesche and P. Gersdorf, phys. stat. sol. (b) 198, 645 (1996).
29. M. J. Lighthill, Introduction to Fourier Analysis and Generalized Functions (Cambridge University Press, Cambridge, 2003) (reprinted). - Applications are in: D. C. Langreth, Phys. Rev. B 5 2842 (1972). A. Isihara, Physica 71, 83 (1974) and Electron Liquids (Springer, Berlin, 1993). P. Ziesche and P. Gersdorf, phys. stat. sol. (b) 198, 645 (1996).
30. M. J. Lighthill, Introduction to Fourier Analysis and Generalized Functions (Cambridge University Press, Cambridge, 2003) (reprinted). - Applications are in: D. C. Langreth, Phys. Rev. B 5 2842 (1972). A. Isihara, Physica 71, 83 (1974) and Electron Liquids (Springer, Berlin, 1993). P. Ziesche and P. Gersdorf, phys. stat. sol. (b) 198, 645 (1996).
31. M. J. Lighthill, Introduction to Fourier Analysis and Generalized Functions (Cambridge University Press, Cambridge, 2003) (reprinted). - Applications are in: D. C. Langreth, Phys. Rev. B 5 2842 (1972). A. Isihara, Physica 71, 83 (1974) and Electron Liquids (Springer, Berlin, 1993). P. Ziesche and P. Gersdorf, phys. stat. sol. (b) 198, 645 (1996).