Hartree approximation I: The fixed point approach

Journal of Mathematical Physics

Volumn 42, Issue 8, 2001, Pages 3390-3408

  Prodan, E ^a   Nordlander, P ^a  

^a RICE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035535304     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1379747     Document Type: Article

References (22)

1. D. Hartree, Proc. Cambridge Philos. Soc. 24, 89 (1928).
2. J. C. Slater, Phys. Rev. 35, 210 (1930).
3. V. Fock, Z. Phys. 61, 126 (1930).
4. E. H. Lieb and B. Simon, Commun. Math. Phys. 53, 185 (1977).
5. P. L. Lions, Commun. Math. Phys. 109, 33 (1987).
6. I. Catto, C. Le Bris, and P. L. Lions, mp-arc00-93, 1999.
7. N. W. Ashcroft and N. D. Mermin, Solid State Physics (Saunders College, Philadelphia, 1976).
8. E. Prodan, quant-ph/9905088, 1999.
9. A. L. Fetter and J. D. Walecka, Quantum Theory of Many-Particle Systems (McGraw-Hill, New York, 1971).
10. H. B. Schlegel and J. J. W. McDouall, "Do you have SCF stability and convergence problems?," in Computational Advances in Organic Chemistry (Kluwer Academic, New York, 1991).
11. V. Bonacic-Koutecky and J. Koutecky, Theor. Chim. Acta 36, 163 (1975).
12. J. Koutecky and V. Bonacic, J. Chem. Phys. 55, 2408 (1971).
13. G. Auchmuty and W. Jia, Model. Math. Anal. Numer. 28, 575 (1994).
14. E. Cances and C. Le Bris, Model. Math. Anal. Numer. 34, 749 (2000).
15. I. Catto, C. Le Bris, and P. L. Lions, The Mathematical Theory of Thermodynamics Limits: Thomas-Fermi Type Models (Oxford University Press, Oxford, 1998).
16. J. Feldman, J. Magnen, V. Rivasseau, and E. Trubowitz, CRM Proc. Lect. Notes 7, 29 (1994).
17. M. Reed and B. Simon, Methods of Modern Mathematical Physics. II. Fourier Analysis, Self-Adjointness (Academic, New York, 1975).
18. M. Reed and B. Simon, Methods of Modern Mathematical Physics (Academic, New York, 1978), Vol. IV.
19. B. Simon, Trace Ideals and Their Applications (Cambridge University Press, Cambridge, 1979).
20. H. Eschrig, The Fundamentals of Density Functional Theory (Teubner Verlagsgesellschaft, Stuttgart, 1996).
21. J. P. Perdew and A. Zunger, Phys. Rev. B 23, 5048 (1981).
22. J. P. Perdew and Y. Wang, Phys. Rev. B 45, 13244 (1992).