Attempts toward a pair density functional theory

International Journal of Quantum Chemistry

Volumn 60, Issue 7, 1996, Pages 1361-1374

  Ziesche, Paul ^a  

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

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2442453001     PISSN: 00207608     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-461X(1996)60:7<1361::AID-QUA18>3.0.CO;2-7     Document Type: Article

References (104)

1. A. K. Rajagopal, Adv. Chem. Phys. 41, 59 (1980); A. S. Bamzai and B. M. Deb, Rev. Mod. Phys. 53, 95 (1981).
2. A. K. Rajagopal, Adv. Chem. Phys. 41, 59 (1980); A. S. Bamzai and B. M. Deb, Rev. Mod. Phys. 53, 95 (1981).
3. J. Keller and J. L. Gázquez, Eds., Density Functional Theory (Springer, Berlin, 1983).
4. R. G. Parr, Ann. Rev. Phys. Chem. 34, 631 (1983).
5. P. Ziesche and G. Lehmann, Eds., Ergebnisse in der Elektronentheorie der Metalle (Akademie Verlag und Springer Verlag, Berlin, 1983); G. Lehmann and P. Ziesche, Electronic Properties of Metals (Elsevier, Amsterdam, 1990); see also [73].
6. P. Ziesche and G. Lehmann, Eds., Ergebnisse in der Elektronentheorie der Metalle (Akademie Verlag und Springer Verlag, Berlin, 1983); G. Lehmann and P. Ziesche, Electronic Properties of Metals (Elsevier, Amsterdam, 1990); see also [73].
7. J. Callaway and N. H. March, Solid State Phys. 38, 135 (1984).
8. J. P. Dahl and J. Avery, Eds., Local Density Approximation in Quantum Chemistry and Solid State Physics (Plenum, New York, 1984).
9. R. M. Dreizler and J. da Providência, Eds., Density Functional Methods in Physics (Plenum, New York, 1985).
10. R. Erdahl and V. H. Smith, Jr., Eds., Density Matrices and Density Functionals (Reidel, Dordrecht, 1987).
11. N. H. March and B. M. Deb, The Single-Particle Density in Physics and Chemistry (Academic, New York, 1987).
12. R. G. Parr and W. Yang, Density Functional Theory of Atoms and Molecules (Oxford University, New York, 1989); A. Goursot and H. Chermette, Eds., J. Chim. Phys. Physicochim. Biol. 86(4), 647, 1989, special issue on application of density functional theory to properties of inorganic systems; E. Clementi and S. J. Chakravorty, A Comparative Study of Density Functional Models to Estimate Molecular Atomization Energies, IBM Research Report, KGN-215, 1990.
13. R. G. Parr and W. Yang, Density Functional Theory of Atoms and Molecules (Oxford University, New York, 1989); A. Goursot and H. Chermette, Eds., J. Chim. Phys. Physicochim. Biol. 86(4), 647, 1989, special issue on application of density functional theory to properties of inorganic systems; E. Clementi and S. J. Chakravorty, A Comparative Study of Density Functional Models to Estimate Molecular Atomization Energies, IBM Research Report, KGN-215, 1990.
14. R. G. Parr and W. Yang, Density Functional Theory of Atoms and Molecules (Oxford University, New York, 1989); A. Goursot and H. Chermette, Eds., J. Chim. Phys. Physicochim. Biol. 86(4), 647, 1989, special issue on application of density functional theory to properties of inorganic systems; E. Clementi and S. J. Chakravorty, A Comparative Study of Density Functional Models to Estimate Molecular Atomization Energies, IBM Research Report, KGN-215, 1990.
15. E. S. Kryachko and E. V. Ludena, Energy Density Functional Theory of Many-Electron Systems (Kluwer, Dordrecht, 1990).
16. S. B. Trickey, Ed., Density Functional Theory of Many-Fermion Systems, Adv. in Quantum Chem. 21 (Academic, San Diego, 1990).
17. R. M. Dreizler and E. K. U. Gross, Density Functional Theory (Springer, Berlin, 1990).
18. J. K. Labanowski and J. W. Andzelm, Eds., Density Functional Methods in Chemistry (Springer, Berlin, 1991).
19. N. H. March, Electron Density Theory of Atoms and Molecules (Academic, London, 1992).
20. N. Russo, Ed., Int. J. Quantum Chem. 52(4), (1994) [special issue].
21. E. K. U. Gross and R. M. Dreizler, Eds., Density Functional Theory (Plenum, New York, 1995).
22. D. E. Ellis, Ed., Density Functional Theory of Molecules, Clusters, and Solids (Kluwer, Dordrecht, 1995).
23. D. P. Chong, Ed., Recent Advances in Density Functional Methods, Part I, Rec. Adv. in Comput. Chem. 1 (World Scientific, Singapore, 1995); J. M. Seminario and P. Politzer, Eds., Modern Density Functional Theory: A Tool for Chemistry, Theor. Comput. Chem. 2 (Elsevier, Amsterdam, 1995).
24. D. P. Chong, Ed., Recent Advances in Density Functional Methods, Part I, Rec. Adv. in Comput. Chem. 1 (World Scientific, Singapore, 1995); J. M. Seminario and P. Politzer, Eds., Modern Density Functional Theory: A Tool for Chemistry, Theor. Comput. Chem. 2 (Elsevier, Amsterdam, 1995).
25. R. F. Nalewajski, Ed., Topics in Current Chemistry (Springer, Berlin, 1995); R. F. Nalewajski, Ed., Int. J. Quantum Chem. 56(4, 5, 6) (1995) [special issues].
26. R. F. Nalewajski, Ed., Topics in Current Chemistry (Springer, Berlin, 1995); R. F. Nalewajski, Ed., Int. J. Quantum Chem. 56(4, 5, 6) (1995) [special issues].
27. B. B. Laird, R. Ross, and T. Ziegler, Eds., Chemical Applications of Density Functional, American Chemical Society Symposium Series (American Chemical Society, Washington, DC, 1996.
28. C. A. Ullrich and E. K. U. Gross, Austral. J. Phys. 49, 103 (1996); M. Petersilka, U. J. Gossmann, and E. K. U. Gross, Phys. Rev. Lett. 76, 1212 (1996); M. Bünner, J. F. Dobson, and E. K. U. Gross, submitted.
29. C. A. Ullrich and E. K. U. Gross, Austral. J. Phys. 49, 103 (1996); M. Petersilka, U. J. Gossmann, and E. K. U. Gross, Phys. Rev. Lett. 76, 1212 (1996); M. Bünner, J. F. Dobson, and E. K. U. Gross, submitted.
30. M. A. Buijse, Ph.D. Thesis, Vrije Universiteit Amsterdam, 1991; R. van Leeuwen, Ph.D. Thesis, Vrije Universiteit Amsterdam, 1994; P. Süle, O. V. Gritsenko, A. Nagy, and E. J. Baerends, J. Chem. Phys. 103, 10085 (1995); O. V. Gritsenko, R. van Leeuwen, and E. J. Baerends, to appear.
31. M. A. Buijse, Ph.D. Thesis, Vrije Universiteit Amsterdam, 1991; R. van Leeuwen, Ph.D. Thesis, Vrije Universiteit Amsterdam, 1994; P. Süle, O. V. Gritsenko, A. Nagy, and E. J. Baerends, J. Chem. Phys. 103, 10085 (1995); O. V. Gritsenko, R. van Leeuwen, and E. J. Baerends, to appear.
32. M. A. Buijse, Ph.D. Thesis, Vrije Universiteit Amsterdam, 1991; R. van Leeuwen, Ph.D. Thesis, Vrije Universiteit Amsterdam, 1994; P. Süle, O. V. Gritsenko, A. Nagy, and E. J. Baerends, J. Chem. Phys. 103, 10085 (1995); O. V. Gritsenko, R. van Leeuwen, and E. J. Baerends, to appear.
33. M. Levy, Phys. Rev. A52, R4313 (1995); M. Levy and A. Görling, Phys. Rev. B 53, 969 (1996); A. Seidl, A. Görling, P. Vogl, J. A. Majewski, and M. Levy, Phys. Rev. B 53, 3764 (1996).
34. M. Levy, Phys. Rev. A52, R4313 (1995); M. Levy and A. Görling, Phys. Rev. B 53, 969 (1996); A. Seidl, A. Görling, P. Vogl, J. A. Majewski, and M. Levy, Phys. Rev. B 53, 3764 (1996).
35. M. Levy, Phys. Rev. A52, R4313 (1995); M. Levy and A. Görling, Phys. Rev. B 53, 969 (1996); A. Seidl, A. Görling, P. Vogl, J. A. Majewski, and M. Levy, Phys. Rev. B 53, 3764 (1996).
36. J. P. Perdew and K. Burke, Int. J. Quantum Chem. 57, 309 (1996); K. Burke, J. P. Perdew, and M. Ernzerhof, to appear; J. P. Perdew, M. Ernzerhof, K. Burke, and A. Savin, to appear; J. P. Perdew, K. Burke, and Y. Wang, submitted; M. Emzerhof, K. Burke, and J. P. Perdew, J. Chem. Phys., in press; A. Zupan, J. P. Perdew, K. Burke, and M. Causá, submitted.
37. M. Levy and J. P. Perdew, in Density Functional Methods in Physics, R. M. Dreizler and J. da Providência, Eds. (Plenum, New York, 1985), p. 11.
38. E. R. Davidson, Reduced Density Matrices in Quantum Chemistry (Academic, New York, 1976). In a series of papers the "geometry of density matrices" has been studied: J. E. Harriman, Phys. Rev. A 17, 1249, 1257 (1978); Int. J. Quantum Chem. 15, 611 (1979); Phys. Rev. A 27, 632 (1983); for the asymptotics of RDMs, cf., e.g., K. A. Dawson and N. H. March, J. Chem. Phys. 82, 1967 (1985) and M. Ernzerhof et al. in Ref. [25]; for the "structure of Fermion density matrices" cf. A. J. Coleman, Rev. Mod. Phys. 35, 668 (1963); J. Math. Phys. 13, 214 (1972); and J. Low Temperature Phys. 74, 1 (1989) and references therein.
39. E. R. Davidson, Reduced Density Matrices in Quantum Chemistry (Academic, New York, 1976). In a series of papers the "geometry of density matrices" has been studied: J. E. Harriman, Phys. Rev. A 17, 1249, 1257 (1978); Int. J. Quantum Chem. 15, 611 (1979); Phys. Rev. A 27, 632 (1983); for the asymptotics of RDMs, cf., e.g., K. A. Dawson and N. H. March, J. Chem. Phys. 82, 1967 (1985) and M. Ernzerhof et al. in Ref. [25]; for the "structure of Fermion density matrices" cf. A. J. Coleman, Rev. Mod. Phys. 35, 668 (1963); J. Math. Phys. 13, 214 (1972); and J. Low Temperature Phys. 74, 1 (1989) and references therein.
40. E. R. Davidson, Reduced Density Matrices in Quantum Chemistry (Academic, New York, 1976). In a series of papers the "geometry of density matrices" has been studied: J. E. Harriman, Phys. Rev. A 17, 1249, 1257 (1978); Int. J. Quantum Chem. 15, 611 (1979); Phys. Rev. A 27, 632 (1983); for the asymptotics of RDMs, cf., e.g., K. A. Dawson and N. H. March, J. Chem. Phys. 82, 1967 (1985) and M. Ernzerhof et al. in Ref. [25]; for the "structure of Fermion density matrices" cf. A. J. Coleman, Rev. Mod. Phys. 35, 668 (1963); J. Math. Phys. 13, 214 (1972); and J. Low Temperature Phys. 74, 1 (1989) and references therein.
41. E. R. Davidson, Reduced Density Matrices in Quantum Chemistry (Academic, New York, 1976). In a series of papers the "geometry of density matrices" has been studied: J. E. Harriman, Phys. Rev. A 17, 1249, 1257 (1978); Int. J. Quantum Chem. 15, 611 (1979); Phys. Rev. A 27, 632 (1983); for the asymptotics of RDMs, cf., e.g., K. A. Dawson and N. H. March, J. Chem. Phys. 82, 1967 (1985) and M. Ernzerhof et al. in Ref. [25]; for the "structure of Fermion density matrices" cf. A. J. Coleman, Rev. Mod. Phys. 35, 668 (1963); J. Math. Phys. 13, 214 (1972); and J. Low Temperature Phys. 74, 1 (1989) and references therein.
42. E. R. Davidson, Reduced Density Matrices in Quantum Chemistry (Academic, New York, 1976). In a series of papers the "geometry of density matrices" has been studied: J. E. Harriman, Phys. Rev. A 17, 1249, 1257 (1978); Int. J. Quantum Chem. 15, 611 (1979); Phys. Rev. A 27, 632 (1983); for the asymptotics of RDMs, cf., e.g., K. A. Dawson and N. H. March, J. Chem. Phys. 82, 1967 (1985) and M. Ernzerhof et al. in Ref. [25]; for the "structure of Fermion density matrices" cf. A. J. Coleman, Rev. Mod. Phys. 35, 668 (1963); J. Math. Phys. 13, 214 (1972); and J. Low Temperature Phys. 74, 1 (1989) and references therein.
43. E. R. Davidson, Reduced Density Matrices in Quantum Chemistry (Academic, New York, 1976). In a series of papers the "geometry of density matrices" has been studied: J. E. Harriman, Phys. Rev. A 17, 1249, 1257 (1978); Int. J. Quantum Chem. 15, 611 (1979); Phys. Rev. A 27, 632 (1983); for the asymptotics of RDMs, cf., e.g., K. A. Dawson and N. H. March, J. Chem. Phys. 82, 1967 (1985) and M. Ernzerhof et al. in Ref. [25]; for the "structure of Fermion density matrices" cf. A. J. Coleman, Rev. Mod. Phys. 35, 668 (1963); J. Math. Phys. 13, 214 (1972); and J. Low Temperature Phys. 74, 1 (1989) and references therein.
44. E. R. Davidson, Reduced Density Matrices in Quantum Chemistry (Academic, New York, 1976). In a series of papers the "geometry of density matrices" has been studied: J. E. Harriman, Phys. Rev. A 17, 1249, 1257 (1978); Int. J. Quantum Chem. 15, 611 (1979); Phys. Rev. A 27, 632 (1983); for the asymptotics of RDMs, cf., e.g., K. A. Dawson and N. H. March, J. Chem. Phys. 82, 1967 (1985) and M. Ernzerhof et al. in Ref. [25]; for the "structure of Fermion density matrices" cf. A. J. Coleman, Rev. Mod. Phys. 35, 668 (1963); J. Math. Phys. 13, 214 (1972); and J. Low Temperature Phys. 74, 1 (1989) and references therein.
45. E. R. Davidson, Reduced Density Matrices in Quantum Chemistry (Academic, New York, 1976). In a series of papers the "geometry of density matrices" has been studied: J. E. Harriman, Phys. Rev. A 17, 1249, 1257 (1978); Int. J. Quantum Chem. 15, 611 (1979); Phys. Rev. A 27, 632 (1983); for the asymptotics of RDMs, cf., e.g., K. A. Dawson and N. H. March, J. Chem. Phys. 82, 1967 (1985) and M. Ernzerhof et al. in Ref. [25]; for the "structure of Fermion density matrices" cf. A. J. Coleman, Rev. Mod. Phys. 35, 668 (1963); J. Math. Phys. 13, 214 (1972); and J. Low Temperature Phys. 74, 1 (1989) and references therein.
46. D. Collins, Z. Naturforsch. A48(1/2), 68 (1993).
47. P. Ziesche, Int. J. Quantum Chem. 56, 363 (1995); P. Ziesche, in Information. New Questions to a Multidisciplinary Concept, K. Kornwachs and K. Jacoby, Eds. (Akademie Verlag, Berlin, 1996), p. 119.
48. P. Ziesche, Int. J. Quantum Chem. 56, 363 (1995); P. Ziesche, in Information. New Questions to a Multidisciplinary Concept, K. Kornwachs and K. Jacoby, Eds. (Akademie Verlag, Berlin, 1996), p. 119.
49. P. Gersdorf, W. John, J. P. Perdew, and P. Ziesche, preprint mpi-mks 95/09/001, Dresden, 1995, and Int. J. Quantum Chem., in press.
50. R. O. Esquivel, A. L. Rodríguez, R. P. Sagar, M. Hô, and V. H. Smith, Jr., Phys. Rev. A 54, 259 (1996); J. C. Ramirez, C. Soriano, R. O. Esquivel, R. P. Sagar, M. Hô, and V. H. Smith, Jr., to appear; M. Hô, R. P. Sagar, V. H. Smith, Jr., and R. O. Esquivel, J. Phys. B27, 5149 (1994) study atomic information entropies built up from position or momentum space densities.
51. R. O. Esquivel, A. L. Rodríguez, R. P. Sagar, M. Hô, and V. H. Smith, Jr., Phys. Rev. A 54, 259 (1996); J. C. Ramirez, C. Soriano, R. O. Esquivel, R. P. Sagar, M. Hô, and V. H. Smith, Jr., to appear; M. Hô, R. P. Sagar, V. H. Smith, Jr., and R. O. Esquivel, J. Phys. B27, 5149 (1994) study atomic information entropies built up from position or momentum space densities.
52. P.-O. Löwdin, in Density Matrices and Density Functionals, R. Erdahl and V. H. Smith, Jr., Eds. (Reidel, Dordrecht, 1987), p. 21.
53. C. Tsallis, J. Stat. Phys. 52, 479 (1988).
54. P. Fulde, Electron Correlation in Molecules and Solids (Springer, Berlin, 1991, 3rd enlarged edition, 1995).
55. R. Grobe, K. Rza̧żewski, and J. H. Eberly, J. Phys. B 27, L503 (1994).
56. P. Gersdorf, Ph.D. Thesis, TU Dresden, 1996.
57. P. Ziesche, Habilitation Thesis, TU Dresden 1967; P. Ziesche and V. A. Sagrebnov, JINR P4-8220, Dubna, 1974.
58. P. Ziesche, Habilitation Thesis, TU Dresden 1967; P. Ziesche and V. A. Sagrebnov, JINR P4-8220, Dubna, 1974.
59. R. Lenk, Ann. Physik (Leipzig) 19, 88 (1967).
60. R. F. Bader, Atoms in Molecules (Clarendon, Oxford, 1990), p. 332.
61. E. Krotscheck, Phys. Lett. A 190, 201 (1994).
62. P. Ziesche, Phys. Lett. A 195, 213 (1994).
63. A. Gonis, T. C. Schulthess, J. van Ek, and P. E. A. Turchi, Phys. Rev. Lett. 77, 2981 (1996); A. Gonis and T. C. Schulthess, to appear.
64. P. Ziesche, Solid State Commun. 82, 597 (1992).
65. A. J. Coleman, in Density Matrices and Density Functionals, E. Erdahl and V. H. Smith, Jr., Eds. (Reidel, Dordrecht, 1987), p. 5; a recent paper dealing with pairon distributions and the spectra of reduced Hamiltonians is A. J. Coleman, E. P. Yukalova, and V. I. Yukalov, Int. J. Quantum Chem. 54, 211 (1995).
66. A. J. Coleman, in Density Matrices and Density Functionals, E. Erdahl and V. H. Smith, Jr., Eds. (Reidel, Dordrecht, 1987), p. 5; a recent paper dealing with pairon distributions and the spectra of reduced Hamiltonians is A. J. Coleman, E. P. Yukalova, and V. I. Yukalov, Int. J. Quantum Chem. 54, 211 (1995).
67. M. Levy, Proc. Natl. Acad. Sci. USA 76, 6062 (1979); see also S. M. Valone, J. Chem. Phys. 73, 1344 (1980).
68. M. Levy, Proc. Natl. Acad. Sci. USA 76, 6062 (1979); see also S. M. Valone, J. Chem. Phys. 73, 1344 (1980).
69. T. Koga, J. Quantum Chem. 93, 5856 (1990).
70. P. Vashishta and K. S. Singwi, Phys. Rev. B 6, 875 (1972); G. Senatore and N. H. March, Rev. Mod. Phys. 66, 445 (1994).
71. P. Vashishta and K. S. Singwi, Phys. Rev. B 6, 875 (1972); G. Senatore and N. H. March, Rev. Mod. Phys. 66, 445 (1994).
72. L. Kleinman, Phys. Rev. 172, 383 (1968).
73. M. Taut, J. Phys.: Condens. Matter 4, 9595 (1992).
74. P. Ziesche, in Density Functional Theory, E. K. U. Gross and R. M. Dreizler, Eds. (Plenum, New York, 1995), p. 559 and references therein.
75. In V. H. Smith's group the Be GS was naturally analyzed and the largest GON was appreciably greater than 1 (they use the term "supergeminals" for such cases); very large GONs equalling [N/2] appear for very special wave functions ("extrem AGP"), cf. Ref. [8], p. 35, C. N. Yang, Rev. Mod. Phys. 34, 694 (1962), and F. Sasaki, Phys. Rev. 138, B1338 (1965).
76. In V. H. Smith's group the Be GS was naturally analyzed and the largest GON was appreciably greater than 1 (they use the term "supergeminals" for such cases); very large GONs equalling [N/2] appear for very special wave functions ("extrem AGP"), cf. Ref. [8], p. 35, C. N. Yang, Rev. Mod. Phys. 34, 694 (1962), and F. Sasaki, Phys. Rev. 138, B1338 (1965).
77. A. J. Coleman, in Quantum Statistics and the Many-Body Problem, S. B. Trickey, W. Kirk, and J. Dufty, Eds. (Plenum, New York, 1975), p. 239.
78. E. R. Davidson, Chem. Phys. Lett. 246, 209 (1995); earlier papers dealing with the N representability of the pair density are, e.g., M. B. Ruskai, Phys. Rev. 183, 129 (1969) and A5, 1336 (1972), cf. also Ref. [8] and references therein; A. Soirat, M. Flocco, and L. Massa, Int. J. Quantum Chem. 49, 291 (1994) deal with N-representable density functional density matrices.
79. E. R. Davidson, Chem. Phys. Lett. 246, 209 (1995); earlier papers dealing with the N representability of the pair density are, e.g., M. B. Ruskai, Phys. Rev. 183, 129 (1969) and A5, 1336 (1972), cf. also Ref. [8] and references therein; A. Soirat, M. Flocco, and L. Massa, Int. J. Quantum Chem. 49, 291 (1994) deal with N-representable density functional density matrices.
80. E. R. Davidson, Chem. Phys. Lett. 246, 209 (1995); earlier papers dealing with the N representability of the pair density are, e.g., M. B. Ruskai, Phys. Rev. 183, 129 (1969) and A5, 1336 (1972), cf. also Ref. [8] and references therein; A. Soirat, M. Flocco, and L. Massa, Int. J. Quantum Chem. 49, 291 (1994) deal with N-representable density functional density matrices.
81. E. R. Davidson, Chem. Phys. Lett. 246, 209 (1995); earlier papers dealing with the N representability of the pair density are, e.g., M. B. Ruskai, Phys. Rev. 183, 129 (1969) and A5, 1336 (1972), cf. also Ref. [8] and references therein; A. Soirat, M. Flocco, and L. Massa, Int. J. Quantum Chem. 49, 291 (1994) deal with N-representable density functional density matrices.
82. J. V. Ortiz, B. Weiner, and Y. Örn, Int. J. Quantum Chem. S15, 113 (1981).
83. M. Rosina, in Reduced Density Operators with Application to Physical and Chemical Systems (Queen's Papers in Pure and Applied Mathematics, No. 40), R. M. Erdahl, Ed. (Queen's University, Kingston, Ontario, 1974).
84. S. M. Valone and J. F. Capitani, Phys. Rev. A 23, 2127 (1981).
85. A. Savin, Phys. Rev. A 52, R1805 (1995).
86. M. Levy and A. Görling, Phys. Rev. A 52, R1808 (1995).
87. C. Valdemoro, Phys. Rev. A 45, 4462 (1992); F. Colmenero, C. Pérez del Valle, and C. Valdemoro, Phys. Rev. A 47, 971 and 979 (1993).
88. C. Valdemoro, Phys. Rev. A 45, 4462 (1992); F. Colmenero, C. Pérez del Valle, and C. Valdemoro, Phys. Rev. A 47, 971 and 979 (1993).
89. H. Nakatsuji, Phys. Rev. A 14, 41 (1976); H. Nakatsuji and K. Yasuda, Phys. Rev. Lett. 76, 1039 (1996).
90. H. Nakatsuji, Phys. Rev. A 14, 41 (1976); H. Nakatsuji and K. Yasuda, Phys. Rev. Lett. 76, 1039 (1996).
91. A. Holas and N. H. March, Int. J. Quantum Chem., in press.
92. J.-P. Blaizot and G. Ripka, Quantum Theory of Finite Systems (MIT Press, Cambridge/Massachusetts, 1986), p. 626.
93. P.-O. Löwdin, Int. J. Quantum Chem. 55, 77 (1995) and Int. J. Quantum Chem. 55 (2, 3) (1995).
94. P.-O. Löwdin, Int. J. Quantum Chem. 55, 77 (1995) and Int. J. Quantum Chem. 55 (2, 3) (1995).
95. T. L. Gilbert, Phys. Rev. B12, 2111 (1975).
96. R. A. Donnelly and R. G. Parr, J. Chem. Phys. 69, 4431 (1978).
97. E. Meron and J. Katriel, Phys. Lett. 61A, 19 (1977).
98. R. L. Henderson, Phys. Lett. 49A, 197 (1974).
99. E. Chacón and P. Tarazona, Phys. Rev. B37, 4013 (1988).
100. E. Clementi and G. Corongiu, in Methods and Techniques in Computational Chemistry (METECC-95), E. Clementi and G. Corongiu, Eds. (STEF, Cagliari, 1995), p. 1.
101. A. Eguiluz, 36th Sanibel Symposium (St. Augustine, Febr. 24-March 2, 1996).
102. M. Modi, M. Dolg, P. Fulde, and H. Stoll, J. Chem. Phys., in press.
103. I. Lindgren and J. Morrison, Atomic Many-Body Theory (Springer, Berlin, 1982).
104. P. Ziesche and H. Eschrig, Eds., Electronic Structure of Solids '93 (Akademie Verlag, Berlin, 1991).