Hylleraas method for many-electron atoms. II. Integrals over wave functions with one interelectronic coordinate

International Journal of Quantum Chemistry

Volumn 101, Issue 3, 2005, Pages 261-273

  Ruiz, María Belén ^a  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

Hylleraas method; Integrals; One interelectronic coordinate

Indexed keywords

ATOMS; GROUND STATE; HAMILTONIANS; INTEGER PROGRAMMING; INTEGRAL EQUATIONS; KINETIC ENERGY; OPTIMIZATION; POLYNOMIALS; QUANTUM THEORY;

HYLLERAAS METHOD; INTEGRALS; ONE INTERELECTRONIC COORDINATE; SLATER ORBITALS;

ATOMIC PHYSICS;

EID: 11944261547     PISSN: 00207608     EISSN: None     Source Type: Journal    
DOI: 10.1002/qua.20198     Document Type: Article

References (38)

1. Hylleraas, E. A. Z Phys 1929, 54, 347.
2. Ruiz, M. B. Int J Quantum Chem 2004 (to appear).
3. Hylleraas, E. A. Adv Quantum Chem 1964, 1, 1.
4. Pekeris, C. L. Phys Rev 1958, 112, 1649; 1959, 115, 1216.
5. Pekeris, C. L. Phys Rev 1958, 112, 1649; 1959, 115, 1216.
6. Drake, G. W. F. Phys Rev Lett 1987, 59, 1549; Yan, Z.-C; Drake, G. W. F. Phys Rev A 2002, 66, 042504.
7. Drake, G. W. F. Phys Rev Lett 1987, 59, 1549; Yan, Z.-C; Drake, G. W. F. Phys Rev A 2002, 66, 042504.
8. Schwartz, C. J Comp Methods in S&E 2004; e-Print arXiv: physics/0208004 (in press).
9. Drake, G. W. F.; Cassar, M. M.; Nistor, R. A. Phys Rev A: At Mol Opt Phys 2002, 65, 054501.
10. James, H. M.; Coolidge, A. S. Phys Rev 1936, 49, 688.
11. Larsson, S. Phys Rev 1968, 169, 49; Phys Rev A: At Mol Opt Phys 1972, 6, 1786.
12. Larsson, S. Phys Rev 1968, 169, 49; Phys Rev A: At Mol Opt Phys 1972, 6, 1786.
13. King, F. W.; Shoup, V. Phys Rev A: At Mol Opt Phys 1986, 33, 2940. King, F. W. Advances in Atomic and Molecular Physics; Academic Press: San Diego, CA, 1999; Vol. 40, p 57.
14. King, F. W.; Shoup, V. Phys Rev A: At Mol Opt Phys 1986, 33, 2940. King, F. W. Advances in Atomic and Molecular Physics; Academic Press: San Diego, CA, 1999; Vol. 40, p 57.
15. McKenzie, D. K.; Drake, G. W. F. Phys Rev A: At Mol Opt Phys 1991, 44, R6973.
16. Yan, Z.-C.; Drake, G. W. F. Phys Rev A: At Mol Opt Phys 1995, 52, 3711.
17. Szasz, L.; Byrne, J. Phys Rev 1967, 158, 34.
18. Gentner, R. F.; Burke, E. A. Phys Rev 1968, 176, 63.
19. Perkins, J. F. Phys Rev A: At Mol Opt Phys 1973, 8, 700.
20. Sims, J. S.; Hagstrom, S. A. Phys Rev A: At Mol Opt Phys 1971, 4, 908; Sims, J. S.; Hagstrom, S. A. Int J Quantum Chem 1975, 9, 149.
21. Sims, J. S.; Hagstrom, S. A. Phys Rev A: At Mol Opt Phys 1971, 4, 908; Sims, J. S.; Hagstrom, S. A. Int J Quantum Chem 1975, 9, 149.
22. Kleindienst, H.; Lüchow, A. Int J Quantum Chem 1993, 45, 85.
23. Büsse, G.; Kleindienst, H.; Lüchow, A. Int J Quantum Chem 1998, 66, 241; Büsse, G.; Kleindienst, H.; Lüchow, A. Int J Quantum Chem 1995, 53, 575.
24. Büsse, G.; Kleindienst, H.; Lüchow, A. Int J Quantum Chem 1998, 66, 241; Büsse, G.; Kleindienst, H.; Lüchow, A. Int J Quantum Chem 1995, 53, 575.
25. Sims, J. S.; Hagstrom, S. A. Int J Quantum Chem 2002, 90, 1600.
26. Öhrn, Y.; Nordling, J. J Chem Phys 1963, 39, 1864.
27. Frolov, A. M.; Smith, V. H. Int J Quantum Chem 1997, 63, 269.
28. Condon, E. U.; Shortley, G. H. The Theory of Atomic Spectra; Cambridge University Press: London, 1967.
29. Perkins, J. F. J Chem Phys 1968, 48, 1985.
30. Sack, R. A. J Math Phys 1964, 5, 245.
31. Calais, J.-L.; Löwdin, P.-O. J Mol Spectrosc 1962, 8, 203.
32. Perkins, J. F. J Chem Phys 1969, 50, 2819.
33. Pelzl, P. J.; King, F. W. Phys Rev E: Stat Phys Plasmas Fluids Relat Interdiscip Top 1998, 57, 7268; Pelzl, P. J.; Smethells, G. J.; King, F. W. Phys Rev E: Stat Phys Plasmas Fluids Relat Interdiscip Top 2002, 65, 036707.
34. Pelzl, P. J.; King, F. W. Phys Rev E: Stat Phys Plasmas Fluids Relat Interdiscip Top 1998, 57, 7268; Pelzl, P. J.; Smethells, G. J.; King, F. W. Phys Rev E: Stat Phys Plasmas Fluids Relat Interdiscip Top 2002, 65, 036707.
35. Yan, Z.-C.; Drake, G. W. F. Phys Rev A: At Mol Opt Phys 1995, 52, 3681.
36. Sims, J. S.; Hagstrom, S. A. J Chem Phys 1971, 55, 4699.
37. Yan, Z.-C.; Drake, G. W. F. J Phys B: At Mol Opt Phys 1997, 30, 4723.
38. King, F. W. J Chem Phys 1993, 99, 3622.