Regular perturbation theory of relativistic corrections: II. Algebraic approximation

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 63, Issue 1, 2001, Pages 12508-12501

  Rutkowski, A ^a   Kozlowski R ^a   Rutkowska, D ^a  

^a UNIVERSITY OF WARMIA AND MAZURY IN OLSZTYN   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; EIGENVALUES AND EIGENFUNCTIONS; ELECTRONS; FINITE DIFFERENCE METHOD; ITERATIVE METHODS; MATHEMATICAL MODELS; MATRIX ALGEBRA; PERTURBATION TECHNIQUES; POSITRONS; RAYLEIGH SCATTERING;

HYLLERAAS FUNCTIONALS; SCHRODINGER EQUATION;

QUANTUM THEORY;

EID: 7544226630     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.63.012508     Document Type: Article

References (35)

1. E. R. Cohen and B. N. Taylor, The 1986 Adjustment of the Fundamental Physical Constants, CODATA Bulletin 63 (Pergamon, New York, 1986).
2. J. D. Morrison and R. E. Moss, Mol. Phys. 41, 491 (1980).
3. W. Kutzelnigg, Z. Phys. D: At., Mol. Clusters 11, 15 (1989); 15, 27 (1990).
4. W. Kutzelnigg, Z. Phys. D: At., Mol. Clusters 11, 15 (1989); 15, 27 (1990).
5. W. Kutzelnigg, E. Ottschofski, and R. Franke, J. Chem. Phys. 102, 1740 (1995); E. Otschowski and W. Kutzelnigg, ibid. 102, 1752 (1995); W. Kutzelnigg, Phys. Rev. A 54, 1183 (1996).
6. W. Kutzelnigg, E. Ottschofski, and R. Franke, J. Chem. Phys. 102, 1740 (1995); E. Otschowski and W. Kutzelnigg, ibid. 102, 1752 (1995); W. Kutzelnigg, Phys. Rev. A 54, 1183 (1996).
7. W. Kutzelnigg, E. Ottschofski, and R. Franke, J. Chem. Phys. 102, 1740 (1995); E. Otschowski and W. Kutzelnigg, ibid. 102, 1752 (1995); W. Kutzelnigg, Phys. Rev. A 54, 1183 (1996).
8. R. A. Moore, Can. J. Phys. 53, 1240 (1975); 53, 1247 (1975); 53, 1251 (1975).
9. R. A. Moore, Can. J. Phys. 53, 1240 (1975); 53, 1247 (1975); 53, 1251 (1975).
10. R. A. Moore, Can. J. Phys. 53, 1240 (1975); 53, 1247 (1975); 53, 1251 (1975).
11. A. Rutkowski, J. Phys. B 19, 149 (1986).
12. A. Rutkowski, Phys. Rev. A 53, 145 (1996).
13. J. M. Levy-Leblond, J. Math. Phys. 4, 776 (1963); Commun. Math. Phys. 4, 167 (1967); 6, 286 (1967).
14. J. M. Levy-Leblond, J. Math. Phys. 4, 776 (1963); Commun. Math. Phys. 4, 167 (1967); 6, 286 (1967).
15. J. M. Levy-Leblond, J. Math. Phys. 4, 776 (1963); Commun. Math. Phys. 4, 167 (1967); 6, 286 (1967).
16. K. Veselič, Commun. Math. Phys. 22, 27 (1971); W. Huzinker, ibid. 40, 215 (1975); F. Gesztesy, H. Grosse, and B. Thaller, Ann. Inst. Henri Poincaré Phys. Theor. 40, 159 (1984); Adv. Appl. Math. 6, 159 (1985); G. B. White, Ann. Inst. Henri Poincaré Phys. Theor. 53, 109 (1990); B. Thaller, The Dirac Equation (Springer, Berlin, 1992).
17. K. Veselič, Commun. Math. Phys. 22, 27 (1971); W. Huzinker, ibid. 40, 215 (1975); F. Gesztesy, H. Grosse, and B. Thaller, Ann. Inst. Henri Poincaré Phys. Theor. 40, 159 (1984); Adv. Appl. Math. 6, 159 (1985); G. B. White, Ann. Inst. Henri Poincaré Phys. Theor. 53, 109 (1990); B. Thaller, The Dirac Equation (Springer, Berlin, 1992).
18. K. Veselič, Commun. Math. Phys. 22, 27 (1971); W. Huzinker, ibid. 40, 215 (1975); F. Gesztesy, H. Grosse, and B. Thaller, Ann. Inst. Henri Poincaré Phys. Theor. 40, 159 (1984); Adv. Appl. Math. 6, 159 (1985); G. B. White, Ann. Inst. Henri Poincaré Phys. Theor. 53, 109 (1990); B. Thaller, The Dirac Equation (Springer, Berlin, 1992).
19. K. Veselič, Commun. Math. Phys. 22, 27 (1971); W. Huzinker, ibid. 40, 215 (1975); F. Gesztesy, H. Grosse, and B. Thaller, Ann. Inst. Henri Poincaré Phys. Theor. 40, 159 (1984); Adv. Appl. Math. 6, 159 (1985); G. B. White, Ann. Inst. Henri Poincaré Phys. Theor. 53, 109 (1990); B. Thaller, The Dirac Equation (Springer, Berlin, 1992).
20. K. Veselič, Commun. Math. Phys. 22, 27 (1971); W. Huzinker, ibid. 40, 215 (1975); F. Gesztesy, H. Grosse, and B. Thaller, Ann. Inst. Henri Poincaré Phys. Theor. 40, 159 (1984); Adv. Appl. Math. 6, 159 (1985); G. B. White, Ann. Inst. Henri Poincaré Phys. Theor. 53, 109 (1990); B. Thaller, The Dirac Equation (Springer, Berlin, 1992).
21. K. Veselič, Commun. Math. Phys. 22, 27 (1971); W. Huzinker, ibid. 40, 215 (1975); F. Gesztesy, H. Grosse, and B. Thaller, Ann. Inst. Henri Poincaré Phys. Theor. 40, 159 (1984); Adv. Appl. Math. 6, 159 (1985); G. B. White, Ann. Inst. Henri Poincaré Phys. Theor. 53, 109 (1990); B. Thaller, The Dirac Equation (Springer, Berlin, 1992).
22. E. A. Hylleraas, Z. Phys. D: At., Mol. Clusters 11, 209 (1930).
23. K. G. Dyall, I. P. Grant, and S. Wilson, J. Phys. B 17, 493 (1984); 17, L45 (1984).
24. K. G. Dyall, I. P. Grant, and S. Wilson, J. Phys. B 17, 493 (1984); 17, L45 (1984).
25. R. E. Stanton and S. Havrilak, J. Chem. Phys. 81, 1910 (1984).
26. W. H. E. Schwarz and H. Wallmeier, Mol. Phys. 46, 1045 (1981).
27. J. O. Hirschfelder, W. B. Brown, and S. T. Epstein, Adv. Quantum Chem. 1, 341 (1964).
28. A. Rutkowski, Phys. Scr. 38, 816 (1988).
29. R. Franke, Chem. Phys. Lett. 264, 495 (1997).
30. M. A. Krasnosielskij et al., Approximate Solutions to Operator Equations (Nauka, Moscow, 1969).
31. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes (Cambridge University Press, Cambridge, MA, 1986).
32. A. Rutkowski, J. Phys. B 19, 3443 (1986).
33. H. Wallmeier and W. Kutzelnigg, Chem. Phys. Lett. 78, 341 (1981).
34. M. Shinada, J. Phys. B 23, 2347 (1990).
35. A. Rutkowski and R. Kozlowski, J. Phys. B 30, 1437 (1997).