Range of validity for perturbative treatments of relativistic sum rules

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 68, Issue 4 A, 2003, Pages

  Cohen, Scott M ^a  

^a DUQUESNE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ATOMIC PHYSICS; ELECTRONIC DENSITY OF STATES; HAMILTONIANS; KINETIC ENERGY; MATHEMATICAL OPERATORS;

BETHE SUM RULE; RELATIVISTIC SUM RULES; THOMAS-REICHE-KUHN SUM RULE;

MOLECULAR PHYSICS;

EID: 0348107164     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (34)

1. H. Ågren et al., Phys. Rev. A 47, 3810 (1993).
2. Z.-C. Yan, J.-M. Zhu, and B.-L. Zhou, Phys. Rev. A 62, 034501 (2000).
3. M. Inokuti, Rev. Mod. Phys. 43, 297 (1971).
4. H. Bethe, Ann. Phys. (Paris) 5, 325 (1930).
5. H. Bethe, in Handbuch der Physik, edited by H. Geiger and K. Scheel (Springer, Berlin, 1933), Vol. 24, p. 273.
6. U. Fano, Annu. Rev. Nucl. Sci. 13, 1 (1963).
7. J.S. Levinger, M.L. Rustgi, and K. Okamoto, Phys. Rev. 106, 1191 (1957).
8. H.O. Dogliani and W.F. Bailey, J. Quant. Spectrosc. Radiat. Transf. 9, 1643 (1969).
9. T. Matsuura and K. Yazaki, Phys. Lett. 46B, 17 (1973).
10. J.L. Friar and S. Fallieros, Phys. Rev. C 11, 274 (1975).
11. K.-M. Schmitt and H. Arenhövel, Z. Phys. A 320, 311 (1985).
12. P.T. Leung, M.L. Rustgi, and S.A.T. Long, Phys. Rev. A 33, 2827 (1986).
13. G.A. Aucar, J. Oddershede, and J.R. Sabin, Phys. Rev. A 52, 1054 (1995).
14. S.M. Cohen and P.T. Leung, Phys. Rev. A 57, 4994 (1998).
15. H. Bichsel, Radiat. Res. 153, 208 (2000).
16. J. Ziegler, J. Appl. Phys. 85, 1249 (1999).
17. S.M. Cohen, Phys. Rev. A 68, 012720 (2003).
18. E. Merzbacher, Quantum Mechanics, 2nd ed. (Wiley, New York, 1970).
19. B. Lo, K. Saxena, and S. Fraga, Theor. Chim. Acta 25, 97 (1972).
20. K. Saxena, B. Lo, and S. Fraga, J. Phys. B 5, 768 (1972).
21. B. Lo, K. Saxena, and S. Fraga, Theor. Chim. Acta 24, 300 (1972).
22. L.L. Foldy and S.A. Wouthuysen, Phys. Rev. 78, 29 (1950).
23. J. Sakurai, Advanced Quantum Mechanics (Addison-Wesley, Reading, MA, 1982).
24. ee through the application of the FWT, such as the second Darwin and orbit-orbit terms, are small and will be dropped throughout the paper.
25. J. Sucher, Phys. Rev. A 22, 348 (1980).
26. M. Douglas and N. Kroll, Ann. Phys. (N.Y.) 82, 89 (1974).
27. B.A. Hess, Phys. Rev. A 33, 3742 (1986).
28. G. Jensen and B.A. Hess, Phys. Rev. A 39, 6016 (1989).
29. C.F. Fischer, At. Data 4, 301 (1972).
30. K. Huang et al., At. Data 18, 243 (1976).
31. F. Herman and S. Skillman, Atomic Structure Calculations (Prentice-Hall, Englewood Cliffs, NJ, 1963).
32. D.Y. Smith, Phys. Rev. A35, 3381 (1987).
33. Z. Chraplyvy, Phys. Rev. 91, 388 (1953).
34. Z. Chraplyvy, Phys. Rev. 92, 1310 (1953).