Techniques in analytic lamb shift calculations

Modern Physics Letters A

Volumn 20, Issue 30, 2005, Pages 2261-2276

  Jentschura, Ulrich D ^a  

^a MAX PLANCK INSTITUT FÜR KERNPHYSIK   (Germany)

Author keywords

Atomic physics; Bound states; Quantum electrodynamics

Indexed keywords

EID: 24944433253     PISSN: 02177323     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217732305018256     Document Type: Short Survey

References (46)

1. R. P. Feynman, Phys. Rev. 74, 1430 (1948).
2. N. M. Kroll and W. E. Lamb, Phys. Rev. 75, 388 (1949).
3. J. B. French and V. F. Weisskopf, Phys. Rev. 75, 1240 (1949).
4. R. P. Feynman, Phys. Rev. 76, 769 (1949).
5. V. B. Berestetskii, E. M. Lifshitz and L. P. Pitaevskii, Quantum Electrodynamics (Pergamon Press, 1982).
6. W. E. Caswell and G. P. Lepage, Phys. Lett. B167, 437 (1986).
7. T. Kinoshita and M. Nio, Phys. Rev. D53, 4909 (1996).
8. M. Nio and T. Kinoshita, Phys. Rev. D55, 7267 (1997).
9. A. Pineda and J. Soto, Phys. Rev. D59, 016005 (1998).
10. M. Niering, R. Holzwarth, J. Reichert, P. Pokasov, T. Udem, M. Weitz, T. W. Hänsch, P. Lemonde, G. Santarelli, M. Abgrall, P. Laurent, C. Salomon and A. Clairon, Phys. Rev. Lett. 84, 5496 (2000).
11. T. Udem, A. Huber, B. Gross, J. Reichert, M. Prevedelli, M. Weitz and T. W. Hänsch, Phys. Rev. Lett. 79, 2646 (1997).
12. B. de Beauvoir, F. Nez, L. Julien, B. Cagnac, F. Biraben, D. Touahri, L. Hilico, O. Acef, A. Clairon and J. J. Zondy, Phys. Rev. Lett. 78, 440 (1997).
13. U. Jentschura and K. Pachucki, Phys. Rev. A54, 1853 (1996).
14. U. D. Jentschura, S. Kotochigova, E.-O. Le Bigot, P. J. Mohr and B. N. Taylor, Precise calculation of hydrogenic energy levels using the method of least squares, submitted to Phys. Rev. Lett. (2005).
15. P. J. Mohr and B. N. Taylor, Rev. Mod. Phys. 77, 1 (2005).
16. A. Poquerusse, Phys. Lett. A82, 232 (1981).
17. U. D. Jentschura, J. Phys. A36, L229 (2003).
18. U. D. Jentschura, E.-O. Le Bigot, P. J. Mohr, P. Indelicato and G. Soff, Phys. Rev. Lett. 90, 163001 (2003).
19. S. Wolfram, Mathematica-A System for Doing Mathematics by Computer (Addison-Wesley, 1988).
20. E.-O. Le Bigot, U. D. Jentschura, P. J. Mohr, P. Indelicato and G. Soff, Phys. Rev. A68, 042101 (2003).
21. K. Pachucki, Ann. Phys. (N. Y.) 226, 1 (1993).
22. U. D. Jentschura, Theory of the Lamb Shift in Hydrogenlike Systems, hep-ph/0305065;
23. based on an unpublished "Master Thesis: The Lamb Shift in Hydrogen-like Systems", (in German: "Theorie der Lamb-Verschiebung in wasserstoffartigen Systemen"), Ludwig-Maximilians-University of Munich, Germany (1996).
24. C. Itzykson and J. B. Zuber, Quantum Field Theory (McGraw-Hill, 1980).
25. U. D. Jentschura and K. Pachucki, J. Phys. A35, 1927 (2002).
26. U. D. Jentschura, C. H. Keitel and K. Pachucki, Can. J. Phys. 80, 1213 (2002).
27. U. D. Jentschura, J. Evers, C. H. Keitel and K. Pachucki, New J. Phys. 4, 49 (2002).
28. K. Pachucki, Phys. Rev. A69, 052502 (2004).
29. U. D. Jentschura, G. Soff and P. J. Mohr, Phys. Rev. A56, 1739 (1997).
30. R. A. Swainson and G. W. F. Drake, J. Phys. A24, 79 (1991).
31. R. A. Swainson and G. W. F. Drake, J. Phys. A24, 95 (1991).
32. R. A. Swainson and G. W. F. Drake, J. Phys. A24, 1801 (1991).
33. S. Salomonson and P. Öster, Phys. Rev. A40, 5559 (1989).
34. K. Pachucki and U. D. Jentschura, Phys. Rev. Lett. 91, 113005 (2003).
35. U. D. Jentschura, Phys. Rev. A70, 052108 (2004).
36. K. Pachucki, J. Phys. B32, 137 (1999).
37. A. Pineda, Phys. Rev. A66, 062108 (2002).
38. A. Pineda, Phys. Rev. D66, 054022 (2002).
39. J. Sapirstein and D. R. Yennie, in Quantum Electrodynamics, Advanced Series on Directions in High Energy Physics, Vol. 7, ed. T. Kinoshita (World Scientific, 1990), pp. 560-672.
40. P. J. Mohr and B. N. Taylor, Rev. Mod. Phys. 72, 351 (2000).
41. H. A. Bethe, Phys. Rev. 72, 339 (1947).
42. U. D. Jentschura, P. J. Mohr and G. Soff, Phys. Rev. Lett. 82, 53 (1999).
43. U. D. Jentschura, P. J. Mohr and G. Soff, Phys. Rev. A63, 042512 (2001).
44. U. D. Jentschura and P. J. Mohr, Phys. Rev. A69, 064103 (2004).
45. U. D. Jentschura, P. J. Mohr, G. Soff and E. J. Weniger, Comput. Phys. Commun. 116, 28 (1999).
46. S. V. Aksenov, M. A. Savageau, U. D. Jentschura, J. Becher, G. Soff and P. J. Mohr, Comput. Phys. Commun. 150, 1 (2003).