Comparison of classical and second quantized description of the dynamic Stark shift

American Journal of Physics

Volumn 74, Issue 1, 2006, Pages 77-81

  Haas, M ^a   Jentschura, U D ^a   Keitel, C H ^a  

^a MAX PLANCK INSTITUT FÜR KERNPHYSIK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 30844458809     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.2140742     Document Type: Article

References (21)

1. Th. Udem, R. Holzwarth, and T. W. Hänsch, "Optical frequency metrology," Nature (London) 416, 233-237 (2002).
2. G. Saathoff, S. Karpuk, U. Eisenbarth, G. Huber, S. Krohn, R. Muñoz Horta, S. Reinhardt, D. Schwalm, A. Wolf, and G. Gwinner, "Improved test of time dilation in special relativity," Phys. Rev. Lett. 91, 190403-1-4 (2003).
3. M. Niering, R. Holzwarth, J. Reichert, P. Pokasov, Th. Udem, M. Weitz, T. W. Hänsch, P. Lemonde, G. Santarelli, M. Abgrall, P. Laurent, C. Salomon, and A. Clairon, "Measurement of the Hydrogen 1S-2S transition frequency by phase coherent comparison with a microwave Cesium fountain clock," Phys. Rev. Lett. 84, 5496-5499 (2000).
4. The resonant case is described in detail in Ref. 5, pp. 291-298, and in Refs 6 and 7.
5. M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge University Press, Cambridge, 1999).
6. U. D. Jentschura and C. H. Keitel, "Radiative corrections in laser-dressed atoms: Formalism and applications," Ann. Phys. (N.Y.) 310, 1-55 (2004).
7. C. Cohen-Tannoudji, "Atoms in strong resonant fields," in Aux Frontières de la Spectroscopie Laser/Frontiers in Laser Spectroscopy, edited by R. Balian, S. Haroche, and S. Liberman (North-Holland, Amsterdam, 1975), pp. 4-104.
8. B. R. Mollow, "Power spectrum of light scattered by two-level systems," Phys. Rev. 188, 1969-1975 (1969).
9. U. D. Jentschura, J. Evers, M. Haas, and C. H. Keitel, "Lamb shift of laser-dressed atomic states," Phys. Rev. Lett. 91, 253601-1-4 (2003).
10. U. D. Jentschura, J. Evers, and C. H. Keitel, "Radiative corrections to multi-level Mollow-type spectra," Laser Phys. 15, 37-45 (2005).
11. J. Evers, U. D. Jentschura, and C. H. Keitel, "Relativistic and radiative corrections to the Mollow spectrum," Phys. Rev. A 70, 062111-1-20 (2004).
12. C. Cohen-Tannoudji, J. Dupont-Roc, and G. Grynberg, Atom-Photon Interactions (Wiley, New York, 1992). Part of our intention is to illustrate remarks in Chap. 2 (Complement E.2).
13. J. J. Sakurai, Modern Quantum Mechanics (Addison-Wesley, Reading, MA, 1994).
14. D. H. Kobe, "Gauge invariant derivation of the AC Stark shift, " J. Phys. B 16, 1159-1169 (1983).
15. For a review see P. J. Mohr, G. Plunien, and G. Soff, "QED corrections in heavy atoms," Phys. Rep. 293, 227-369 (1998), Sec. II.
16. M. Gell-Mann and F. Low, "Bound states in quantum field theory," Phys. Rev. 84, 350-354 (1951).
17. J. Sucher, "S-matrix formalism for level-shift calculations," Phys. Rev. 107, 1448-1449 (1957).
18. See pp. 9-13 and 54-55 of Ref 5.
19. W. Kuhn and J. Strnad, Quantenfeldtheorie (Vieweg, Wiesbaden, Germany, 1995). The electric field operator in the Schrödinger and Heisenberg pictures are given in Eqs. (4.3.3) and (4.3.4) on p. 104 of Ref. 18. This book also contains an elucidating discussion on uncertainty relations for measurements of the electric and magnetic field strengths at equal times and spatial coordinates.
20. K. Pachucki, "Simple derivation of helium Lamb shift," J. Phys. B 31, 5123-5133 (1998).
21. B. R. Holstein, "Effective interactions and the hydrogen atom, " Am. J. Phys. 72, 333-344 (2004).