Siegert-state expansion for nonstationary systems. II. The whole-axis problem

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 74, Issue 4, 2006, Pages

  Tolstikhin, Oleg I ^a  

^a KURCHATOV INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; INTEGRAL EQUATIONS;

NONSTATIONARY SYSTEMS; SIEGERT-STATE EXPANSION;

NONLINEAR SYSTEMS;

EID: 33750189405     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.74.042719     Document Type: Article

References (36)

1. A. J. F. Siegert, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.56.750 56, 750 (1939).
2. O. I. Tolstikhin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73. 062705 73, 062705 (2006).
3. O. I. Tolstikhin, V. N. Ostrovsky, and H. Nakamura, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.2026 79, 2026 (1997).
4. O. I. Tolstikhin, V. N. Ostrovsky, and H. Nakamura, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.58.2077 58, 2077 (1998).
5. G. V. Sitnikov and O. I. Tolstikhin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.032714 67, 032714 (2003).
6. O. I. Tolstikhin, I. Yu. Tolstikhina, and C. Namba, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.60.4673 60, 4673 (1999).
7. O. I. Tolstikhin, V. N. Ostrovsky, and H. Nakamura, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.042707 63, 042707 (2001).
8. E. L. Hamilton and C. H. Greene, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.263003 89, 263003 (2002).
9. K. Toyota and S. Watanabe, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.062504 68, 062504 (2003).
10. V. Kokoouline and C. H. Greene, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.133201 90, 133201 (2003);
11. V. Kokoouline and C. H. Greene, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.012703 68, 012703 (2003);
12. V. Kokoouline and C. H. Greene, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.032711 69, 032711 (2004).
13. G. V. Sitnikov and O. I. Tolstikhin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.022708 71, 022708 (2005).
14. V. N. Ostrovsky and N. Elander, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.052707 71, 052707 (2005);
15. V. N. Ostrovsky and N. Elander, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/j.cplett.2005.06.042 411, 155 (2005).
16. K. Toyota, T. Morishita, and S. Watanabe, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.062718 72, 062718 (2005).
17. S. Yoshida, S. Watanabe, C. O. Reinhold, and J. BurgdÃrfer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.60.1113 60, 1113 (1999).
18. S. Tanabe, S. Watanabe, N. Sato, M. Matsuzawa, S. Yoshida, C. Reinhold, and J. BurgdÃrfer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63. 052721 63, 052721 (2001).
19. R. Santra, J. M. Shainline, and C. H. Greene, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.032703 71, 032703 (2005).
20. K. Toyota (unpublished).
21. C. Bloch, Nucl. Phys. NUPHA7 0029-5582 10.1016/0029-5582(87)90058-7 4, 503 (1957).
22. R. G. Newton, Scattering Theory of Waves and Particles (Springer-Verlag, New York, 1982).
23. L. D. Landau and E. M. Lifshitz, Quantum Mechanics (Non-relativistic Theory) (Pergamon Press, Oxford, 1977).
24. N. B. Delone and V. P. Krainov, Atoms in Strong Light Fields, Springer Series in Chemical Physics (Springer, New York, 1985).
25. P. Agostini, F. Fabre, G. Mainfray, G. Petite, and N. K. Rahman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.42.1127 42, 1127 (1979).
26. R. R. Freeman, P. H. Bucksbaum, H. Milchberg, S. Darack, D. Schumacher, and M. E. Geusic, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.59.1092 59, 1092 (1987).
27. J. H. Eberly and J. Javanainen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.60.1346 60, 1346 (1988).
28. A. M. Dykhne and G. L. Yudin, Usp. Fiz. Nauk UFNAAG 0042-1294 125, 377 (1978)
29. A. M. Dykhne and G. L. Yudin, [Sov. Phys. Usp. SOPUAP 0038-5670 10.1070/PU1978v021n07ABEH005663 21, 549 (1978)].
30. D. Dimitrovski, E. A. Solovâev, and J. S. Briggs, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.043411 72, 043411 (2005).
31. L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Dover, New York, 1987).
32. W. Nicklich, H. Kumpfmller, H. Walther, X. Tang, H. Xu, and P. Lambropoulos, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69.3455 69, 3455 (1992).
33. X. Tang, A. Lyras, and P. Lambropoulos, J. Opt. Soc. Am. B JOBPDE 0740-3224 7, 4 (1990).
34. C. Meier and V. Engel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.3207 73, 3207 (1994).
35. A. Adler, A. Rachman, and E. Robinson, J. Phys. B JPAPEH 0953-4075 28, 5057 (1995)
36. A. Adler, A. Rachman, and E. Robinson, J. Phys. B JPAPEH 0953-4075 28, 5077 (1995).