Siegert-state expansion for nonstationary systems. IV. Three-dimensional case

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 77, Issue 3, 2008, Pages

  Tolstikhin, Oleg I ^a  

^a KURCHATOV INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ELEMENTARY PARTICLES; LASER PULSES; PROBABILITY; SCHRODINGER EQUATION;

NONSTATIONARY SYSTEMS; SIEGERT-STATE EXPANSION;

THREE DIMENSIONAL;

EID: 40949138380     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.77.032712     Document Type: Article

References (50)

1. A. J. F. Siegert, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.56.750 56, 750 (1939).
2. O. I. Tolstikhin, V. N. Ostrovsky, and H. Nakamura, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.2026 79, 2026 (1997).
3. O. I. Tolstikhin, V. N. Ostrovsky, and H. Nakamura, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.58.2077 58, 2077 (1998).
4. G. V. Sitnikov and O. I. Tolstikhin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.032714 67, 032714 (2003).
5. K. Toyota, T. Morishita, and S. Watanabe, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.062718 72, 062718 (2005).
6. R. Santra, J. M. Shainline, and C. H. Greene, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.032703 71, 032703 (2005).
7. P. A. Batishchev and O. I. Tolstikhin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.062704 75, 062704 (2007).
8. S. Yoshida, S. Watanabe, C. O. Reinhold, and J. Burgdörfer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.60.1113 60, 1113 (1999).
9. O. I. Tolstikhin, I. Yu. Tolstikhina, and C. Namba, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.60.4673 60, 4673 (1999).
10. O. I. Tolstikhin, V. N. Ostrovsky, and H. Nakamura, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.042707 63, 042707 (2001).
11. S. Tanabe, S. Watanabe, N. Sato, M. Matsuzawa, S. Yoshida, C. O. Reinhold, and J. Burgdörfer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.052721 63, 052721 (2001).
12. E. L. Hamilton and C. H. Greene, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.263003 89, 263003 (2002).
13. K. Toyota and S. Watanabe, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.062504 68, 062504 (2003).
14. V. Kokoouline and C. H. Greene, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.133201 90, 133201 (2003)
15. V. Kokoouline and C. H. Greene, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.012703 68, 012703 (2003)
16. V. Kokoouline and C. H. Greene, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.032711 69, 032711 (2004).
17. Å. Larson, S. Tonzani, R. Santra, and C. H. Greene, J. Phys.: Conf. Ser. JPCSDZ 1742-6588 10.1088/1742-6596/4/1/020 4, 148 (2005).
18. G. V. Sitnikov and O. I. Tolstikhin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.022708 71, 022708 (2005).
19. V. N. Ostrovsky and N. Elander, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.052707 71, 052707 (2005)
20. V. N. Ostrovsky and N. Elander, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/j.cplett.2005.06.042 411, 155 (2005).
21. R. Curík and C. H. Greene, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.173201 98, 173201 (2007).
22. O. I. Tolstikhin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73. 062705 73, 062705 (2006).
23. O. I. Tolstikhin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74. 042719 74, 042719 (2006).
24. K. Toyota, O. I. Tolstikhin, T. Morishita, and S. Watanabe, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.043418 76, 043418 (2007).
25. O. I. Tolstikhin, preceding paper, Phys. Rev. A 77, 032711 (2008). 1050-2947
26. R. G. Newton, Scattering Theory of Waves and Particles (Springer-Verlag, New York, 1982).
27. Handbook of Mathematical Functions, edited by, M. Abramowitz, and, I. A. Stegun, (Dover, New York, 1972).
28. E. Grosswald, Bessel Polynomials, Lecture Notes in Mathematics, Vol. 698 (Springer-Verlag, New York, 1978).
29. V. A. Baskakov and A. V. Popov, Wave Motion WAMOD9 0165-2125 10.1016/0165-2125(91)90053-Q 14, 123 (1991).
30. K. B. Oldham and J. Spanier, The Fractional Calculus; Theory and Applications of Differentiation and Integration to Arbitrary Order (Academic Press, New York, 1974).
31. K. S. Miller and B. Ross, An Introduction to the Fractional Calculus and Fractional Differential Equations (Wiley, New York, 1993).
32. I. Podlubny, Fractional Differential Equations (Academic Press, San Diego, 1999).
33. H. A. Kramers, Collected Scientific papers (North-Holland, Amsterdam, 1956), p. 272.
34. W. C. Henneberger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 21.838 21, 838 (1968).
35. N. L. Manakov, M. V. Frolov, B. Borca, and A. F. Starace, J. Phys. B 36, R49 (2003). 0022-3700
36. D. Dimitrovski and E. A. Solov'ev, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/39/4/013 39, 895 (2006)
37. C. Arendt, D. Dimitrovski, and J. S. Briggs, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.023423 76, 023423 (2007).
38. R. Shakeshaft and X. Tang, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.36.3193 36, 3193 (1987).
39. C. Laughlin and Shih-I Chu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.48.4654 48, 4654 (1993).
40. A. M. Popov, O. V. Tikhonova, and E. A. Volkova, Laser Phys. 5, 1184 (1995). 1054-660X
41. K. Krajewska, I. I. Fabrikant, and A. F. Starace, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.053407 74, 053407 (2006).
42. A. M. Frolov, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/26/23/008 26, L845 (1993).
43. C. Schwartz, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.124.1468 124, 1468 (1961).
44. M. Gavrila, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/35/18/201 35, R147 (2002).
45. A. M. Popov, O. V. Tikhonova, and E. A. Volkova, J. Phys. B 36, R125 (2003). 0022-3700
46. D. O. Harris, G. G. Engerholm, and W. D. Gwinn, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1696963 43, 1515 (1965).
47. A. S. Dickinson and P. R. Certain, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1670738 49, 4209 (1968).
48. J. C. Light, I. P. Hamilton, and J. V. Lill, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.448462 82, 1400 (1985).
49. 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).
50. M. Gavrila and J. Z. Kaminski, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.52.613 52, 613 (1984).