Application of Coulomb wave function discrete variable representation to atomic systems in strong laser fields

Journal of Chemical Physics

Volumn 125, Issue 15, 2006, Pages

  Peng, Liang You ^a   Starace, Anthony F ^a  

^a UNIVERSITY OF NEBRASKA LINCOLN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE DIFFERENCE METHOD; IONIZATION; LASER PULSES; NONLINEAR EQUATIONS;

ATOMIC SYSTEMS; COULOMB WAVE FUNCTIONS; DISCRETE VARIABLE REPRESENTATION (DVR);

WAVE EQUATIONS;

EID: 33750167101     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2358351     Document Type: Article

References (101)

1. T. Brabec and F. Krausz, Rev. Mod. Phys. 72, 545 (2000).
2. M. Protopapas, C. H. Keitel, and P. L. Knight, Rep. Prog. Phys. 60, 389 (1997).
3. P. Agostini and L. F. DiMauro, Rep. Prog. Phys. 0034-4885 10.1088/0034-4885/67/6/R01 67, 813 (2004); A. Scrinzi, M. Yu. Ivanov, R. Kienberger, and D. M. Villeneuve, J. Phys. B 39, R1 (2006).
4. P. Agostini and L. F. DiMauro, Rep. Prog. Phys. 0034-4885 10.1088/0034-4885/67/6/R01 67, 813 (2004); A. Scrinzi, M. Yu. Ivanov, R. Kienberger, and D. M. Villeneuve, J. Phys. B 39, R1 (2006).
5. A. Föhlisch, P. Feulner, F. Hennies, A. Fink, D. Menzel, D. Sanchez-Portal, P. M. Echenique, and W. Wurth, Nature (London) 0028-0836 10.1038/nature03833 436, 373 (2005); M. Wickenhauser, J. Burgdörfer, F. Krausz, and M. Drescher, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.94. 023002 94, 023002 (2005); K. Ohmori, H. Katsuki, H. Chiba, M. Honda, Y. Hagihara, K. Fujiwara, Y. Sato, and K. Ueda, Phys. Rev. Lett. 96, 093002 (2006).
6. A. Föhlisch, P. Feulner, F. Hennies, A. Fink, D. Menzel, D. Sanchez-Portal, P. M. Echenique, and W. Wurth, Nature (London) 0028-0836 10.1038/nature03833 436, 373 (2005); M. Wickenhauser, J. Burgdörfer, F. Krausz, and M. Drescher, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.94. 023002 94, 023002 (2005); K. Ohmori, H. Katsuki, H. Chiba, M. Honda, Y. Hagihara, K. Fujiwara, Y. Sato, and K. Ueda, Phys. Rev. Lett. 96, 093002 (2006).
7. A. Föhlisch, P. Feulner, F. Hennies, A. Fink, D. Menzel, D. Sanchez-Portal, P. M. Echenique, and W. Wurth, Nature (London) 0028-0836 10.1038/nature03833 436, 373 (2005); M. Wickenhauser, J. Burgdörfer, F. Krausz, and M. Drescher, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.94. 023002 94, 023002 (2005); K. Ohmori, H. Katsuki, H. Chiba, M. Honda, Y. Hagihara, K. Fujiwara, Y. Sato, and K. Ueda, Phys. Rev. Lett. 96, 093002 (2006).
8. M. V. Ammosov, N. B. Delone, and V. P. Krainov, Sov. Phys. JETP 64, 1191 (1986).
9. A. Becker and F. H. M. Faisal, J. Phys. B 38, R1 (2005).
10. P. G. Burke and V. M. Burke, J. Phys. B 30, L383 (1997).
11. S. I. Chu and D. A. Telnov, Phys. Rep. 390, 1 (2004).
12. M. A. L. Marques and E. K. U. Gross, Annu. Rev. Phys. Chem. 55, 427 (2004).
13. K. C. Kulander, Phys. Rev. A 35, 445 (1987).
14. H. G. Muller, Laser Phys. 1054-660X 9, 138 (1999); D. Bauer and P. Koval, Comput. Phys. Commun. 174, 396 (2006).
15. H. G. Muller, Laser Phys. 1054-660X 9, 138 (1999); D. Bauer and P. Koval, Comput. Phys. Commun. 174, 396 (2006).
16. E. S. Smyth, J. S. Parker, and K. T. Taylor, Comput. Phys. Commun. 0010-4655 10.1016/S0010-4655(98)00083-6 114, 1 (1998); K. T. Taylor, J. S. Parker, D. Dundas, K. J. Meharg, L.-Y. Peng, B. J. S. Doherty, and J. F. McCann, Phys. Scr., T 110, 154 (2004).
17. E. S. Smyth, J. S. Parker, and K. T. Taylor, Comput. Phys. Commun. 0010-4655 10.1016/S0010-4655(98)00083-6 114, 1 (1998); K. T. Taylor, J. S. Parker, D. Dundas, K. J. Meharg, L.-Y. Peng, B. J. S. Doherty, and J. F. McCann, Phys. Scr., T 110, 154 (2004).
18. L.-Y. Peng, J. F. McCann, D. Dundas, K. T. Taylor, and I. D. Williams, J. Chem. Phys. 120, 10046 (2004).
19. K. J. Meharg, J. S. Parker, and K. T. Taylor, J. Phys. B 38, 237 (2005).
20. S. Qu and J. H. Eberly, Phys. Rev. A 1050-2947 10.1103/PhysRevA.44.5997 44, 5997 (1991); M. S. Pindzola, P. Gavras, and T. W. Gorczyca, Phys. Rev. A 1050-2947 10.1103/PhysRevA.51.3999 51, 3999 (1995); V. V́niard, R. Taeb, and A. Maquet, Phys. Rev. A 1050-2947 10.1103/PhysRevA.60.3952 60, 3952 (1999); C. Ruiz, L. Plaja, and L. Roso, Phys. Rev. Lett. 94, 063002 (2005).
21. S. Qu and J. H. Eberly, Phys. Rev. A 1050-2947 10.1103/PhysRevA.44.5997 44, 5997 (1991); M. S. Pindzola, P. Gavras, and T. W. Gorczyca, Phys. Rev. A 1050-2947 10.1103/PhysRevA.51.3999 51, 3999 (1995); V. V́niard, R. Taeb, and A. Maquet, Phys. Rev. A 1050-2947 10.1103/PhysRevA.60.3952 60, 3952 (1999); C. Ruiz, L. Plaja, and L. Roso, Phys. Rev. Lett. 94, 063002 (2005).
22. S. Qu and J. H. Eberly, Phys. Rev. A 1050-2947 10.1103/PhysRevA.44.5997 44, 5997 (1991); M. S. Pindzola, P. Gavras, and T. W. Gorczyca, Phys. Rev. A 1050-2947 10.1103/PhysRevA.51.3999 51, 3999 (1995); V. V́niard, R. Taeb, and A. Maquet, Phys. Rev. A 1050-2947 10.1103/PhysRevA.60.3952 60, 3952 (1999); C. Ruiz, L. Plaja, and L. Roso, Phys. Rev. Lett. 94, 063002 (2005).
23. S. Qu and J. H. Eberly, Phys. Rev. A 1050-2947 10.1103/PhysRevA.44.5997 44, 5997 (1991); M. S. Pindzola, P. Gavras, and T. W. Gorczyca, Phys. Rev. A 1050-2947 10.1103/PhysRevA.51.3999 51, 3999 (1995); V. V́niard, R. Taeb, and A. Maquet, Phys. Rev. A 1050-2947 10.1103/PhysRevA.60.3952 60, 3952 (1999); C. Ruiz, L. Plaja, and L. Roso, Phys. Rev. Lett. 94, 063002 (2005).
24. J. von Milczewski, D. Farrelly, and T. Uzer, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.78.2349 78, 2349 (1997); A. Gordon, R. Santra, and F. X. Kärtner, Phys. Rev. A 72, 063411 (2005).
25. J. von Milczewski, D. Farrelly, and T. Uzer, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.78.2349 78, 2349 (1997); A. Gordon, R. Santra, and F. X. Kärtner, Phys. Rev. A 72, 063411 (2005).
26. G. L. Ver Steeg, K. Bartschat, and I. Bray, J. Phys. B 36, 3325 (2003).
27. (a) B. I. Schneider and N. Nygaard, Phys. Rev. E 1063-651X 10.1103/PhysRevE.70.056706 70, 056706 (2004); (b) H. Kono, A. Kita, Y. Ohtsuki, and Y. Fujimura, J. Comput. Phys. 0021-9991 10.1006/jcph.1996.5588 130, 148 (1997); (c) G. Czako, V. Szalay, A. G. Császár, and T. Furtenbacher, J. Chem. Phys. 122, 024101 (2005).
28. (a) B. I. Schneider and N. Nygaard, Phys. Rev. E 1063-651X 10.1103/PhysRevE.70.056706 70, 056706 (2004); (b) H. Kono, A. Kita, Y. Ohtsuki, and Y. Fujimura, J. Comput. Phys. 0021-9991 10.1006/jcph.1996.5588 130, 148 (1997); (c) G. Czako, V. Szalay, A. G. Császár, and T. Furtenbacher, J. Chem. Phys. 122, 024101 (2005).
29. (a) B. I. Schneider and N. Nygaard, Phys. Rev. E 1063-651X 10.1103/PhysRevE.70.056706 70, 056706 (2004); (b) H. Kono, A. Kita, Y. Ohtsuki, and Y. Fujimura, J. Comput. Phys. 0021-9991 10.1006/jcph.1996.5588 130, 148 (1997); (c) G. Czako, V. Szalay, A. G. Császár, and T. Furtenbacher, J. Chem. Phys. 122, 024101 (2005).
30. D. Comtois, D. Zeidler, H. Ṕpin, J. C. Kieffer, D. M. Villeneuve, and P. B. Corkum, J. Phys. B 0953-4075 10.1088/0953-4075/38/12/008 38, 1923 (2005); A. Rudenko, K. Zrost, Th. Ergler, A. B. Voitkiv, B. Najjari, V. L. B. de Jesus, B. Feuerstein, C. D. Schröter, R. Moshammer, and J. Ullrich, J. Phys. B 38, L191 (2005).
31. D. Comtois, D. Zeidler, H. Ṕpin, J. C. Kieffer, D. M. Villeneuve, and P. B. Corkum, J. Phys. B 0953-4075 10.1088/0953-4075/38/12/008 38, 1923 (2005); A. Rudenko, K. Zrost, Th. Ergler, A. B. Voitkiv, B. Najjari, V. L. B. de Jesus, B. Feuerstein, C. D. Schröter, R. Moshammer, and J. Ullrich, J. Phys. B 38, L191 (2005).
32. D. O. Harris, G. G. Engerholm, and W. D. Gwinn, J. Chem. Phys. 43, 1515 (1965).
33. A. S. Dickinson and P. R. Certain, J. Chem. Phys. 49, 4209 (1968).
34. J. V. Lill, G. A. Parker, and J. C. Light, Chem. Phys. Lett. 0009-2614 10.1016/0009-2614(82)83051-0 89, 483 (1982); R. W. Heather and J. C. Light, J. Chem. Phys. 0021-9606 10.1063/1.445574 79, 147 (1983); J. C. Light, I. P. Hamilton, and J. V. Lill, J. Chem. Phys. 82, 1400 (1985).
35. J. V. Lill, G. A. Parker, and J. C. Light, Chem. Phys. Lett. 0009-2614 10.1016/0009-2614(82)83051-0 89, 483 (1982); R. W. Heather and J. C. Light, J. Chem. Phys. 0021-9606 10.1063/1.445574 79, 147 (1983); J. C. Light, I. P. Hamilton, and J. V. Lill, J. Chem. Phys. 82, 1400 (1985).
36. J. V. Lill, G. A. Parker, and J. C. Light, Chem. Phys. Lett. 0009-2614 10.1016/0009-2614(82)83051-0 89, 483 (1982); R. W. Heather and J. C. Light, J. Chem. Phys. 0021-9606 10.1063/1.445574 79, 147 (1983); J. C. Light, I. P. Hamilton, and J. V. Lill, J. Chem. Phys. 82, 1400 (1985).
37. J. C. Light and T. Carrington, Jr., Adv. Chem. Phys. 0065-2385 114, 263 (2000);
38. H. S. Lee and J. C. Light, J. Chem. Phys. 0021-9606 10.1063/1.1646370 120, 4626 (2004);
39. J. Tennyson, M. A. Kostin, P. Barletta, G. J. Harris, O. L. Polyansky, J. Ramanlal, and N. F. Zobov, Comput. Phys. Commun. 163, 85 (2004).
40. D. T. Colbert and W. H. Miller, J. Chem. Phys. 0021-9606 10.1063/1.462100 96, 1982 (1992); J. Echave and D. C. Clary, Chem. Phys. Lett. 0009-2614 10.1016/0009-2614(92)85330-D 190, 225 (1992); R. G. Littlejohn, M. Cargo, T. Carrington, Jr., K. A. Mitchell, and B. Poirier, J. Chem. Phys. 0021-9606 10.1063/1.1473811 116, 8691 (2002); B. I. Schneider, Phys. Rev. A 1050-2947 10.1103/PhysRevA.55.3417 55, 3417 (1997); T. N. Rescigno, D. A. Horner, F. L. Yip, and C. W. McCurdy, Phys. Rev. A 1050-2947 10.1103/PhysRevA.72.052709 72, 052709 (2005); B. I. Schneider and L. A. Collins, J. Non-Cryst. Solids 351, 1551 (2005).
41. D. T. Colbert and W. H. Miller, J. Chem. Phys. 0021-9606 10.1063/1.462100 96, 1982 (1992); J. Echave and D. C. Clary, Chem. Phys. Lett. 0009-2614 10.1016/0009-2614(92)85330-D 190, 225 (1992); R. G. Littlejohn, M. Cargo, T. Carrington, Jr., K. A. Mitchell, and B. Poirier, J. Chem. Phys. 0021-9606 10.1063/1.1473811 116, 8691 (2002); B. I. Schneider, Phys. Rev. A 1050-2947 10.1103/PhysRevA.55.3417 55, 3417 (1997); T. N. Rescigno, D. A. Horner, F. L. Yip, and C. W. McCurdy, Phys. Rev. A 1050-2947 10.1103/PhysRevA.72.052709 72, 052709 (2005); B. I. Schneider and L. A. Collins, J. Non-Cryst. Solids 351, 1551 (2005).
42. D. T. Colbert and W. H. Miller, J. Chem. Phys. 0021-9606 10.1063/1.462100 96, 1982 (1992); J. Echave and D. C. Clary, Chem. Phys. Lett. 0009-2614 10.1016/0009-2614(92)85330-D 190, 225 (1992); R. G. Littlejohn, M. Cargo, T. Carrington, Jr., K. A. Mitchell, and B. Poirier, J. Chem. Phys. 0021-9606 10.1063/1.1473811 116, 8691 (2002); B. I. Schneider, Phys. Rev. A 1050-2947 10.1103/PhysRevA.55.3417 55, 3417 (1997); T. N. Rescigno, D. A. Horner, F. L. Yip, and C. W. McCurdy, Phys. Rev. A 1050-2947 10.1103/PhysRevA.72.052709 72, 052709 (2005); B. I. Schneider and L. A. Collins, J. Non-Cryst. Solids 351, 1551 (2005).
43. D. T. Colbert and W. H. Miller, J. Chem. Phys. 0021-9606 10.1063/1.462100 96, 1982 (1992); J. Echave and D. C. Clary, Chem. Phys. Lett. 0009-2614 10.1016/0009-2614(92)85330-D 190, 225 (1992); R. G. Littlejohn, M. Cargo, T. Carrington, Jr., K. A. Mitchell, and B. Poirier, J. Chem. Phys. 0021-9606 10.1063/1.1473811 116, 8691 (2002); B. I. Schneider, Phys. Rev. A 1050-2947 10.1103/PhysRevA.55.3417 55, 3417 (1997); T. N. Rescigno, D. A. Horner, F. L. Yip, and C. W. McCurdy, Phys. Rev. A 1050-2947 10.1103/PhysRevA.72.052709 72, 052709 (2005); B. I. Schneider and L. A. Collins, J. Non-Cryst. Solids 351, 1551 (2005).
44. D. T. Colbert and W. H. Miller, J. Chem. Phys. 0021-9606 10.1063/1.462100 96, 1982 (1992); J. Echave and D. C. Clary, Chem. Phys. Lett. 0009-2614 10.1016/0009-2614(92)85330-D 190, 225 (1992); R. G. Littlejohn, M. Cargo, T. Carrington, Jr., K. A. Mitchell, and B. Poirier, J. Chem. Phys. 0021-9606 10.1063/1.1473811 116, 8691 (2002); B. I. Schneider, Phys. Rev. A 1050-2947 10.1103/PhysRevA.55.3417 55, 3417 (1997); T. N. Rescigno, D. A. Horner, F. L. Yip, and C. W. McCurdy, Phys. Rev. A 1050-2947 10.1103/PhysRevA.72.052709 72, 052709 (2005); B. I. Schneider and L. A. Collins, J. Non-Cryst. Solids 351, 1551 (2005).
45. D. T. Colbert and W. H. Miller, J. Chem. Phys. 0021-9606 10.1063/1.462100 96, 1982 (1992); J. Echave and D. C. Clary, Chem. Phys. Lett. 0009-2614 10.1016/0009-2614(92)85330-D 190, 225 (1992); R. G. Littlejohn, M. Cargo, T. Carrington, Jr., K. A. Mitchell, and B. Poirier, J. Chem. Phys. 0021-9606 10.1063/1.1473811 116, 8691 (2002); B. I. Schneider, Phys. Rev. A 1050-2947 10.1103/PhysRevA.55.3417 55, 3417 (1997); T. N. Rescigno, D. A. Horner, F. L. Yip, and C. W. McCurdy, Phys. Rev. A 1050-2947 10.1103/PhysRevA.72.052709 72, 052709 (2005); B. I. Schneider and L. A. Collins, J. Non-Cryst. Solids 351, 1551 (2005).
46. D. Baye and P. H. Heenen, J. Phys. A 0305-4470 10.1088/0305-4470/19/11/ 013 19, 2041 (1986); V. Szalay, J. Chem. Phys. 99, 1978 (1993).
47. D. Baye and P. H. Heenen, J. Phys. A 0305-4470 10.1088/0305-4470/19/11/ 013 19, 2041 (1986); V. Szalay, J. Chem. Phys. 99, 1978 (1993).
48. J. P. Boyd, Chebyshev and Fourier Spectral Methods, 2nd ed. (Dover, New York, 2000), Chap..
49. G. Szegö, Orthogonal Polynomials (American Mathematical Society, Providence, RI, 1939).
50. B. D. Shizgal and H. Chen, J. Chem. Phys. 104, 4137 (1996).
51. W. Gautschi, ACM Trans. Math. Softw. 25, 213 (1999).
52. C. A. Weatherford, E. Red, and A. Wynn III, Int. J. Quantum Chem. 90, 1289 (2002).
53. G. Machtoub and C. Zhang, Int. J. Theor. Phys. 41, 293 (2002).
54. K. M. Dunseath, J. M. Launay, M. Terao-Dunseath, and L. Mouret, J. Phys. B 35, 3539 (2002).
55. Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun (Dover, New York, 1965).
56. C. Schwartz, J. Math. Phys. 26, 411 (1985).
57. S. E. Choi and J. C. Light, J. Chem. Phys. 92, 2129 (1990).
58. L. Y. Peng, D. Dundas, J. F. McCann, K. T. Taylor, and I. D. Williams, J. Phys. B 36, L295 (2003).
59. D. A. Varshalovich, A. N. Moskalev, and V. K. Khersonskii, Quantum Theory of Angular Momentum (World Scientific, Singapore, 1988).
60. G. W. Wei, S. C. Althorpe, D. J. Kouri, and D. K. Hoffman, J. Chem. Phys. 108, 7065 (1998).
61. R. Guantes and S. C. Farantos, J. Chem. Phys. 111, 10827 (1999).
62. D. Dundas, J. F. McCann, J. S. Parker, and K. T. Taylor, J. Phys. B 33, 3261 (2000).
63. A. R. Barnett, Comput. Phys. Commun. 27, 147 (1982).
64. M. D. Feit and J. A. Fleck, Jr., J. Comput. Phys. 47, 412 (1983).
65. H. Tal-Ezer and R. Kosloff, J. Chem. Phys. 81, 3967 (1984).
66. H. X. Qiao, Q. Y. Cai, J. G. Rao, and B. W. Li, Phys. Rev. A 65, 063403 (2002).
67. T. J. Park and J. C. Light, J. Chem. Phys. 0021-9606 10.1063/1.451548 85, 5870 (1986); C. S. Guiang and R. E. Wyatt, Int. J. Quantum Chem. 0020-7608 10.1002/(SICI)1097-461X(1998)67:5<273::AID-QUA1>3.0.CO;2-S 67, 273 (1998); M. Hochbruck and C. Lubich, SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 0036-1429 10.1137/S0036142995280572 34, 1911 (1997); M. Hochbruck, C. Lubich, and H. Selhofer, SIAM J. Sci. Comput. (USA) 19, 1552 (1998).
68. T. J. Park and J. C. Light, J. Chem. Phys. 0021-9606 10.1063/1.451548 85, 5870 (1986); C. S. Guiang and R. E. Wyatt, Int. J. Quantum Chem. 0020-7608 10.1002/(SICI)1097-461X(1998)67:5<273::AID-QUA1>3.0.CO;2-S 67, 273 (1998); M. Hochbruck and C. Lubich, SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 0036-1429 10.1137/S0036142995280572 34, 1911 (1997); M. Hochbruck, C. Lubich, and H. Selhofer, SIAM J. Sci. Comput. (USA) 19, 1552 (1998).
69. T. J. Park and J. C. Light, J. Chem. Phys. 0021-9606 10.1063/1.451548 85, 5870 (1986); C. S. Guiang and R. E. Wyatt, Int. J. Quantum Chem. 0020-7608 10.1002/(SICI)1097-461X(1998)67:5<273::AID-QUA1>3.0.CO;2-S 67, 273 (1998); M. Hochbruck and C. Lubich, SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 0036-1429 10.1137/S0036142995280572 34, 1911 (1997); M. Hochbruck, C. Lubich, and H. Selhofer, SIAM J. Sci. Comput. (USA) 19, 1552 (1998).
70. T. J. Park and J. C. Light, J. Chem. Phys. 0021-9606 10.1063/1.451548 85, 5870 (1986); C. S. Guiang and R. E. Wyatt, Int. J. Quantum Chem. 0020-7608 10.1002/(SICI)1097-461X(1998)67:5<273::AID-QUA1>3.0.CO;2-S 67, 273 (1998); M. Hochbruck and C. Lubich, SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 0036-1429 10.1137/S0036142995280572 34, 1911 (1997); M. Hochbruck, C. Lubich, and H. Selhofer, SIAM J. Sci. Comput. (USA) 19, 1552 (1998).
71. C. Leforestier, R. H. Bisseling, C. Cerjan, J. Comput. Phys. 0021-9991 10.1016/0021-9991(91)90137-A 94, 59 (1991); T. N. Truong, J. J. Tanner, P. Bala, J. A. McCammon, D. J. Kouri, B. Lesyng, and D. K. Hoffman, J. Chem. Phys. 0021-9606 10.1063/1.462870 96, 2077 (1991); C. Moler and C. Van Loan, SIAM Rev. 0036-1445 10.1137/S00361445024180 45, 3 (2003); A. Castro, M. A. L. Marques, and A. Rubio, J. Chem. Phys. 121, 3425 (2004).
72. C. Leforestier, R. H. Bisseling, C. Cerjan, J. Comput. Phys. 0021-9991 10.1016/0021-9991(91)90137-A 94, 59 (1991); T. N. Truong, J. J. Tanner, P. Bala, J. A. McCammon, D. J. Kouri, B. Lesyng, and D. K. Hoffman, J. Chem. Phys. 0021-9606 10.1063/1.462870 96, 2077 (1991); C. Moler and C. Van Loan, SIAM Rev. 0036-1445 10.1137/S00361445024180 45, 3 (2003); A. Castro, M. A. L. Marques, and A. Rubio, J. Chem. Phys. 121, 3425 (2004).
73. C. Leforestier, R. H. Bisseling, C. Cerjan, J. Comput. Phys. 0021-9991 10.1016/0021-9991(91)90137-A 94, 59 (1991); T. N. Truong, J. J. Tanner, P. Bala, J. A. McCammon, D. J. Kouri, B. Lesyng, and D. K. Hoffman, J. Chem. Phys. 0021-9606 10.1063/1.462870 96, 2077 (1991); C. Moler and C. Van Loan, SIAM Rev. 0036-1445 10.1137/S00361445024180 45, 3 (2003); A. Castro, M. A. L. Marques, and A. Rubio, J. Chem. Phys. 121, 3425 (2004).
74. C. Leforestier, R. H. Bisseling, C. Cerjan, J. Comput. Phys. 0021-9991 10.1016/0021-9991(91)90137-A 94, 59 (1991); T. N. Truong, J. J. Tanner, P. Bala, J. A. McCammon, D. J. Kouri, B. Lesyng, and D. K. Hoffman, J. Chem. Phys. 0021-9606 10.1063/1.462870 96, 2077 (1991); C. Moler and C. Van Loan, SIAM Rev. 0036-1445 10.1137/S00361445024180 45, 3 (2003); A. Castro, M. A. L. Marques, and A. Rubio, J. Chem. Phys. 121, 3425 (2004).
75. Y. Saad, Iterative Methods for Sparse Linear Systems, 2nd ed. (SIAM, Philadelphia, 2003), Chap..
76. R. B. Sidje, ACM Trans. Math. Softw. 24, 130 (1998).
77. U. V. Riss and H. D. Meyer, J. Phys. B 0953-4075 10.1088/0953-4075/28/8/ 012 28, 1475 (1995); J. G. Muga, J. P. Palao, B. Navarro, and I. L. Egusquiza, Phys. Rep. 0370-1573 10.1016/j.physrep.2004.03.002 395, 357 (2004); R. Lefebvre, M. Sindelka, and N. Moiseyev, Phys. Rev. A 1050-2947 10.1103/PhysRevA.72.052704 72, 052704 (2005); O. Shemer, D. Brisker, and N. Moiseyev, Phys. Rev. A 1050-2947 10.1103/PhysRevA.71.032716 71, 032716 (2005); S. Scheit, H. D. Mayer, N. Moiseyev, and L. S. Cederbaum, J. Chem. Phys. 124, 034102 (2006).
78. U. V. Riss and H. D. Meyer, J. Phys. B 0953-4075 10.1088/0953-4075/28/8/ 012 28, 1475 (1995); J. G. Muga, J. P. Palao, B. Navarro, and I. L. Egusquiza, Phys. Rep. 0370-1573 10.1016/j.physrep.2004.03.002 395, 357 (2004); R. Lefebvre, M. Sindelka, and N. Moiseyev, Phys. Rev. A 1050-2947 10.1103/PhysRevA.72.052704 72, 052704 (2005); O. Shemer, D. Brisker, and N. Moiseyev, Phys. Rev. A 1050-2947 10.1103/PhysRevA.71.032716 71, 032716 (2005); S. Scheit, H. D. Mayer, N. Moiseyev, and L. S. Cederbaum, J. Chem. Phys. 124, 034102 (2006).
79. U. V. Riss and H. D. Meyer, J. Phys. B 0953-4075 10.1088/0953-4075/28/8/ 012 28, 1475 (1995); J. G. Muga, J. P. Palao, B. Navarro, and I. L. Egusquiza, Phys. Rep. 0370-1573 10.1016/j.physrep.2004.03.002 395, 357 (2004); R. Lefebvre, M. Sindelka, and N. Moiseyev, Phys. Rev. A 1050-2947 10.1103/PhysRevA.72.052704 72, 052704 (2005); O. Shemer, D. Brisker, and N. Moiseyev, Phys. Rev. A 1050-2947 10.1103/PhysRevA.71.032716 71, 032716 (2005); S. Scheit, H. D. Mayer, N. Moiseyev, and L. S. Cederbaum, J. Chem. Phys. 124, 034102 (2006).
80. U. V. Riss and H. D. Meyer, J. Phys. B 0953-4075 10.1088/0953-4075/28/8/ 012 28, 1475 (1995); J. G. Muga, J. P. Palao, B. Navarro, and I. L. Egusquiza, Phys. Rep. 0370-1573 10.1016/j.physrep.2004.03.002 395, 357 (2004); R. Lefebvre, M. Sindelka, and N. Moiseyev, Phys. Rev. A 1050-2947 10.1103/PhysRevA.72.052704 72, 052704 (2005); O. Shemer, D. Brisker, and N. Moiseyev, Phys. Rev. A 1050-2947 10.1103/PhysRevA.71.032716 71, 032716 (2005); S. Scheit, H. D. Mayer, N. Moiseyev, and L. S. Cederbaum, J. Chem. Phys. 124, 034102 (2006).
81. U. V. Riss and H. D. Meyer, J. Phys. B 0953-4075 10.1088/0953-4075/28/8/ 012 28, 1475 (1995); J. G. Muga, J. P. Palao, B. Navarro, and I. L. Egusquiza, Phys. Rep. 0370-1573 10.1016/j.physrep.2004.03.002 395, 357 (2004); R. Lefebvre, M. Sindelka, and N. Moiseyev, Phys. Rev. A 1050-2947 10.1103/PhysRevA.72.052704 72, 052704 (2005); O. Shemer, D. Brisker, and N. Moiseyev, Phys. Rev. A 1050-2947 10.1103/PhysRevA.71.032716 71, 032716 (2005); S. Scheit, H. D. Mayer, N. Moiseyev, and L. S. Cederbaum, J. Chem. Phys. 124, 034102 (2006).
82. T. K. Kjeldsen and L. B. Madsen, Phys. Rev. A 71, 023411 (2005).
83. E. Cormier and P. Lambropoulos, J. Phys. B 29, 1667 (1996).
84. C. Laughlin and S. I. Chu, Phys. Rev. A 48, 4654 (1993).
85. D. A. Telnov and S. I. Chu, J. Phys. B 28, 2407 (1995).
86. S. I. Chu and J. Cooper, Phys. Rev. A 32, 2769 (1985).
87. M. Pont, D. Proulx, and R. Shakeshaft, Phys. Rev. A 44, 4486 (1991).
88. L. D. Landau and E. M. Lifshitz, Quantum Mechanics, 2nd ed. (Pergamon, Oxford, 1965).
89. A. Scrinzi, Phys. Rev. A 61, 041402 (2000).
90. S. Geltman, J. Phys. B 0953-4075 33, 4769 (2000); A. A. Kudrin and V. P. Krainov, Laser Phys. 1054-660X 13, 1024 (2003); G. V. Dunne and C. S. Gauthier, Phys. Rev. A 1050-2947 10.1103/PhysRevA.69.053409 69, 053409 (2004); R. M. Cavalcantil, P. Giacconi, and R. Soldati, J. Phys. A 36, 12065 (2003).
91. S. Geltman, J. Phys. B 0953-4075 33, 4769 (2000); A. A. Kudrin and V. P. Krainov, Laser Phys. 1054-660X 13, 1024 (2003); G. V. Dunne and C. S. Gauthier, Phys. Rev. A 1050-2947 10.1103/PhysRevA.69.053409 69, 053409 (2004); R. M. Cavalcantil, P. Giacconi, and R. Soldati, J. Phys. A 36, 12065 (2003).
92. S. Geltman, J. Phys. B 0953-4075 33, 4769 (2000); A. A. Kudrin and V. P. Krainov, Laser Phys. 1054-660X 13, 1024 (2003); G. V. Dunne and C. S. Gauthier, Phys. Rev. A 1050-2947 10.1103/PhysRevA.69.053409 69, 053409 (2004); R. M. Cavalcantil, P. Giacconi, and R. Soldati, J. Phys. A 36, 12065 (2003).
93. S. Geltman, J. Phys. B 0953-4075 33, 4769 (2000); A. A. Kudrin and V. P. Krainov, Laser Phys. 1054-660X 13, 1024 (2003); G. V. Dunne and C. S. Gauthier, Phys. Rev. A 1050-2947 10.1103/PhysRevA.69.053409 69, 053409 (2004); R. M. Cavalcantil, P. Giacconi, and R. Soldati, J. Phys. A 36, 12065 (2003).
94. P. Durand and I. Paidarova, Eur. Phys. J. D 26, 253 (2003).
95. D. Dimitrovski, T. P. Grozdanov, E. A. Solov'ev, and J. S. Briggs, J. Phys. B 36, 1351 (2003).
96. D. Bauer and P. Mulser, Phys. Rev. A 59, 569 (1999).
97. D. A. Telnov and S. I. Chu, J. Phys. B 37, 1489 (2004).
98. K. R. Lykke, K. K. Murray, and W. C. Lineberger, Phys. Rev. A 43, 6104 (1991).
99. C. Haritos, T. Mercouris, and C. A. Nicolaides, Phys. Rev. A 63, 013410 (2000).
100. D. A. Telnov and S. I. Chu, J. Phys. B 29, 4401 (1996).
101. D. A. Telnov and S. I. Chu, J. Phys. B 59, 2864 (1999).