Exact results for the ionization of a model quantum system

Journal of Physics A: Mathematical and General

Volumn 33, Issue 36, 2000, Pages 6311-6319

  Costin, O ^a   Lebowitz, J L ^a   Rokhlenko, A ^a  

^a RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040194096     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/33/36/303     Document Type: Article

References (37)

1. Cohen-Tannoudji C, Duport-Roc J and Arynberg G 1992 Atom-Photon Interactions (New York: Wiley) Chin S L and Lambropoulus P (ed) 1984 Multiphoton Ionization of Atoms (New York: Academic)
2. Blümel R and Similansky U 1987 Z. Phys. D 6 83 Casatti G and Molinari L 1989 Prog. Theor. Phys. Suppl. 98 286
3. Blümel R and Similansky U 1987 Z. Phys. D 6 83 Casatti G and Molinari L 1989 Prog. Theor. Phys. Suppl. 98 286
4. Koch P M and van Leeuwen KAH 1995 Phys. Rep. 255 289
5. Bayfield J E et al 1996 Phys. Rev. A 53 R12 Koch P M, Galvez E J and Zelazny S A 1999 Physica D 131 90
6. Bayfield J E et al 1996 Phys. Rev. A 53 R12 Koch P M, Galvez E J and Zelazny S A 1999 Physica D 131 90
7. Koch P M 1998 Acta Phys. Pol. A 93 105-33
8. Buchleitner A, Delande D and Gay J-C 1995 J. Opt. Soc. Am. B 12 505
9. Demkov Yu N and Ostrovskii V N 1988 Zero Range Potentials and Their Application in Atomic Physics (New York: Plenum)
10. Susskind S M, Cowley S C and Valeo E J 1994 Phys. Rev. A 42 3090
11. Scharf G, Sonnenmoser K and Wreszinski W F 1991 Phys. Rev. A 44 3250 Geltman S 1977 J. Phys. B: At. Mol. Phys. 5 831
12. Scharf G, Sonnenmoser K and Wreszinski W F 1991 Phys. Rev. A 44 3250 Geltman S 1977 J. Phys. B: At. Mol. Phys. 5 831
13. Pillet C-A 1985 Commun. Math. Phys. 102 237 Pillet C-A 1986 Commun. Math. Phys. 105 259 Yajima K 1982 Commun. Math. Phys. 89 331 Siegel I 1993 Commun. Math. Phys. 153 297 van Dyk W and Nogami Y 1999 Phys. Rev. Lett. 83 2867
14. Pillet C-A 1985 Commun. Math. Phys. 102 237 Pillet C-A 1986 Commun. Math. Phys. 105 259 Yajima K 1982 Commun. Math. Phys. 89 331 Siegel I 1993 Commun. Math. Phys. 153 297 van Dyk W and Nogami Y 1999 Phys. Rev. Lett. 83 2867
15. Pillet C-A 1985 Commun. Math. Phys. 102 237 Pillet C-A 1986 Commun. Math. Phys. 105 259 Yajima K 1982 Commun. Math. Phys. 89 331 Siegel I 1993 Commun. Math. Phys. 153 297 van Dyk W and Nogami Y 1999 Phys. Rev. Lett. 83 2867
16. Pillet C-A 1985 Commun. Math. Phys. 102 237 Pillet C-A 1986 Commun. Math. Phys. 105 259 Yajima K 1982 Commun. Math. Phys. 89 331 Siegel I 1993 Commun. Math. Phys. 153 297 van Dyk W and Nogami Y 1999 Phys. Rev. Lett. 83 2867
17. Pillet C-A 1985 Commun. Math. Phys. 102 237 Pillet C-A 1986 Commun. Math. Phys. 105 259 Yajima K 1982 Commun. Math. Phys. 89 331 Siegel I 1993 Commun. Math. Phys. 153 297 van Dyk W and Nogami Y 1999 Phys. Rev. Lett. 83 2867
18. Soffer A and Weinstein M I 1998 J. Stat. Phys. 93 359-91
19. Maquet A, Chu S-I and Reinhardt W P 1983 Phys. Rev. A 27 2946 Holt C, Raymer M and Reinhardt W P 1983 Phys. Rev. A 27 2971 Chu S-I 1988 Adv. Chem. Phys. 73 2799 Potvliege R M and Shakeshaft R 1989 Phys. Rev. A 40 3061
20. Maquet A, Chu S-I and Reinhardt W P 1983 Phys. Rev. A 27 2946 Holt C, Raymer M and Reinhardt W P 1983 Phys. Rev. A 27 2971 Chu S-I 1988 Adv. Chem. Phys. 73 2799 Potvliege R M and Shakeshaft R 1989 Phys. Rev. A 40 3061
21. Maquet A, Chu S-I and Reinhardt W P 1983 Phys. Rev. A 27 2946 Holt C, Raymer M and Reinhardt W P 1983 Phys. Rev. A 27 2971 Chu S-I 1988 Adv. Chem. Phys. 73 2799 Potvliege R M and Shakeshaft R 1989 Phys. Rev. A 40 3061
22. Maquet A, Chu S-I and Reinhardt W P 1983 Phys. Rev. A 27 2946 Holt C, Raymer M and Reinhardt W P 1983 Phys. Rev. A 27 2971 Chu S-I 1988 Adv. Chem. Phys. 73 2799 Potvliege R M and Shakeshaft R 1989 Phys. Rev. A 40 3061
23. Holthaus M and Just B 1994 Phys. Rev. A 49 1950 Guerin S et al 1997 J. Phys. A: Math. Gen. 30 7193 Guerin S and Jauslin H-R 1997 Phys. Rev. A 55 1262 and references therein
24. Holthaus M and Just B 1994 Phys. Rev. A 49 1950 Guerin S et al 1997 J. Phys. A: Math. Gen. 30 7193 Guerin S and Jauslin H-R 1997 Phys. Rev. A 55 1262 and references therein
25. Holthaus M and Just B 1994 Phys. Rev. A 49 1950 Guerin S et al 1997 J. Phys. A: Math. Gen. 30 7193 Guerin S and Jauslin H-R 1997 Phys. Rev. A 55 1262 and references therein
26. Fring A, Kostrykin V and Schrader R 1996 J. Phys. B: At. Mol. Opt. Phys. 29 5651 Figueira de Morisson Faria C, Fring A and Schrader R 1998 J. Phys. B: At. Mol. Opt. Phys. 31 449 Fring A, Kostrykin V and Schrader R 1997 J. Phys. A: Math. Gen. 30 8559 Figueira de Morisson Faria C, Fring A and Schrader R 1998 Analytical treatment of stabilization Preprint ph/9808047
27. Fring A, Kostrykin V and Schrader R 1996 J. Phys. B: At. Mol. Opt. Phys. 29 5651 Figueira de Morisson Faria C, Fring A and Schrader R 1998 J. Phys. B: At. Mol. Opt. Phys. 31 449 Fring A, Kostrykin V and Schrader R 1997 J. Phys. A: Math. Gen. 30 8559 Figueira de Morisson Faria C, Fring A and Schrader R 1998 Analytical treatment of stabilization Preprint ph/9808047
28. Fring A, Kostrykin V and Schrader R 1996 J. Phys. B: At. Mol. Opt. Phys. 29 5651 Figueira de Morisson Faria C, Fring A and Schrader R 1998 J. Phys. B: At. Mol. Opt. Phys. 31 449 Fring A, Kostrykin V and Schrader R 1997 J. Phys. A: Math. Gen. 30 8559 Figueira de Morisson Faria C, Fring A and Schrader R 1998 Analytical treatment of stabilization Preprint ph/9808047
29. Fring A, Kostrykin V and Schrader R 1996 J. Phys. B: At. Mol. Opt. Phys. 29 5651 Figueira de Morisson Faria C, Fring A and Schrader R 1998 J. Phys. B: At. Mol. Opt. Phys. 31 449 Fring A, Kostrykin V and Schrader R 1997 J. Phys. A: Math. Gen. 30 8559 Figueira de Morisson Faria C, Fring A and Schrader R 1998 Analytical treatment of stabilization Preprint ph/9808047
30. Lefarestier C et al 1991 J. Comput. Phys. 94 59 Ceyan C and Kulander K C 1991 Comput. Phys. Commun. 63 529
31. Lefarestier C et al 1991 J. Comput. Phys. 94 59 Ceyan C and Kulander K C 1991 Comput. Phys. Commun. 63 529
32. Guerin S 1997 Phys. Rev. A 56 1458 Gibson G N et al 1998 Phys. Rev. Lett. 81 2663
33. Guerin S 1997 Phys. Rev. A 56 1458 Gibson G N et al 1998 Phys. Rev. Lett. 81 2663
34. Rokhlenko A and Lebowitz J L 2000 J. Math. Phys. 41 3511
35. Costin O, Lebowitz J L and Rokhlenko A 2000 in preparation
36. Costin O, Lebowitz J L and Rokhlenko A 2000 Nonlinear Analysis and Renormalization Group: Proc. CRM Meeting (Providence, RI: American Mathematical Society) at press
37. Vos J R and Gavrila M 1992 Phys. Rev. Lett. 68 170