Nonstationary dressed states and effects of decay in nonadiabatic crossing of decaying levels

Computers and Mathematics with Applications

Volumn 34, Issue 7-8, 1997, Pages 727-750

  Kocharovsky, V V ^a   Kocharovsky, Vl V ^a   Derishev, E A ^a   Litvak, S A ^a   Shereshevsky, I A ^a   Tasaki, S ^b  

^a INSTITUTE OF APPLIED PHYSICS   (Russian Federation)

^b INSTITUTE FOR FUNDAMENTAL CHEMISTRY   (Japan)

Author keywords

Decaying states; Nonadiabatic phenomena; Quantum chemistry; Quantum optics

Indexed keywords

APPROXIMATION THEORY; EIGENVALUES AND EIGENFUNCTIONS; ELECTRIC FIELD EFFECTS; MATHEMATICAL MODELS; QUANTUM OPTICS; SPECTRUM ANALYSIS;

DECAYING STATES; FRIEDRICHS FANO MODELS; NONADIABATIC PHENOMENA;

QUANTUM THEORY;

EID: 0031249596     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0898-1221(97)00172-7     Document Type: Article

References (105)

1. J.C.Y. Chen, Adv. Radiat. Chem. 1, 245 (1969).
2. D.A. Micha, Adv. Quantum Chem. 8, 231 (1974).
3. T. Yamabe, A. Tachibana and K. Fukui, Adv. Quantum Chem. 11, 195 (1978).
4. A. Tachibana, T. Yamabe and K. Fukui, Mol. Phys. 37, 1045 (1979).
5. I. Prigogine, From Being to Becoming, Freeman, New York, (1980).
6. K. Friedrichs, Comm. Pure Appl. Math. 1, 361 (1948).
7. U. Fano, Phys. Rev. 124, 1866 (1961).
8. J. Aguilar and J.M. Combes, Commun. Math. Phys. 22, 269 (1971).
9. E. Balslev and J.M. Combes, Commun. Math. Phys. 22, 280 (1971).
10. E. Balslev and J.M. Combes, Resonances, Lect. Notes in Physics, Vol. 325, (Edited by E. Brändas and N. Elander), Springer, Berlin, (1989).
11. E.C.G. Sudarshan, C. Chiu and V. Gorini, Phys. Rev. D 18, 2914 (1978).
12. G. Parravicini, V. Gorini and E.C.G. Sudarshan, J. Math. Physics 21, 2208 (1980).
13. T.K. Bailey and W.C. Schieve, Nuovo Cimento A47, 231 (1978).
14. A. Bohm, J. Math. Phys. 22, 2813 (1981).
15. A. Bohm, M. Gadella and G.B. Mainland, Am. J. Phys. 57, 1103 (1989).
16. A. Bohm and M. Gadella, Dirac Kets, Gamow vectors and Gelfand Triplets, Lect. Notes in Phys., Vol. 348, Springer, Berlin, (1989).
17. T. Petrosky, I. Prigogine and S. Tasaki, Physica A173, 175 (1991).
18. I.E. Antoniou and I. Prigogine, Physica A192, 443 (1993)
19. T. Petrosky and I. Prigogine, Physica A175, 146 (1991).
20. I. Prigogine, Phys. Rep. 219, 93 (1992).
21. L.D. Landau, Phys. Z. Sowjetunion 1, 88 (1932).
22. C. Zener, Proc. Roy. Soc. London A137, 696 (1932).
23. V.M. Akulin and W.P. Schleich, Phys. Rev. A 46, 4110 (1992).
24. V.A. Bazylev, N.K. Zhevago and M.I. Chibisov, Sov. Phys. JETP 42, 436 (1975).
25. V.A. Bazylev, N.K. Zhevago and M.I. Chibisov, Zh. Eksp. Teor. Fiz. 71, 1285 (1976).
26. V.P. Krainov and A.V. Kruglikov, Opt. Spectrosk. (USSR) 50, 825 (1981).
27. A.Z. Devdariani, V.N. Ostrovskii and U.N. Sebyakin, Sov. Phys. JETP 44, 480 (1976); Zh. Eksp. Teor. Fiz. 71, 909 (1976).
28. A.Z. Devdariani, V.N. Ostrovskii and U.N. Sebyakin, Sov. Phys. JETP 44, 480 (1976); Zh. Eksp. Teor. Fiz. 71, 909 (1976).
29. E.E. Nikitin and S.Ya. Umanskii, Theory of Slow Atomic Collisions, Springer, Berlin, (1984).
30. F.H.M. Faisel, Electron-Atom and Electron-Molecule Collisions, (Edited by J. Hinze), Plenum, New York, (1983).
31. E. Shimshoni and Y. Gefen, Ann. Phys. 210, 16 (1991).
32. P. Ao and J. Rammer, Phys. Rev. Lett. 62, 3004 (1989).
33. K.-A. Suominan and B.M. Garraway, Phys. Rev. A45, 374, 3060 (1992).
34. K.-A. Suominan and B.M. Garraway, Opt. Comm. 82, 260 (1991).
35. G. Hermann, G. Lasnitschka, J. Richter and A. Scharmann, Z. Phys. D18, 11 (1991).
36. J.-N. Lopez-Castillo, A. Filali-Mouhim and J.-P. Jay-Gerin, J. Chem. Phys. 97, 1905 (1992).
37. F. Grobmann and P. Hanggi, Europhys. Lett. 18, 571 (1992).
38. F. Grobmann and P. Hanggi, Chem. Phys. 170, 295 (1993).
39. Y. Dakhnovskii, J. Chem. Phys. 100, 6492 (1994).
40. H.P. Breuer and M. Holthaus, Phys. Lett. A140, 507 (1989).
41. A.N. Seleznyava, J. Phys. A26, 981 (1993).
42. V.A. Kovarskii, N.F. Perel'man, I.Sh. Averbukh, S.A. Baranov and S.S. Todirashku, Nonadiabatic Transitions in a Strong Electromagnetic Field, (in Russian), Shtiintsa, Kishinev, (1980).
43. I.S. Erokhin and S.S. Moiseev, In Problems in Plasma Theory, p. 146, Atomizdat, Moscow, (1973).
44. V.I. Karas', S.S. Moiseev and V.E. Novikov, Zh. Eksp. Teor. Fiz. 67, 1702 (1974).
45. V.V. Zheleznyakov, E.V. Suvorov and V.E. Shaposhnikov, Sov. Astron. 18, 142 (1975).
46. N.E. Sazonov, Astrofiz. 10, 405 (1974).
47. L.M. Brekhovskikh, Waves in Layered Media, Academic Press, New York, (1980).
48. G.M. Zaslavskii, V.P. Meitlis and N.N. Filonenko, Coupled Waves in Inhomogeneous Media, (in Russian), Nauka, Novosibirsk, (1982).
49. V.V. Shevchenko, Continuous Transitions in Open Waveguides, (in Russian), Nauka, Moscow, (1969).
50. V.V. Zheleznyakov, V.V. Kocharovsky and Vl.V. Kocharovsky, Sov. Phys. Usp. 26, 877 (1983).
51. H.C. Baker, Phys. Rev. A30, 773 (1984).
52. H.C. Baker and R.L. Singleton, Jr., Phys. Rev. A42, 10 (1990).
53. G. Dattoli, A. Torre and R. Mignani, Phys. Rev. A42, 1467 (1990).
54. M. Poirier, J. Reit, D. Normand and J. Morellec, J. Phys. B17, 4135 (1984).
55. R.F. Sawyer, Phys. Rev. Lett. 69, 2457 (1992).
56. S.Ya. Kilin and D.S. Mogilevtsev, Laser Phys. 2, 153 (1992).
57. F. Capasso, C. Sirtori, J. Faist, D.L. Sivco, S.-N.G. Chu and A.Y. Cho, Nature 358, 565 (1992).
58. G. Duerinckx, J. Phys. A17, 385 (1984).
59. A. Bohm, Quantum Mechanics, Springer, New York, (1979).
60. C.H. Townes and A.L. Schawlow, Microwave Spectroscopy, McGraw-Hill, New York, (1955).
61. R.H. Pantell and H.E. Puthoff, Fundamentals of Quantum Electronics, Wiley, New York, (1969).
62. L. Allen and J.H. Eberly, Optical Resonance and Two-Level Atoms, Wiley, New York, (1975).
63. O.K. Rice, J. Chem. Phys. 1, 375 (1933).
64. U. Fano, Nuovo Cimento 12, 156 (1935).
65. T.D. Lee, Phys. Rev. 95, 1329 (1954).
66. C.B. Chiu and E.C.G. Sudarshan, Phys. Rev. D42, 3712 (1990).
67. N.G. Van Kampen, Physica A147, 165 (1987).
68. N. Nakanishi, Prog. Theor. Phys. 19, 607 (1958).
69. I. Gel'fand and G. Shilov, Generalized Functions, Vol. 2, Academic Press, New York, (1968); Vol. 3, (1967).
70. I. Gel'fand and G. Shilov, Generalized Functions, Vol. 2, Academic Press, New York, (1968); Vol. 3, (1967).
71. I. Gel'fand and N. Vilenkin, Generalized Functions, Vol. 4, Academic Press, New York, (1964).
72. M. Livsic, Am. Math. Soc. Trans. Ser. 2 16, 427 (1936).
73. J. Howland, J. Math. Anal. Appl. 50, 415 (1975).
74. P.-O. Lowdin, J. Math. Phys. 3, 969 (1962).
75. R. Bartlett and E. Brändas, J. Chem. Phys. 59, 2032 (1973).
76. A. Grecos, T. Guo and W. Guo, Physica A80, 421 (1975).
77. L.A. Khalfin, Usp. Fiz. Nauk 162, 179 (1992).
78. E.C.G. Sudarshan and C.B. Chiu, Phys. Rev. D47, 2602 (1993).
79. E.C.G. Sudarshan, Relativistic particle interactions, In Proc. 1961 Brandies Summer Institute, Benjamin, New York, (1962).
80. F.T. Arecchi and E. Courtens, Phys. Rev. A2, 1730 (1970).
81. V.L. Ginzburg and V.N. Tsytovich, Transient Radiation and Transient Scattering, (in Russian), Nauka, Moscow, (1985).
82. V.A. Davydov, Izv. Vyssh. Uchebn. Zaved. 23, 982 (1980); ibid 25 1429 (1982); ibid 26 1134 (1983).
83. V.A. Davydov, Izv. Vyssh. Uchebn. Zaved. 23, 982 (1980); ibid 25 1429 (1982); ibid 26 1134 (1983).
84. V.A. Davydov, Izv. Vyssh. Uchebn. Zaved. 23, 982 (1980); ibid 25 1429 (1982); ibid 26 1134 (1983).
85. L.A. Khalfin, Zh. Eksp. Teor. Fiz. 33, 1371 (1957); Usp. Fiz. Nauk 160, 185 (1990).
86. L.A. Khalfin, Zh. Eksp. Teor. Fiz. 33, 1371 (1957); Usp. Fiz. Nauk 160, 185 (1990).
87. L. Fonda, G.C. Ghirardi and A. Rimini, Rep. Prog. Phys. 41, 587 (1978).
88. B. Misra and E.C.G. Sudarshan, J. Math. Phys. 18, 756 (1977).
89. A. Peres, Ann. Phys. 129, 33 (1980).
90. K.J.F. Gaemers and T.D. Visser, Physica A153, 234 (1988).
91. T. Petrosky, S. Tasaki and I. Prigogine, Phys. Lett. A151, 109 (1990).
92. T. Petrosky, S. Tasaki and I. Prigogine, Physica A170, 306 (1991).
93. V.A. Yakubovich and V.M. Starjinski, Linear Differential Equations with Periodic Coefficients and Their Applications, (in Russian), Nauka, Moscow, (1972).
94. M.V. Berry, Proc. Roy. Soc. London 392, 45 (1984).
95. A. Bohm, The geometric phase in quantum physics, In Recent Problems in Mathematical Physics, (Edited by I. Ibort and M.A. Rodriguez), Kluwer Academic Publishers, The Netherlands, (1993).
96. J.C. Garrison and E.M. Wright, Phys. Lett. A128, 177 (1988).
97. A. Kvitsinsky and S. Puttermann, J. Math. Phys. 32, 1403 (1991).
98. G. Nenciu and G. Rasche, J Phys. A25, 5741 (1992).
99. B. Simon, Phys. Rev. Lett. 51, 2167 (1983).
100. Y. Aharonov and J. Anandan, Phys. Rev. Lett. 58, 1593 (1987).
101. J. Samuel and R. Bhandari, Phys. Rev. Lett. 60, 2339 (1988).
102. M. Rosenberg and T. Petrosky (to appear).
103. C.J. Ballhausen and A.E. Hansen, Annu. Rev. Phys. Chem. 23, 15 (1972).
104. C.A. Mead, Mathematical Frontiers in Computational Chemical Physics, (Edited by D.G. Truhlar), Spring-er, New York, (1988).
105. C.A. Mead, Rev. Mod. Phys. 64, 51 (1992).