Semiclassical theory of time-dependent curve crossing problems

Journal of Chemical Physics

Volumn 107, Issue 6, 1997, Pages 1904-1914

  Teranishi, Yoshiaki ^a   Nakamura, Hiroki ^a,b  

^a GRADUATE UNIVERSITY FOR ADVANCED STUDIES   (Japan)

^b INSTITUTE FOR MOLECULAR SCIENCE   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; PROBABILITY; PROBLEM SOLVING; QUANTUM THEORY;

CURVE CROSSING PROBLEM; LINEAR POTENTIAL MODEL; NONADIABATIC TRANSITION; SEMICLASSICAL THEORY; TRANSITION PROBABILITY; ZENER TRANSITION;

PHASE TRANSITIONS;

EID: 0031559525     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.474541     Document Type: Article

References (32)

1. H. Nakamura, Dynamics of Molecules and Chemical Reactions, edited by R. E. Wyatt and J. Z. H. Zhang (Marcel Dekker, New York, 1996), p. 473.
2. M. S. Child, Molecular Collision Theory (Academic, New York, 1974).
3. E. E. Nikitin, S, Ya, Umanskii, Theory of Atomic Collisions (Springer, Berlin, 1984).
4. H. Nakamura and C. Zhu, Comments At. Mol. Phys. 32, 249 (1996).
5. H. Nakamura, Int. Rev. Phys. Chem. 10, 123 (1991).
6. K. Nasu and Y. Kayanuma, Butsuri 35, 226 (1980) (in Japanese).
7. Dynamical Processes and Ordering on Solid Surfaces, edited by A. Yoshimori and M. Tsukada (Springer, Berlin, 1985).
8. F. O. Goodman and H. Nakamura, Prog. Sur. Sci. 50, 389 (1995).
9. Electron Transfer in Inorganic, Organic, and Biological Systems, Advances in Chemistry Series 228, edited by J. Bolton, N. Mataga and G. Mclendon (American Chemical Society, Washington, D.C., 1991).
10. D. Kleppner, M. G. Littman, and M. L. Zimmerman, Rydberg States of Atoms and Molecules, edited by R. F. Stebbings and F. B. Dunning (Cambridge University Press, Cambridge, 1983).
11. M. Buttiker, Y. Imry, and R. Landauer, Phys. Lett. 96A, 523 (1983).
12. R. Landauer and M. Buttiker, Phys. Rev. Lett. 54, 2049 (1986).
13. Y. Gefen, E. Ben-Jacob, and A. O. Caldeira, Phys. Rev. B 36, 2770 (1987).
14. Y. Gefen and D. J. Thouless, Phys. Rev. Lett. 59, 1572 (1987).
15. G. Blatter and D. A. Browne, Phys. Rev. B 37, 3856 (1988).
16. K. Mullen, E. Ben.-Jacob, Y. Gefen, and Z. Schuss, Phys. Rev. Lett. 62, 2543 (1989).
17. C. Zhu and H. Nakamura, J. Math. Phys. 33, 2697 (1992).
18. C. Zhu, H. Nakamura, N. Re, and V. Aquilanti, J. Chem. Phys. 97, 1892 (1992).
19. C. Zhu and H. Nakamura, J. Chem. Phys. 97, 8497 (1992); 98, 6208 (1993): 101, 4855 (1994).
20. C. Zhu and H. Nakamura, J. Chem. Phys. 97, 8497 (1992); 98, 6208 (1993): 101, 4855 (1994).
21. C. Zhu and H. Nakamura, J. Chem. Phys. 97, 8497 (1992); 98, 6208 (1993): 101, 4855 (1994).
22. C. Zhu and H. Nakamura, J. Chem. Phys. 101, 10630 (1994).
23. C. Zhu and H. Nakamura, J. Chem. Phys. 102, 7448 (1995).
24. Yu. N. Demkov and V. N. Ostrovsky, Zero-Range Potentials and Their Applications in Atomic Physics (Plenum, New York, 1988).
25. Yu. N. Demkov and M. Kunike, Vest. Leningrad. Univ. Fis. Chem. 16, 39 (1969).
26. Yu. N. Demkov and V. I. Osherov, JETP 26, 916 (1968).
27. Yu. N. Demkov and V. N. Ostrovsky, J. Phys. B 28, 403 (1995).
28. C. E. Carroll and F. T. Hioe, J. Phys. A 19, 1151 (1986).
29. S. Brundobler and V. Elser, J. Phys. A 26, 1211 (1993).
30. V. N. Ostrovskii and H. Nakamura, J. Phys. A (in press).
31. C. Zhu and H. Nakamura, Chem. Phys. Lett. 258, 342 (1996).
32. C. Zhu and H. Nakamura, J. Chem. Phys. 106, 2599 (1997).