Geometric phases and quantum dynamics in spin-orbit coupled systems

Journal of Chemical Physics

Volumn 108, Issue 4, 1998, Pages 1503-1513

  Schön, Jörg ^a   Köppel, Horst ^a  

^a UNIVERSITY OF HEIDELBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000558405     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.475522     Document Type: Article

References (48)

1. A. Shapere and F. Wilczek, Geometric Phases in Physics (World Scientific, Singapore, 1989).
2. C. A. Mead, Rev. Mod. Phys. 64, 51 (1992).
3. G. Herzberg and H. C. Longuet-Higgins, Discuss. Faraday Soc. 35, 77 (1963).
4. H. C. Longuet-Higgins, Proc. R. Soc. London, Ser. A 344, 147 (1975).
5. C. A. Mead and D. G. Truhlar, J. Chem. Phys. 70, 2284 (1979).
6. C. A. Mead, Chem. Phys. 49, 23 (1980).
7. C. A. Mead, J. Chem. Phys. 72, 3839 (1980).
8. G. Delacrétaz et al., Phys. Rev. Lett. 56, 2598 (1986).
9. F. S. Ham, Phys. Rev. Lett. 58, 725 (1987).
10. R. Meiswinkel and H. Köppel, Chem. Phys. 144, 117 (1990).
11. R. Meiswinkel and H. Köppel, Z. Phys. D 19, 63 (1991).
12. A. Kuppermann and Y. M. Wu, Chem. Phys. Lett. 205, 577 (1993).
13. Y.-S. M. Wu and A. Kuppermann, Chem. Phys. Lett. 235, 105 (1995).
14. J. W. Zwanziger, M. Koenig, and A. Pines, Annu. Rev. Phys. Chem. 41, 601 (1990).
15. X. Wu, R. E. Wyatt, and M. D'Mello, J. Chem. Phys. 101, 2953 (1994).
16. J. Schön and H. Köppel, J. Chem. Phys. 103, 9292 (1995).
17. D. R. Yarkony, J. Chem. Phys. 100, 18612 (1996).
18. R. Baer, D. M. Charutz, R. Kosloff, and M. Baer, J. Chem. Phys. 105, 9141 (1996).
19. S. S. Xantheas, G. J. Atchity, S. T. Elbert, and K. Ruedenberg, J. Chem. Phys. 94, 8054 (1991).
20. M. V. Berry, Proc. R. Soc. London, Ser. A 392, 45 (1984).
21. V. J. Barclay et al., J. Chem. Phys. 103, 3864 (1995).
22. B. Kendrick and R. T. Pack, J. Chem. Phys. 104, 7475 (1995).
23. B. Kendrick and R. T. Pack, J. Chem. Phys. 104, 7502 (1995).
24. H. C. Longuet-Higgins, U. Öpik, M. H. L. Pryce, and R. A. Sack, Proc. R. Soc. London, Ser. A 244, 1 (1958).
25. K. Kobe et al., Chem. Phys. Lett. 213, 554 (1993).
26. J. Schön and H. Köppel, Chem. Phys. Lett. 231, 55 (1994).
27. A. J. Stone, Proc. R. Soc. London, Ser. A 351, 141 (1976).
28. C. A. Mead, Chem. Phys. 49, 33 (1980).
29. H. Koizumi and S. Sugano, J. Chem. Phys. 102, 4472 (1995).
30. R. Englman, The Jahn-Teller Effect in Molecules and Crystals (Wiley Interscience, London, 1972).
31. I. B. Bersuker and V. Z. Polinger, Vibronic Interactions in Molecules and Crystals (Springer-Verlag, Berlin, 1989).
32. P. Habitz and W. H. E. Schwarz, Theor. Chim. Acta 28, 267 (1973).
33. W. Lichten, Phys. Rev. 139, A27 (1965).
34. W. Lichten, Phys. Rev. 164, 131 (1967).
35. F. T. Smith, Phys. Rev. 179, 111 (1969).
36. T. F. O'Malley, Adv. Atom. Mol. Phys. 7, 223 (1971).
37. T. Pacher, L. S. Cederbaum, and H. Köppel, Adv. Chem. Phys. 84, 293 (1993).
38. H. Köppel, W. Domcke, and L. S. Cederbaum, Adv. Chem. Phys. 57, 59 (1984).
39. M. H. Perrin and M. Gouterman, J. Chem. Phys. 46, 1019 (1967).
40. P. J. Stephens, J. Chem. Phys. 51, 1995 (1969).
41. J. H. van der Waals, A. M. D. Berghuis, and M. S. de Groot, Mol. Phys. 21, 497 (1971).
42. M. Z. Zgierski and M. Pawlikowski, J. Chem. Phys. 70, 3444 (1979).
43. E. Haller et al., Chem. Phys. Lett. 85, 12 (1982).
44. H. Köppel, L. S. Cederbaum, and W. Domcke, J. Chem. Phys. 89, 2023 (1988).
45. A closer analysis reveals that there may be an additional off-diagonal matrix element of the spin-orbit coupling operator. It vanishes in the presence of a symmetry plane (Ref. 28) and is therefore neglected for the sake of simplicity.
46. H. Koizumi and S. Sugano, J. Chem. Phys. 101, 4903 (1994).
47. H. J. Schenk and W. H. E. Schwarz, Theor. Chim. Acta 24, 225 (1972).
48. A. S. Davydov, Quantum Mechanics, 2nd ed. (Pergamon, Oxford, 1976).