Adiabatic and Quasidiabatic States in a Gauge Theoretical Framework

Advances in Chemical Physics

Volumn 84, Issue , 2006, Pages 293-391

  Pacher, T ^a   Cederbaum, L S ^a   Koppel H ^a  

^a UNIVERSITY OF HEIDELBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

THEORETICAL FRAMEWORK;

EID: 84858993709     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/9780470141427.ch4     Document Type: Chapter

References (109)

1. M. Born and R. Oppcnhcimer, Ann. Phys. (Leipzig) 84, 457 (1927).
2. M. Born and K. Huang, Dynumicuf Theory ofcrystul Lattices, Oxford University, New York, 1954.
3. C. J. Ballhausen and A. E. Hansen, Annu. Rev. Phys. Chem. 23, 15 (1972).
4. G. Herzberg, Molecular Spectra and Molecular Structure, Vol. 3, Van Nostrand, New
5. W. H. Miller, Ed., Dynamics of Molecular Collisions, Plenum, New York, 1976.
6. B. DiBartolo, Ed., Radiationless Processes, Plenum, New York, 1980.
7. M. S. Child, in Atom-Molecular Collision Theory, R. B. Bernstein, Ed., Plenum, New
8. V. Sidis, Adv. At. Mol. Phys. 26, 161 (1989).
9. H. Koppel, W. Domcke, and L. S. Cederbaum, Adv. Chem. Phys. 57, 59 (1984).
10. R. L. Whetten, G. S. Ezra, and E. R. Grant, Ann. Rev. Phys. Chem. 36, 277 (1985).
11. H. A. Jahn and E. Teller, Proc. R. SOC. A161, 220 (1937).
12. R. Englman, The Jahn-Teller Effect in Molecules and Crystals, Wiley, New York, 1972.
13. R. Bersuker, The Jahn-Teller Effect and Vibronic Interactions in Modern Chemistry, Plenum, New York, 1984.
14. I. B. Bersuker and V. Z. Polinger, Vibronic Interactions in Moleruler and Crystals, Springer, Berlin, 1989.
15. T. Azumi and K. Matsuzaki, Phorochem. Phufobiul. 25, 315 (1977).
16. L. D. Landau, Physik. 2. Sowjetunion 2, 46 (1932); C. Zener, Proc. R. Soc. A137, 696
17. H. Hellman and J. K. Syrkin. Actu Phys. Chem. USSR 2, 433 (1935).
18. W. Lichten, Phys. Rev. 131, 229 (1963); ibid. 139, A27 (1965); ibid. 164, 131 (1967).
19. F. Smith, Phys. Rev. 179, 111 (1969).
20. C. A. Mead and D. G. Truhlar, J. C'hem. Phys. Phys. 70, 2284 (1979).
21. J. Moody, A. Shapere, and F. Wilczek, Phys. Rev. Leu. 56, 893 (1986).
22. B. Zygelman, Phys. Lett. A125. 476 (1987); Phys. Rev. Lett. 64. 256 (1990).
23. T. Pacher, C. A. Mead, L. S. Cederbaum, and H. Koppel. J. C/wn. Phys. 91, 7057 (1989).
24. A. D. McLachlan, Mol. Phys. 4, 417 (1961).
25. C. A. Mead and D. G. Truhlar, J. Chem. Phy.~7. 7, 6090 (1982).
26. J. W. Zwanziger, M. Koenig, and A. Pines. Annu. Rev. Phys. Uhem. 41, 601 (1990).
27. M. Baer, Chem. Phys. Lett. 35, 112 (1975); Mol. Phys. 40, 1011 (1980).
28. L. S. Cederbaum, H. Kiippel, and W. Domcke, Ini. J. Quant. Chern. Symp. 15, 251 (1981).
29. T. Pacher, L. S. Cederbaum, and H. Koppcl, J. Chem. Phys. 89, 7367 (1988).
30. L. S. Cederbaum, J. Schirmer, and H.-D. Meyer. J. Phys. A22, 2427 (1989).
31. T. Pacher, H. Kiippel, and L. S. Cederbaurn, J. Chem. Phys. 95, 6668 (1991).
32. L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields, Pergamon, White
33. B. Andresen and S. E. Nielsen, Mol. Phys. 21, 523 (1971).
34. C. Itzykson and J.-B. Zuber, Quantum Field Theory, McGraw-Hill, New York, 1980.
35. K. Huang, Quarks. Leprons & Gauge Fields, World Scientific, Singapore, 1982.
36. I. J. R. Aitchinson and A. J. G. Hey, Gauge Theories in Particle Physics, Adam Hilger,
37. C. A. Mead, Phys. Rev. Lett. 59, 161 (1987).
38. J. Moody, A. Shapere, and F. Wilczek, in Geometric Phases in Physics, A. Shapere and
39. A. Bohm, B. Kcndrick, and M. E. Loewe, Int. J. Quant. Chem. 41, 53 (1992).
40. M. V. Berry, Proc. R. SOC. A392, 45 (1984).
41. A. Shapere and F. Wilczek, Eds., Geometric Phases in Physics, World Scientific, Singapore, 1989.
42. H. C. Longuet-Higgins, U. Opik, M. H. L. Prycc, and R. A. Sack, Proc. R. SOC. A244, 1 (1958).
43. G. Herzberg and H. C. Longuet-Higgins, Discuss. Faraday Soc. 35,77 (1963).
44. H. C. Longuet-Higgins, Proc. R. Soc. A M, 147 (1975).
45. F. Wilczek, Eds. World Scientific, Singapore, 1989.
46. C. A. Mead, Rev. Mod. Phys. 64, 51 (1992).
47. L. D. Landau and E. M. Lifshitz, Quantum Mechanics, Nonrelativistic Theory, Pcr-
48. H. C. Longuet-Higgins, Adv. Spectrosc. 2, 429 (1961).
49. C. N. Yang, Phys. Rev. Lett. 33, 44.5 (1974); T. T. Wu and C. N. Yang, Phys. Rev.
50. C. Cohen-Tannoudji, B. Diu, and F. Laloe, Quantum Mechanics, Hermann, Paris,
51. R. Rajaraman, Solitons and Instantons, North-Holland, Amsterdam, 1984.
52. M. Baer and R. Englman, Mol. Phys. 75, 293 (1992).
53. J. B. Delos and W. R. Thorson, J. Chem. Phys. 70, 1774 (1979).
54. C. Petrongolo. R. J. Buenker and S. D. Peyerimhoff, J. Chem. Phys. 78, 7284 (1983).
55. M. Desouter-Lecomte, D. Dehareng, and J. C. Lorquet, J. Chem. Phys. 86, 1429 (1987).
56. C. Galloy and J. C. Lorquet, J. Chem. Phys. 67, 4672 (1977).
57. Hirsch, P. J. Bruna, R. J. Buenker, and S. D. Peyerimhoff, Chem. Phys. 45, 335 (1980).
58. B. H. Lengsfield, P. Saxe, and D. R. Yarkony, J. Chem. Phys. 81, 4549 (1984).
59. P. Saxe, B. H. Lengsficld 111, and D. R. Yarkony, Chem. Phys. Lett. 113, 159 (1985).
60. B.H. Lcngsficld 111 and D. R. Yarkony, J. Chem. Phys. 84,348 (1986).
61. V. Sidis and H. Lefebvre-Brion, J. Phys. B4, 1040 (1971).
62. T. F. O'Malley, Phys. Rev. 162, 98 (1967); J. Chem. Phys. 51, 322 (1969); Adv. At.
63. R. W. Numrich and D. G. Truhlar, J. Phys. Chem. 79, 2745 (1975).
64. M. Persico, in Spectral Line Shapes, Vol. 3, F. Rostas, Ed., Walter dc Gruytcr & Co.,
65. R. Cimiraglia, J.-P. Malrieu, M. Persico, and F. Spicgelmann, J. Phys. 818, 3073
66. H.-J. Werner and W. Meyer, J. Chem. Phys. 74, 5802 (1981).
67. G. Hirsch and R. J. Buenker, Can. I. Chem. 63, 1542 (1985).
68. G. Hirsch, R. J. Buenker, and C. Petrongolo, Mol. Phys. 70, 835 (1990).
69. J. Hendekovii, Chem. Phys. Lett. 90, 193 (1982); Croar. Chem. Acta 56, 37.5 (1983).
70. Ozkan and L. Goodman, Chem. Rev. 79, 275 (1979).
71. B. Levy, in Spectral Line Shapes, B. Wende, Ed., Walter de Gruyter & Co., Berlin, 1981.
72. F. Spiegelmann and J.-P. Malrieu, J. Phys. R17, 1259 (1984).
73. F. X. Gadea, F. Spiegelmann, M. Pelissier, and J.-P. Malrieu, J. Chem. Phys. 84, 4872
74. B. H. Brandow, Rev. Mod. Phys. 39, 771 (1967); Ann. Phys. 57, 214 (1970): V.
75. I. Shavitt and L. T. Redmon, J. Chem. Phys. 73, 5711 (1980).
76. R. Zurmiihl and S. Falk. Matrizen und ihre Anwendungen, Springer, Berlin, 1984.
77. I. Lindgren, J. Phys. B7, 2441 (1974).
78. C. Bloch, Nucl. Phys. 6, 329 (1958).
79. D. J. Klein. J. Chem. Phys. 61, 786 (1974).
80. J. des C'loizeaux, Nucl. Phys. 20, 321 (1960).
81. A. Szabo and N. S. Ostlund, Modern Quantum Chemistry, Macmillan, New York, 1982.
82. P.-O. Lowdin. Phys. Rev. 97, 1474 (1955).
83. J. P. Gauyacq, J. Phys. B11, 85 (1978); J. Phys. B11, L217 (1978).
84. F. Tarantelli, L. S. Cederbaum, and P. Campos, J. Chem. Phys. 91, 7039 (1989).
85. Ch. Jungcn and A. J. Merer, in Molecular Spectroscopy: Modern Research. Vol. 2, K.
86. H. Koppel, W. Domcke, and L. S. Cederbaum, J. Chem. Phys. 74, 2945 (1981).
87. H. Kiippel, L. S. Cedcrbaum. W. Domcke. and W. von Niessen, Chem. Phys. 37. 303
88. J.-M. Rost and J. S. Briggs, Chem. Phys. Leff. 177, 321 (1991).
89. J.-M. Rost and.I. S. Briggs, J. Phys. 824, 4293 (1991).
90. R. T. Lawton and M. S. Child, Mol. Phys. 40, 773 (1980).
91. J. Manz and H. H. R. Schor, J. Phys. Chem. 90, 2030 (1986).
92. J. Manz and H. H. R. Schor, Chem. Phys. Lett. 107. 542 (1984).
93. K. C. Kulander. J. Manz, and H. H. R. Schor, J. Chem. Phys. 82, 3088 (1985).
94. R. H. Bisseling, R. Kosloff, J. Manz, F. Mrugala, J. Romelt, and G. Weichselbaumer. J. Chem. Phys. 86, 2626 (1987).
95. F. X. Gadca and P. J. Kuntz, Mol. Phys. 63, 27 (1988).
96. F. X. Gadca and P. J. Kuntz, Kvasnicka, Adv. Chem. Phys. 36, 345 (1977).
97. N. Rao, Ed., Academic Press, New York, 1976, p. 127.
98. B. R. Johnson, J. Chem. Phys. 67, 4086 (1977).
99. T. Pacher and J.-M. Rost, in preparation.
100. F. X. Gadea and M. Pelissier, J. Chem. Phys. 93, 545 (1990).
101. E. Ohrendorf, L. S. Cederbaum, and H. Koppel, Chem. Phys. Left. 151, 273 (1988).
102. H.-J. Werner, B. Follmeg. M. H. Alexander, and D. Lemoinc, 1. Chem. Phys. 91,5425
103. E. Ohrendorf, H. Koppel. L. S. Cederbaum, F. Tarantelli. and A. Sgamellotti, J. Chem. Phys. 91, 1734 (1989).
104. A. J. Merer and R. S. Mulliken, Chem. Rev. 69, 639 (1969).
105. T. H. Dunning, J. Chem. Phys. 53, 2823 (1970).
106. R. J. Buenkcr, S. D. Peyerimhoff, and W. Butscher, Mol. Phys. 35. 771 (1978).
107. F. X. Gadea et al., Phys. Rev. Lett. 66, 883 (1991).
108. M. V. Berry and R. Lim, J. Phys. A23, L655 (1990).
109. P. Ltvay, Yhys. Rev. A45, 1339 (1992).