Location of conical intersections by the Pancharatnam connection and the sign-change theorem of Longuet-Higgins: A model calculation with the H 4 potential surface

Chemical Physics Letters

Volumn 313, Issue 1-2, 1999, Pages 283-292

  Fukumoto, Yuji ^a   Koizumi, Hiroyasu ^a   Makoshi, Kenji ^a  

^a UNIVERSITY OF HYOGO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0009316648     PISSN: 00092614     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0009-2614(99)01052-0     Document Type: Article

References (21)

1. M. Hammermesh, Group Theory and its Application to Physical Problems, Dover, New York, 1989, Chap. 12.
2. Berry M.V. Proc. Roy. Soc. Ser. A. 392:1984;45.
3. M. Born, K. Huang, Dynamical Theory of Crystal Lattices, Appendix VIII, Oxford University Press, Oxford, 1954.
4. Herzberg G., Longuet-Higgins H.C. Discuss. Faraday Soc. 35:1963;77.
5. A.S. Schwartz, Topology for Physics, Springer, Berlin, 1994.
6. Page D.N. Phys. Rev. A. 36:1987;3479.
7. Kiritsis E. Commun. Math. Phys. 111:1987;417.
8. Mead C.A., Trhular D.G. J. Chem. Phys. 70:1979;2284.
9. Wu Y.-S.M., Kuppermann A. Chem. Phys. Lett. 201:1993;178.
10. Desouter-Lecomte M., Galloy C., Lorquet J.C., Pires M.V. J. Chem. Phys. 71:1979;3661.
11. Bernardi F., Olivucci M., Robb M.A., Tonachini G.J. J. Am. Chem. Soc. 114:1992;5805.
12. Yarkony D.R. Rev. Mod. Phys. 68:1996;985.
13. Yarkony D.R. J. Chem. Phys. 109:1998;7047.
14. Gordon M.S., Glenzakou V.-A., Yarkony D.R. J. Chem. Phys. 108:1998;5657.
15. Pancharatnam S. Proc. Ind. Acad. Sci. A. 44:1956;247.
16. Samuel J., Bhandari R. Phys. Rev. Lett. 60:1988;2339.
17. Longuet-Higgins H.C. Proc. Roy. Soc. London A. 344:1975;147.
18. H.C. Longuet-Higgins, U. Öpik, M.H.L. Pryce, R.A. Sack, Proc. Roy. Soc. London, Ser. A 244 (1958) 1.
19. Mead C.A. Rev. Mod. Phys. 64:1992;51.
20. W.H. Press, B.P. Flannery, S.A. Teukolsky, W.T. Vetterling (Eds.), Numerical Recipes, Cambridge University Press, Cambridge, 1986.
21. Hehre W.J., Stewart R.F., Pople J.A. J. Chem. Phys. 51:1969;2657.