The Born-Oppenheimer Approximation: Straight-up and with a twist

Reviews in Mathematical Physics

Volumn 9, Issue 4, 1997, Pages 467-488

  Herrin, J ^a   Howland, J S ^b  

^a EMORY UNIVERSITY   (United States)

^b UNIVERSITY OF VIRGINIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031285645     PISSN: 0129055X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129055X97000191     Document Type: Article

References (29)

1. M. Born and R. Oppenheimer, Ann. Phys. (Leipzig) 84 (1927) 457-484.
2. J. M. Combes, P. Duclos and R. Seiler, "The Born-Oppenheimer Approximation", Rigourous Atomic and Molecular Physics, eds. G. Velo and A. Wightman, New York; Plenum, 1981.
3. G. A. Hagedorn, Commun. Math. Phys. 77 (1980) 1.
4. G. A. Hagedorn, Ann. Math. 124 (1986) 571.
5. G. A. Hagedorn, Commun. Math. Phys. 116 (1988) 23-44.
6. G. A. Hagedorn, "Multiple scales and the time-independent Born-Oppenheimer approximation", Differential Equations and Applications, Ohio Univ. Press, 1989.
7. J.-M. Combes, "On the Born-Oppenheimer Approximation", International Symposium on Mathematical Problems in Theoretical Physics, ed. H. Araki, Berlin, Heidelberg, New York, Springer, 1975.
8. J.-M. Combes, "The Born-Oppenheimer Approximation", The Schrödinger Equation, eds. W. Thirring, P. Urban and Wien, New York, Springer, 1977.
9. M. Klein, A. Martinez, R. Seiler and X. P. Wang, Commun. Math. Phys. 143 (1992) 607-639.
10. M. Klein, A. Martinez and X. P. Wang, Commun. Math. Phys. 152 (1992) 73-95.
11. A. Martinez, Ann. Inst. H. Poincaré Sect. A, 50 (1989) 239-257.
12. A. Martinez, Journées E.P.D. de St. Jean-de-Monts (1988).
13. A. Martinez, J. Differential Equations 91 (1991) 204-234.
14. R. Seiler, Helv. Phys. Acta 46 (1973).
15. T. Kato, Perturbation Theory for Linear Operators, Springer, 1966.
16. B. Simon, Ann. Inst. Henri Poincaré, 38 (1983) 295.
17. M. G. Benedict, L. Gy. Feher and Z. Horvath, J. Math. Phys. 30 (1989) 1727-1731.
18. G. Herzberg and H. C. Longuet-Higgings, Disc. Farad. Soc. 35 (1963) 77-82.
19. R. Jackiw, Int. J. Mod. Phys. A3 (1988) 285-297.
20. C. A. Mead, Chem. Phys. 49 (1980) 23-38.
21. C. A. Mead, Phys. Rev. Lett. 59 (1987) 161-164.
22. J. Moody, A. Shapere and F. Wilczek, Phy. Rev. Lett. 56 (1986) 893.
23. Wilczek and A. Zee, Phys. Rev. Lett. 52 (1984) 2111.
24. P. A. M. Dirac, Proc. Roy. Soc. A, 127 (1931) 60.
25. I. Tamm, Z. Phys. 71 (1931) 141.
26. E. B. Davies and B. Simon, Commun. Math. Phys. 63 (1978) 277.
27. M. Berry, Proc. Roy. Soc. London A, 392 (1984) 45-57.
28. B. Simon, Phys. Rev. Lett. 51 (1983) 2167-2170.
29. J. Herrin, The Born-Oppenheimer approximation: straight-up and with a twist. Dissertation, University of Virginia, 1990.