Infinite-order non-Born-Oppenheimer perturbation theory for systems with intersecting potentials

Physical Review A. Atomic, Molecular, and Optical Physics

Volumn 63, Issue 4, 2001, Pages 425101-4251011

  Dufey, Florian ^a   Fischer, Sighart ^a  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ELECTRONIC STRUCTURE; HAMILTONIANS; PERTURBATION TECHNIQUES; POTENTIAL ENERGY; QUANTUM THEORY;

NONADIABATIC COUPLING; PERTURBATION EXPANSIONS;

ELECTRON ENERGY LEVELS;

EID: 4243680026     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (23)

1. M. Born and R. Oppenheimer, Ann. Phys. (Paris) 84, 457 (1927).
2. M. Born, Festschrift Göttinger Akademie der Wissenschaften, I: Math.-Phys. Klasse 1, (1951).
3. M. Born, Nachr. Akad. Wiss. Gött. II, Math.-Phys. Kl. Article No. 6, 1 (1951).
4. C. J. Ballhausen and A. E. Hansen, Annu. Rev. Phys. Chem. 23, 15 (1972).
5. Potential Energy Surfaces, edited by A. F. Sax, Lecture Notes in Chemistry Vol. 71 (Springer, Berlin, 1999).
6. T. Azumi and K. Matsuzaki, Photochem. Photobiol. 25, 315 (1977).
7. E. Teller, J. Phys. Chem. 41, 109 (1937).
8. E. Teller, Isr. J. Chem. 7, 227 (1969).
9. H. Köppel, W. Domcke, and L. S. Cederbaum, Adv. Chem. Phys. 57, 59 (1984).
10. G. A. Hagedorn, Molecular Propagation Through Electron Energy Level Crossings, Memoirs of the American Mathematical Society Vol. 536 (American Mathematical Society, Providence, RI, 1994).
11. R. Englman, in The Jahn-Teller Effect in Molecules and Crystals, edited by J. B. Birks (Wiley-Interscience, London, 1972).
12. M. Wagner, J. Chem. Phys. 82, 3207 (1985).
13. V. Špirko and J. Čižek, J. Chem. Phys. 106, 6338 (1997).
14. M. R. V. Špirko, M. Rozložník, and J. Čižek, Phys. Rev. A 61, 014102 (1999).
15. B. T. Sutcliffe, Faraday Transact. 89, 2321 (1993).
16. R. L. Fulton and M. Gouterman, J. Chem. Phys. 35, 1059 (1961).
17. S. Albeverio, F. Gesztesy, R. Høeg-Krohn, and H. Holden, Solvable Models in Quantum Mechanics, Texts and Monographs in Physics (Springer, New York, 1988).
18. Handbook of Mathematical Functions, 9th ed., edited by M. Abramowitz and I. A. Stegun (Dover, New York, 1972).
19. E. Merzbacher, Quantum Mechanics, 3rd ed. (Wiley, New York, 1998).
20. H. Kalka and G. Soff, Supersymmetrie (Teubner, Stuttgart, 1997).
21. J. M. Hutson and B. J. Howard, Mol. Phys. 41, 1113 (1980).
22. T. Kato, Perturbation Theory for Linear Operators (Springer, Berlin, 1966).
23. J. O. Hirschfelder and W. B. Byers Brown, Adv. Quantum Chem. 1, 255 (1964).