Classification and normal forms for avoided crossings of quantum-mechanical energy levels

Journal of Physics A: Mathematical and General

Volumn 31, Issue 1, 1998, Pages 369-383

  Hagedorn, George A ^a  

^a VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032498047     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/31/1/031     Document Type: Article

References (8)

1. Hagedorn G A 1992 Classification and normal forms for quantum mechanical eigenvalue crossings Astérisque 210 115-34
2. Hagedorn G A 1994 Molecular propagation through electron energy level crossings Mem. Am. Math. Soc. 536 1-130
3. Hagedorn G A and Joye A Landau-Zener transitions through small electronic eigenvalue gaps in the Born-Oppenheimer approximation Ann. Int. H. Poincaré A in press
4. Hagedorn G A and Joye A Molecular propagation through small avoided crossings of electron energy levels Rev. Math. Phys. to appear
5. Lever J and Shaw R 1974 Irreducible multiplier corepresentations and generalized inducing Commun. Math. Phys. 38 257-77
6. Tits J 1965 Liesche Gruppen und Algebren Lecture Notes compiled by M Krämer and H Scheerer (Bonn: Mathematischen Institut) pp 74-5
7. Wigner E P 1959 Group Theory and ils Application to the Quantum Mechanics of Atomic Spectra (New York: Academic)
8. Wigner E P and von Neumann J 1929 Über das Verhalten von Eigenwerten bei adiabatischen Prozessen Z. Phys. 30 467-70