The AC stark effect, Time-Dependent Born-Oppenheimer approximation, and Tranck-Condon factors

Annales Henri Poincare

Volumn 7, Issue 6, 2006, Pages 1065-1083

  Hagedorn, George A ^a   Rousse, Vidian ^b   Jilcott Jr , Steven W ^c  

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

^b UNIVERSITÉ DE CERGY PONTOISE   (France)

^c BAE SYSTEMS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33751033567     PISSN: 14240637     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00023-006-0276-6     Document Type: Article

References (14)

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2. E.U. Condon, Nuclear Motions Associated with Electron Transitions in Diatomic Molecules, Phys. Rev. 32 (1928), 858-872.
3. J. Franck, Elementary Processes of Photochemical Reactions, Trans. Faraday Soc. (1925), 536-542.
4. I.S. Gradshteyn and I.M. Ryzhik, Table of Integrals, Series, and Products, Fifth Ed. San Diego, Academic Press, 1980.
5. G.A. Hagedorn, High Order Corrections to the Time-Dependent Born-Oppenheimer Approximation I: Smooth Potentials, Ann. Math. 124 (1986), 571-590. Erratum 126 (1987), 219.
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7. G.A. Hagedorn, Time-Reversal Invariance and the Time-Dependent Born-Oppenheimer Approximation, in Forty More Years of Ramifications: Spectral Asymptotics and Its Applications, ed by S.A. Fulling and F.J. Narcowich. Discourses in Mathematics and Its Applications, No. 1, Texas A&M University Press, 1991.
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9. G.A. Hagedorn, Raising and Lowering Operators for Semiclassical Wave Packets, Ann. Phys. 269 (1998), 77-104.
10. G.A. Hagedorn and S.L. Robinson, Bohr-Sommerfeld Quantization Rules in the Semiclassical Limit, J. Phys. A. 31 (1998), 10113-10129.
11. S.W. Jilcott, Time Dependent Perturbation and the Born-Oppenheimer Approximation. Doctoral Thesis, Virginia Tech, Blacksburg, VA. 2000.
12. S.W. Jilcott, The AC Stark Effect and the Time-Dependent Born-Oppenheimer Approximation, Ann. H. Poincaré 4 (2003), 947-972.
13. V. Rousse, Approximation de Born-Oppenheimer en présence de (presque) croisement de surfaces d'énergie. Doctoral Thesis, Institut Fourier, Université Joseph Fourier, Grenoble, France. 2004.
14. V. Rousse, Construction of Quasimodes for Schrödinger Operators with Matrix Potential Presenting Eigenvalue (Avoided) Crossings, (in preparation).