The microlocal Landau-Zener formula
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The projected single-particle Dirac operator for Coulombic potentials.
Jakubassa-Amundsen, D.H. (2005)
Documenta Mathematica
The quantum stability problem for time-periodic perturbations of the harmonic oscillator
M. Combescure (1987)
Annales de l'I.H.P. Physique théorique
The return of the quartic oscillator. The complex WKB method
A. Voros (1983)
Annales de l'I.H.P. Physique théorique
The role of locality in perturbation theory
H. Epstein, V. Glaser (1973)
Annales de l'I.H.P. Physique théorique
The time-dependent Born-Oppenheimer approximation
Gianluca Panati, Herbert Spohn, Stefan Teufel (2007)
ESAIM: Mathematical Modelling and Numerical Analysis
We explain why the conventional argument for deriving the time-dependent Born-Oppenheimer approximation is incomplete and review recent mathematical results, which clarify the situation and at the same time provide a systematic scheme for higher order corrections. We also present a new elementary derivation of the correct second-order time-dependent Born-Oppenheimer approximation and discuss as applications the dynamics near a conical intersection of potential surfaces and reactive scattering.
Currently displaying 1 – 6 of 6
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