Superadiabatic Transitions in Quantum Molecular Dynamics

@inproceedings{Betz2009SuperadiabaticTI,
  title={Superadiabatic Transitions in Quantum Molecular Dynamics},
  author={Volker Betz and Benjamin D. Goddard and Stefan Teufel},
  year={2009}
}
We study the dynamics of a molecule’s nuclear wave-function near an avoided crossing of two electronic energy levels, for one nuclear degree of freedom. We derive the general form of the Schrödinger equation in the n-th superadiabatic representation for all n ∈ N. Using these results, we obtain closed formulas for the time development of the component of the wave function in an initially unoccupied energy subspace, when a wave packet travels through the transition region. In the optimal… CONTINUE READING

From This Paper

Topics from this paper.
4 Citations
29 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-10 of 29 references

Proof of the Landau-Zener Formula

  • A. Joye
  • Asympt. Anal. 9:209–258
  • 1994
Highly Influential
9 Excerpts

Collected Papers of L.D

  • L. D. Landau
  • 1965
Highly Influential
16 Excerpts

Determination of non-adiabatic scattering wave functions in a bornoppenheimer model

  • G. A. Hagedorn, A. Joye
  • Ann. Henri Poincaré, 6(5):937–990
  • 2005
Highly Influential
7 Excerpts

Adiabatic perturbation theory in quantum dynamics

  • S. Teufel
  • volume 1821 of Lecture Notes in Mathematics…
  • 2003
Highly Influential
3 Excerpts

Mathematical analysis of Born-Oppenheimer approximations

  • G. A. Hagedorn, A. Joye
  • Proceedings of the ’Spectral Theory and…
  • 2007
1 Excerpt

Landau-Zener transitions for eigenvalue avoided crossings

  • V. Rousse
  • Asympt. Anal. 37:293-328
  • 2004
1 Excerpt

Similar Papers

Loading similar papers…