Stuttgart 2012 – scientific programme
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A: Fachverband Atomphysik
A 26: Poster: Atomic systems in external fields
A 26.3: Poster
Wednesday, March 14, 2012, 16:30–19:00, Poster.V
Dominant interaction Hamiltonians — •Carlos Zagoya1, Martin Gerlach1, Jan-Michael Rost1, and Frank Grossmann2 — 1Max Planck Institute for the Physics of Complex Systems, D-01187 Dresden — 2Institut für Theoretische Physik, Technische Universität Dresden, D-01062 Dresden
We introduce the concept of dominant interaction Hamiltonians (DIH) in order to disentangle non-separable dynamics by splitting it into spatial regions where the dominant potential is taken as the only interaction. Firstly, by applying the DIH concept we obtain an integrable approximation to the dynamics of an electron exposed to a strong laser field and an atomic potential. The high harmonic generation spectrum obtained by using the semiclassical Herman-Kluk propagator (HK) [1] is in excellent agreement with the full quantum mechanical result [2]. Secondly, we apply the DIH scheme to the classical two electron dynamics of electron-ion scattering. We find that the energy sharing deflection function and energy sharing cross-section obtained by the DIH approximation show the essential features present in the full dynamics [3].
[1] M. F. Herman and E. Kluk, Chem. Phys. 91, 27 (1984)
[2] G. van de Sand and J.-M. Rost, Phys. Rev. Lett. 83, 524 (1999)
[3] M. Gerlach et al., preprint, arXiv:1110.1545
This work was partly supported by the DFG through grant GR 1210/4-2 (FG).