Non-adiabatic transitions through tilted avoided crossings

Details Non-adiabatic transitions through tilted avoided crossings Non-adiabatic transitions through tilted avoided crossings

2010-07-15

arxiv.org/abs/1007.2596v1

Physics

Mathematical Physics

22 pages, 3 figures

Scientific paper

We investigate the transition of a quantum wave-packet through a one-dimensional avoided crossing of molecular energy levels when the energy levels at the crossing point are tilted. Using superadiabatic representations, and an approximation of the dynamics near the crossing region, we obtain an explicit formula for the transition wavefunction. Our results agree extremely well with high precision ab-initio calculations.

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