Theory Department
Max Planck Institute of Microstructure Physics
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Castro, A., Gross, E. K. U.

Optimal control theory for quantum-classical systems: Ehrenfest molecular dynamics based on time-dependent density-functional theory
Journal of Physics A 47, (2),pp 025204/1-15 (2013)
We derive the fundamental equations of an optimal control theory for systems containing both quantum electrons and classical ions. The system is modeled with Ehrenfest dynamics, a non-adiabatic variant of molecular dynamics. The general formulation, that needs the fully correlated manyelectron wavefunction, can be simplified by making use of time-dependent density-functional theory. In this case, the optimal control equations require some modifications that we will provide. The abstract general formulation is complemented with the simple example of the H+2 molecule in the presence of a laser field.

TH-2013-54