We study the dynamics of the electronic and nuclear degrees of freedom for molecules in strong laser fields using an ansatz for the wavefunction that explicitly incorporates the electron-nuclear correlation. Equations of motion for this wavefunction are derived on the basis of the stationary action principle. The method is tested on a one-dimensional model of the H-2(+) molecule that can be solved essentially exactly by numerical integration of the time-dependent Schrodinger equation. By comparison with this exact solution we find that the correlated approach improves significantly on a mean-field treatment, especially for laser fields strong enough to cause substantial dissociation. These results are very promising since our method still has a simple orbital structure and can hence be applied to realistic many-electron molecules. (C) 2004 Published by Elsevier B.V.
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