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Entropy 2014, 16(1), 62-85; doi:10.3390/e16010062

Nonadiabatic Molecular Dynamics Based on Trajectories

Laboratory of Computational Chemistry and Biochemistry, Ecole Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
* Author to whom correspondence should be addressed.
Received: 18 September 2013 / Revised: 12 December 2013 / Accepted: 16 December 2013 / Published: 27 December 2013
(This article belongs to the Special Issue Molecular Dynamics Simulation)
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Performing molecular dynamics in electronically excited states requires the inclusion of nonadiabatic effects to properly describe phenomena beyond the Born-Oppenheimer approximation. This article provides a survey of selected nonadiabatic methods based on quantum or classical trajectories. Among these techniques, trajectory surface hopping constitutes an interesting compromise between accuracy and efficiency for the simulation of medium- to large-scale molecular systems. This approach is, however, based on non-rigorous approximations that could compromise, in some cases, the correct description of the nonadiabatic effects under consideration and hamper a systematic improvement of the theory. With the help of an in principle exact description of nonadiabatic dynamics based on Bohmian quantum trajectories, we will investigate the origin of the main approximations in trajectory surface hopping and illustrate some of the limits of this approach by means of a few simple examples.
Keywords: nonadiabatic dynamics; trajectory surface hopping; Ehrenfest dynamics; Bohmian dynamics; Born-Oppenheimer approximation nonadiabatic dynamics; trajectory surface hopping; Ehrenfest dynamics; Bohmian dynamics; Born-Oppenheimer approximation
This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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de Carvalho, F.F.; Bouduban, M.E.F.; Curchod, B.F.E.; Tavernelli, I. Nonadiabatic Molecular Dynamics Based on Trajectories. Entropy 2014, 16, 62-85.

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