On trajectory-based nonadiabatic dynamics: Bohmian dynamics versus trajectory surface hopping

In this work, we present a complete derivation of the NonAdiabatic Bohmian DYnamics (NABDY) equations of motion. This approach naturally emerges from a transformation of the molecular time-dependent Schrödinger equation in the adiabatic representation of the electronic states. The numerical implemen...

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Bibliographic Details
Published in:The Journal of chemical physics 2013-05, Vol.138 (18), p.184112-184112
Main Authors: Curchod, Basile F E, Tavernelli, Ivano
Format: Article
Language:English
Subjects:
Approximation
Derivation
Dynamics
Equations of motion
Mathematical analysis
Mathematical models
Schroedinger equation
Trajectories
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Summary:In this work, we present a complete derivation of the NonAdiabatic Bohmian DYnamics (NABDY) equations of motion. This approach naturally emerges from a transformation of the molecular time-dependent Schrödinger equation in the adiabatic representation of the electronic states. The numerical implementation of the method is discussed while simple nonadiabatic models are employed to address the accuracy of NABDY and to reveal its ability to capture nuclear quantum effects that are missed in trajectory surface hopping (TSH) due to the independent trajectory approximation. A careful comparison of the correlated, NABDY, and the uncorrelated, TSH, propagation is also given together with a description of the main approximations and assumptions underlying the "derivation" of a nonadiabatic molecular dynamics scheme based on classical trajectories.
ISSN:0021-9606
1089-7690
DOI:10.1063/1.4803835