arXiv · 1407.3788
Beyond the Born-Oppenheimer approximation with quantum Monte Carlo
Abstract
In this work we develop tools that enable the study of non-adiabatic effects with variational and diffusion Monte Carlo methods. We introduce a highly accurate wave function ansatz for electron-ion systems that can involve a combination of both fixed and quantum ions. We explicitly calculate the ground state energies of H$_{2}$, LiH, H$_{2}$O and FHF$^{-}$ using fixed-node quantum Monte Carlo with wave function nodes that explicitly depend on the ion positions. The obtained energies implicitly include the effects arising from quantum nuclei and electron-nucleus coupling. We compare our results to the best theoretical and experimental results available and find excellent agreement.
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Norm M. Tubman, Ilkka Kylänpää, Sharon Hammes-Schiffer, David M. Ceperley. 2014-07-14. Beyond the Born-Oppenheimer approximation with quantum Monte Carlo. https://doi.org/10.1103/physreva.90.042507
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