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Conditional Born-Oppenheimer dynamics: quantum dynamics simulations for the model porphine
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We report a new theoretical approach to solve adiabatic quantum molecular dynamics halfway between wave function and trajectory-based methods. The evolution of a N- body nuclear wave function moving on a 3N-dimensional Born−Oppenheimer potential-energy hyper-surface is rewritten in terms of single-nuclei wave functions evolving nonunitarily on a 3-dimensional potential-energy surface that depends parametrically on the configuration of an ensemble of generally defined trajectories. The scheme is exact and, together with the use of trajectory-based statistical techniques, can be exploited to circumvent the calculation and storage of many-body quantities (e.g., wave function and potential-energy surface) whose size scales exponentially with the number of nuclear degrees of freedom. As a proof of concept, we present numerical simulations of a 2-dimensional model porphine where switching from concerted to sequential double proton transfer (and back) is induced quantum mechanically
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ALBAREDA, Guillermo, et al. Conditional Born-Oppenheimer dynamics: quantum dynamics simulations for the model porphine. Journal of Physical Chemistry Letters. 2015. Vol. 6, num. 9, pags. 1529-1535. ISSN 1948-7185. [consulted: 30 of October of 2026]. Available at: https://hdl.handle.net/2445/153918