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The adiabatic limit of the exact factorization of the electron-nuclear wave function

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Eich,  Florian G.
Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;

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1.4959962.pdf
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1604.05098v2.pdf
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Citation

Eich, F. G., & Agostini, F. (2016). The adiabatic limit of the exact factorization of the electron-nuclear wave function. The Journal of Chemical Physics, 145(5): 054110. doi:10.1063/1.4959962.


Cite as: https://hdl.handle.net/11858/00-001M-0000-002B-174F-5
Abstract
We propose a procedure to analyze the relation between the exact factorization of the electron-nuclear wave function and the Born-Oppenheimer approximation. We define the adiabatic limit as the limit of infinite nuclear mass. To this end, we introduce a unit system that singles out the dependence on the electron-nuclear mass ratio of each term appearing in the equations of the exact factorization. We observe how non-adiabatic effects induced by the coupling to the nuclear motion affect electronic properties and we analyze the leading term, connecting it to the classical nuclear momentum. Its dependence on the mass ratio is tested numerically on a model of proton-coupled electron transfer in different non-adiabatic regimes.