%0 Journal Article %T Classical nuclear motion coupled to electronic non-adiabatic transitions %A Federica Agostini %A Ali Abedi %A E. K. U. Gross %J Physics %D 2014 %I arXiv %R 10.1063/1.4902225 %X We present a detailed derivation and numerical tests of a new mixed quantum-classical scheme to deal with non-adiabatic processes. The method is presented as the zero-th order approximation to the exact coupled dynamics of electrons and nuclei offered by the factorization of the electron-nuclear wave function [A. Abedi, N. T. Maitra and E. K. U. Gross, Phys. Rev. Lett., 105 (2010)]. Numerical results are presented for a model system for non-adiabatic charge transfer in order to test the performance of the method and to validate the underlying approximations. %U http://arxiv.org/abs/1406.5126v1