  Electron transfer at electrode interfaces to molecules in solution or at the
electrode surface plays a vital role in numerous technological processes.
However, treating these processes requires a unified and accurate treatment of
the fermionic states of the electrode and their coupling to the molecule being
oxidized or reduced in the electrochemical processes and, in turn, the way the
molecular energy levels are modulated by the bosonic nuclear modes of the
molecule and solvent. Here we present a physically transparent quasiclassical
scheme to treat these electrochemical electron transfer processes in the
presence of molecular vibrations by using an appropriately chosen mapping of
the fermionic variables. We demonstrate that this approach, which is exact in
the limit of non-interacting fermions, is able to accurately capture the
electron transfer dynamics from the electrode even when the process is coupled
to vibrational motions in regimes of weak coupling. This approach thus provides
a scalable strategy to explicitly treat electron transfer from electrode
interfaces in condensed-phase molecular systems.
