Problems of coherent description of electron transfer reactions

Possible modifications of the Zusman stochastic equations aimed to account for quantum interference effect between basic states of the system have been investigated. Starting with Caldeira-Leggett theory we obtain a set of equations in phase space for the Wigner function that includes account for the nonequilibrium distribution in a momentum space at short time scale and a variant of recasting the density matrix equation on a term to the Lindblad form. It has been shown that the applicability of the proposed models is broader compare to the original Zusman equations.