Barrierless Electronic Relaxation in Solution: An analytically solvable model with arbitrary coupling

In our recent publication, we have proposed an analytical method for solving the problem of electronic relaxation in solution, modeled by a particle undergoing diffusive motion under the influence of two arbitrary potentials and the coupling between the two potentials was assumed to be localized at one point. In this paper we have extended our work to deal with the case of delocalized coupling between two potentials. The average and long term rate constant for delocalized coupling is presented.