title: Barrierless electronic relaxation in solution: An analytically solvable model.
abstract: We propose an analytical method for understanding the problem of electronic relaxation in solution, modelled by a particle undergoing diffusive motion under the influence of two potentials. The coupling between the two potentials is assumed to be represented by a Dirac delta function. The diffusive motion in this paper is described by the Smoluchowski equation. Our solution requires the knowledge of the Laplace transform of the Green's function for the motion in both the uncoupled potentials. Our model is more general than all the earlier models, because we are the first one to consider the effect of ground state potential energy surface explicitly.
authors.affiliation: School of Basic Sciences, Indian Institute of Technology Mandi, Mandi 175001, Himachal Pradesh, India.
authors.forename: Aniruddha
authors.initials: A
authors.lastname: Chakraborty