Long Range Electron Transfer Reactions: An Analytically Solvable Model

Abstract

We propose an analytical method for understanding the problem of long range electron transfer reaction in solution, modeled by a particle undergoing diffusive motion under the influence of many potentials which are involved (donor - bridge - acceptor) in the process. The coupling between these potentials are assumed to be represented by Dirac Delta functions. The diffusive motion in this paper is represented by the Smoluchowski equation. Our solution requires the knowledge of the Laplace transform of the Green's function for the motion in all the uncoupled potentials.

References in corpus (1)

• Curve Crossing Problems: Analytically solvable model

Cited by in corpus (4)

• Multi-Channel Electron Transfer Reactions: An Analytically Solvable Model
• Two state scattering problem to Multi-channel scattering problem: Analytically solvable model
• Curve Crossing Problem with Arbitrary Coupling: Analytically Solvable Model
• Transition time estimation for $\delta$-function coupling in two state problem: An analytically solvable model