Diffusion–reaction approach to electronic relaxation in solution. An alternative simple derivation for two state model with a Dirac delta function coupling

Swati Mudra and Aniruddha Chakraborty

Physica A: Statistical Mechanics and its Applications, 2020, vol. 545, issue C

Abstract: We give a very simple method for finding the exact analytical solution for the problem of electronic relaxation in solution, modeled by a particle undergoing diffusive motion under the influence of two potentials and the coupling between two potentials is assumed to be represented by Dirac delta function of arbitrary strength and position. Diffusive motion on both the potentials are described by Smoluchowski equation. Green’s function method has been used to solve the coupled equations. The solution requires expression of the Green’s function for the motion in isolated potentials. We apply our method to the case of coupled parabolic potentials.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:545:y:2020:i:c:s0378437119321041

DOI: 10.1016/j.physa.2019.123779

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