Curve crossing induced dissociation : An analytically solvable model

TL;DR

This paper presents an analytically solvable model for curve crossing induced dissociation, extending previous work to include dissociation effects on spectra using coupled harmonic and Morse oscillators.

Contribution

The paper introduces a new analytical model for curve crossing induced dissociation, expanding prior models to incorporate dissociation phenomena in spectral calculations.

Findings

Model effectively calculates dissociation effects on spectra.

Analytical solutions for coupled harmonic and Morse oscillators.

Extension of previous models to include dissociation phenomena.

Abstract

In our earlier papers we have proposed an analytically solvable model for the two state curve crossing problem which assumes the coupling to be a Dirac delta function. It is used to calculate the effect of curve crossing on electronic absorption spectrum and Resonance Raman excitation profile for the case of harmonic potentials. In this paper we have extended our model to deal with the curve crossing induced dissociation cases. Our method is used in this paper to calculate the effect of curve crossing induced dissociation on electronic absorption spectrum and Resonance Raman excitation profile. In this paper, a model consisting of a Harmonic oscillator and a Morse oscillator, coupled by Dirac delta function, is solved.