Curve crossing induced dissociation : An analytically solvable model
  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. 
Aniruddha Chakraborty
quant-ph