Predissociation of Diatomic Molecules: An Analytically Solvable Model
  A model consisting of a Harmonic Oscillator well and a linear potential, coupled by Dirac delta function, is solved. We find the exact analytical expressions for Green's function for this problem. This Green's functions are used to calculate the Raman excitation profile and electronic absorption spectrum. 
Aniruddha Chakraborty
quant-ph