A generating function for the product of the Laguerre polynomials: Franck - Condon factor for multiphoton processes
Gautam Gangopadhyay · Journal of Physics A Mathematical and General · 1998
We have formulated the generating function for the product of Laguerre polynomials and is used to determine the Franck - Condon factor for multiphoton transition between the electronic states on the adiabatic potential surfaces of the model displaced harmonic oscillator system. It is shown that for the multiphoton transition, the independent displacements from the successive adiabatic curves can be calculated from the experimental measurement of the Franck - Condon factor.