18.1 Continuous Energy Solutions

In this unit description of scattering and scheme of computation of cross  section in quantum mechanics is introduced. This is achieved by imposing a  suitable boundary condition on the solution of the time independent  Schr\"{o}dinger equation and converting Schr\"{o}dinger equation into an  integral equation using the Green function for the free particle Schr\"{o}dinger equation. A perturbative solution of the integral equation leads to the Born  approximation for the scattering amplitude.