1. The problem statement, all variables and given/known data We are interested in the solution of the Schrodinger equation with positive energy E = h_^2k^2/2m for the potential V(x) = -v_0*delta(x). We take the scattering state under the form Ae^ikx+Be^-ikx for x<0, and Ce^ikx+De^-ikx for x>0 Find the scattering matrix S(k) 2. Relevant equations S(k)-1/(2ik) = f(k). 3. The attempt at a solution I'm not sure where to start here. How do you find the scattering matrix for a 1-D case? I know how do do it for a 3D case.