Use your result in problem 1 to develop the Born approximation for one-dimensional scatter...

Use your result in problem 1 to develop the Born approximation for one-dimensional scattering (on the interval -∞ < x < ∞, with no “brick wall” at the origin). That is choose , and assume to ecaluate the integral. Show that the reflection coefficient takes the form:

problem 1

Find the Green's function for the one-dimensional Schrodinger equation, and use it to construct the integral form (analogous to Equation 1). Answer:

Equation 1