Consider the step potential
V (x) = 0 x ≤ 0 (I)
= V0 x > 0 (II) .
(a) What does the wave function for the scattering problem with 0< E < V0 look like in regions I and II? (Write the equationfor the wave functions, including only terms with non-zerocoefficients.)
(b) What are the boundary conditions for the wave function and itsderivative at x = 0? Deï¬ne constants you are using (e.g., κ, k, lor whatever else you are using).
(c) Find the reflection coefficient.
