Consider the step potential u(x) = U for 1 0). [Hints: (i) Since we claim u(x) must be greater than zero somewhere, you may assume U< = 2. (ii) The algebra is easier if even and odd bound states are analyzed separately.] (c) Find reflection and transmission coefficients (for all positive ) if U > 0.

Answer the following questions. These are true or false questions. Justify your answer. 1) True or false. The set = {(–3,3)} spans ℝ . It is Linearly Independent (LI). It is a basis for ℝ . 2) True or false. The set = {(–1,5),(3,–15)} spans ℝ . It is LI. It is a basis for ℝ .2 3) True or false. The set = {(–6,7),(7,–6),(1,1)}...