Problem II: (40 points + 6 bonus points) Please work out sol…

Prоblem II: (40 pоints + 6 bоnus points) Pleаse work out solutions legibly аnd cleаrly on your own paper.  Once you close out of the exam, you will have 10 minutes to scan and upload your work to Canvas.  Please consider an electron with energy E moving in a one-dimensional potential shown below. Assume for 1-3 E < V0. Write the time-independent Schrödinger equations in Regions II and III. Write the general form of the wavefunctions in Regions I, II, and III. State all boundary conditions required to determine the constants in the wavefunctions.(You do not need to solve for the constants.)   4. (Optional, 6 bonus points) Repeat parts (1) and (2) for the case E > V0. (If you cannot see the figures, please see the pdf file posted. Some math formulas are given in the pdf as well, in case you need them.) (Please do not write or submit your answer here. Please use the link given on Canvas. )