I have a wave function problem that I need to figure out... I have a really borderline grade, so it could mean the difference between an 'A' and a 'B' in my graduate Modern Physics class. Basically, I have to figure out the wave function and the transmission and reflection coefficients. My professor did a really crappy job of explaining this stuff in class, so I'm totally lost. Here's the question: Consider a potential with the following shape: What are the wave functions for all regions of the problem is a particle beam approaches the barrier from negative infinity with an energy E? Find the reflection and transmission coefficients.