Hello, I was trying to make a simple model of an electron tunneling through several potential barriers. The electron will flow through a conductor to a heterojunction of possibly semiconductor/oxide layers. I assume the electron is coming as a plane wave from the left with some energy E. We know that k = sqrt(E - V) for each layer, but my question is, how do you determine E and V? Is E the fermi level in the conductor? Is V half of the band gap, which is the distance something at the fermi level would have to tunnel to reach the conduction band of the semiconductor/insulator? This problem is likely more complicated than this, but I just need somewhere to start.