First it asks a few questions about what if it were a classical particle approaching the barrier. Much of this I understand and am OK with. Then we start treating the particle as a quantum thing so its governed by the TI Schrodinger EQ. So, what it wants me to do which im a bit unsure about is find the "general solution for the eigenfunctions" in the 2 regions. I have searched a few sites I found on google, and some lecture notes - but they dont give me so much of a derivation or an answer, as a hint so im a bit hazy. What I think there looking for is... phi(sub1)(x) = A(sub1)*e(i*k(sub1)*x) + A'(sub1)*e-(i*k(sub1)*x) phi(sub2)(x) = A(sub2)*e(i*k(sub2)*x) + A'(sub2)*e-(i*k(sub2)*x) But I dont really understand why, or how I will achieve a general solution out of this. Thanks for anything!