- #1
Bunting
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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.Consider a potential step described by the function
V(x) = 0 for x < 0
V(x) = V(0) for x > 0
E > V(0) and is incident from the left.
So, what it wants me to do which I am 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 don't give me so much of a derivation or an answer, as a hint so I am 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 don't really understand why, or how I will achieve a general solution out of this.
Thanks for anything!