In: Physics
1.-
A) A particle of total energy 9V0 is incident from the -x-axis on a potential given by V(x) = 8V0 for x < 0, V(x) = 0 for 0 < x < a and V(x) = 5V0 for x > a. Find the probability that the particle will be transmitted on through to the positive side of the x-axis, x > a.
B) Consider a particle incident from the left on a potential step which is defined as V(x) = V1 for x < 0 and V(x) = V2 for x > 0 with V1 < V2. Find the solution of the Schrödinger equation for the following cases: (i) V1 < E < V2 (ii) E > V2.