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In: Physics

1.- A) A particle of total energy 9V0 is incident from the -x-axis on a potential...

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.

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