Suppose that the potential jumps from zero to U 0 at x = 0 so that
Question:
Suppose that the potential jumps from zero to − U0 at x = 0 so that the free particle speeds up instead of slowing down. The wave number for the incident particle is again k1, and the total energy is 2U0.
(a) What is the wave number for the particle in the region of positive x?
(b) Calculate the reflection coefficient R at x = 0.
(c) What is the transmission coefficient T?
(d) If one million particles with wave number k1 are incident upon the potential step, how many particles are expected to continue along in the positive x direction? How does this compare with the classical prediction?
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a Proceed as in the preceding problem Now E h 2 k 2 2 2 m U 0 2 U ...View the full answer
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