2. A free particle (a particle that has zero potential energy) has mass 8 eV/c² and total energy 10 eV and is traveling to the right. At x = 0, the potential jumps from zero to Vo = 5 eV and remains at this value for all positive x. (a) In classical mechanics, what happens to the particle when it reaches x = 0? (b) What is the wavenumber of the quantum particle in the region x > 0? (c) Find the reflection coefficient R and the transmission coefficient T for the quantum particle.

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2. A free particle (a particle that has zero potential energy) has mass 8 eV/c² and total energy
10 eV and is traveling to the right. At x = 0, the potential jumps from zero to Vo = 5 eV
and remains at this value for all positive x.
(a) In classical mechanics, what happens to the particle when it reaches x = 0?
(b) What is the wavenumber of the quantum particle in the region x > 0?
(c) Find the reflection coefficient R and the transmission coefficient T for the quantum
particle.
(d) If one million particles with this same momentum and energy are incident on this poten-
tial step, how many particles are expected to continue along in the positive x direction?
How does this compare with the classical prediction?
Transcribed Image Text:2. A free particle (a particle that has zero potential energy) has mass 8 eV/c² and total energy 10 eV and is traveling to the right. At x = 0, the potential jumps from zero to Vo = 5 eV and remains at this value for all positive x. (a) In classical mechanics, what happens to the particle when it reaches x = 0? (b) What is the wavenumber of the quantum particle in the region x > 0? (c) Find the reflection coefficient R and the transmission coefficient T for the quantum particle. (d) If one million particles with this same momentum and energy are incident on this poten- tial 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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