Considerthe step potential function shown below. Assume that a flux of electrons has energy E and it is incident on a potential barrier of height Vo with E> VO. The electrons are traveling in the x direction and they are originated from x =--, i. Find the transmission coefficient between regionsl and II ii. Find the reflection coefficient between regions l and II. iii. Assume the electron velocity is 2. x10° cm/s, E = V0 /0.1. Find the probability that there is an electron at the distance a = 2 A'after the barrier.

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Consider the step potential function shown below. Assume that a flux of electrons has
energy E and it is incident on a potential barrier of height V0 with E > V0. The electrons are
traveling in the x direction and they are originated from x = -,
Find the transmission coefficient between regions l and I
Find the reflection coefficient between regionsl and II.
i.
ii.
i.
Assume the electron velocity is 2. x10° cm/s, E = V0 /0.1. Find the probability
that there is an electron at the distance a = 2 A'after the barrier.
iv.
Determine the de Broglie wavelength in A:?
V(x)
Incident particles
Region I
Region II
x = 0
Transcribed Image Text:Consider the step potential function shown below. Assume that a flux of electrons has energy E and it is incident on a potential barrier of height V0 with E > V0. The electrons are traveling in the x direction and they are originated from x = -, Find the transmission coefficient between regions l and I Find the reflection coefficient between regionsl and II. i. ii. i. Assume the electron velocity is 2. x10° cm/s, E = V0 /0.1. Find the probability that there is an electron at the distance a = 2 A'after the barrier. iv. Determine the de Broglie wavelength in A:? V(x) Incident particles Region I Region II x = 0
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