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 Vo with E > V0. The electrons are traveling in the x direction and they are originated from x =--. i. Find the transmission coefficient between regions l and II i. Find the reflection coefficient between regionsland II. ii. Assume the electron velocity is 7 x105 cm/s, E = V0 /0.1. Find the probability that there is an electron at the distance a = 70 A' after the barrier. iv. Determine the de Broglie wavelength in A? V(x) Incident particles Vo Region I Region II x = 0

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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 = --,
i.
Find the transmission coefficient between regions l and II
ii.
Find the reflection coefficient between regions l and II.
ii.
Assume the electron velocity is 7 x105 cm/s, E = V0 /0.1. Find the probability
that there is an electron at the distance a = 70 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 = --, i. Find the transmission coefficient between regions l and II ii. Find the reflection coefficient between regions l and II. ii. Assume the electron velocity is 7 x105 cm/s, E = V0 /0.1. Find the probability that there is an electron at the distance a = 70 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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