Considerthe step potentialfunction shown below. Assume thata 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 fromx =-. Find the transmission coefficient between regions l and Il Find the reflection coefficient between regions l and II. i. ii. ii. 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 Vo Region I Region II x = 0

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter29: Atomic Physics
Section: Chapter Questions
Problem 24P
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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 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 I
ii.
Find the reflection coefficient between regions l and 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 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 I ii. Find the reflection coefficient between regions l and 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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