Problems: 1- A particle of mass m and total energy E = 2V, is moving in one dimension under the influence of a potential given by: for x < 0 V(x)= {20 for x>0 The particle is incident from x<0 with a wave function Aeikx. What is the reflection coefficient R and what is the transmission coefficient T. V(x) V(x) = Vo 0 V(x) = 0 E = 2Vo 2- A particle is moving at one dimensional well of a potential given by: for 0 < x Vo? 2- Calculate the reflection R and transmission T coefficients?

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Problems:
1- A particle of mass m and total energy E = 2V, is moving in one dimension
under the influence of a potential given by:
for x < 0
V(x)= {20 for
x>0
The particle is incident from x<0 with a wave function Aeikx.
What is the reflection coefficient R and what is the transmission coefficient
T.
V(x)
V(x) = Vo
0
V(x) = 0
E = 2Vo
2- A particle is moving at one dimensional well of a potential given by:
for 0 < x <a
V(x) = { for
a≤ x ≤
1- Calculate the eigenfunctions and eigenvalues when E< V and E> Vo?
2- Calculate the reflection R and transmission T coefficients?
Transcribed Image Text:Problems: 1- A particle of mass m and total energy E = 2V, is moving in one dimension under the influence of a potential given by: for x < 0 V(x)= {20 for x>0 The particle is incident from x<0 with a wave function Aeikx. What is the reflection coefficient R and what is the transmission coefficient T. V(x) V(x) = Vo 0 V(x) = 0 E = 2Vo 2- A particle is moving at one dimensional well of a potential given by: for 0 < x <a V(x) = { for a≤ x ≤ 1- Calculate the eigenfunctions and eigenvalues when E< V and E> Vo? 2- Calculate the reflection R and transmission T coefficients?
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