transmission coefficient. 1x of II
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Question
![A potential function is shown in the following with incident particles coming from -0 with a
total energy E>V2. The constants k are defined as
k₁
=
2mE
h?
h?
k₂ = √√2m (E - V₁)
h²
k3 = √√2m (E - V₂)
Assume a special case for which k₂a = 2nπ, n = 1, 2, 3,.... Derive the expression,
in terms of the constants, k₁, k2, and k3, for the transmission coefficient. The transmis-
sion coefficient is defined as the ratio of the flux of particles in region III to the inci-
dent flux in region I.
Incident particles E>V₂
I
V₁
II
V2
III
x = 0
x = a](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F75f0a1c0-4027-497a-aa76-eb36aa24bee0%2Fd050e421-8941-44b5-832e-b13dfe0098ea%2F0kdp7fr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A potential function is shown in the following with incident particles coming from -0 with a
total energy E>V2. The constants k are defined as
k₁
=
2mE
h?
h?
k₂ = √√2m (E - V₁)
h²
k3 = √√2m (E - V₂)
Assume a special case for which k₂a = 2nπ, n = 1, 2, 3,.... Derive the expression,
in terms of the constants, k₁, k2, and k3, for the transmission coefficient. The transmis-
sion coefficient is defined as the ratio of the flux of particles in region III to the inci-
dent flux in region I.
Incident particles E>V₂
I
V₁
II
V2
III
x = 0
x = a
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