transmission coefficient. 1x of II

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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
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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