For a quantum particle in a scattering state as it interacts a certain potential, the general expressions for the transmission and reflection coefficients are given by T = Jtrans Jinc R = | Jref Jinc (1) where Jinc, Jref, Jtrans are probability currents corresponding to the incident, reflected, and transmitted plane waves, respectively. (a). potential For the particle incident from the left to the symmetric finite square well -Vo; a < x < a, V(x) = 0 ; elsewhere, show that B Ꭲ ; R = A A
For a quantum particle in a scattering state as it interacts a certain potential, the general expressions for the transmission and reflection coefficients are given by T = Jtrans Jinc R = | Jref Jinc (1) where Jinc, Jref, Jtrans are probability currents corresponding to the incident, reflected, and transmitted plane waves, respectively. (a). potential For the particle incident from the left to the symmetric finite square well -Vo; a < x < a, V(x) = 0 ; elsewhere, show that B Ꭲ ; R = A A
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Transcribed Image Text:For a quantum particle in a scattering state as it interacts a certain potential, the general
expressions for the transmission and reflection coefficients are given by
T
=
Jtrans
Jinc
R =
| Jref
Jinc
(1)
where Jinc, Jref, Jtrans are probability currents corresponding to the incident, reflected,
and transmitted plane waves, respectively.
(a).
potential
For the particle incident from the left to the symmetric finite square well
-Vo; a < x < a,
V(x) =
0
; elsewhere,
show that
B
Ꭲ ;
R =
A
A
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