4. Resonant Transmission across a Potential Well V,E -Vo Consider the potential well of denth V and wvidth w as shown in the figure above
4. Resonant Transmission across a Potential Well V,E -Vo Consider the potential well of denth V and wvidth w as shown in the figure above
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![4. Resonant Transmission across a Potential Well
V, E
3.
:-V,
Consider the potential well of depth V, and width w, as shown in the figure above. An
electron with energy ɛ > 0 is incident from the left.
(a) Determine the condition involving the incident energy (E) and the depth (V,) and width
(w) of the well for resonant transmission in which there is no reflected wave associated
with the electron.
(b) If 4(x) = Ae]kx is the incident electron wave for x < 0, what are the wave functions
inside (0 < x <w) and outside (x > w) the well, under resonant conditions?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff5aaffb2-b882-4327-aad3-8e1616b8df6b%2F3f825fe0-f26f-481a-85ed-f473d8347e59%2Fjsest18_processed.png&w=3840&q=75)
Transcribed Image Text:4. Resonant Transmission across a Potential Well
V, E
3.
:-V,
Consider the potential well of depth V, and width w, as shown in the figure above. An
electron with energy ɛ > 0 is incident from the left.
(a) Determine the condition involving the incident energy (E) and the depth (V,) and width
(w) of the well for resonant transmission in which there is no reflected wave associated
with the electron.
(b) If 4(x) = Ae]kx is the incident electron wave for x < 0, what are the wave functions
inside (0 < x <w) and outside (x > w) the well, under resonant conditions?
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