4.8. The energy eigenfunctions V1, V2, V3, and 4 corresponding to the four lowest energy states for a particle confined in the finite potential well = {0 V(x) = -Vo |x| a/2 are sketched in Fig. 4.4. For which of these energy eigenfunctions would the probability of finding the particle outside the well, that is, in the region [x] > a/2, be greatest? Explain. Justify your reasoning using the solution to the Schrödinger equation in the region x > a/2.
4.8. The energy eigenfunctions V1, V2, V3, and 4 corresponding to the four lowest energy states for a particle confined in the finite potential well = {0 V(x) = -Vo |x| a/2 are sketched in Fig. 4.4. For which of these energy eigenfunctions would the probability of finding the particle outside the well, that is, in the region [x] > a/2, be greatest? Explain. Justify your reasoning using the solution to the Schrödinger equation in the region x > a/2.
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![4.8. The energy eigenfunctions V1, V2, V3, and 4
corresponding to the four lowest energy states for a
particle confined in the finite potential well
= {0
V(x) =
-Vo
|x| <a/2
|x|> a/2
are sketched in Fig. 4.4. For which of these energy
eigenfunctions would the probability of finding the
particle outside the well, that is, in the region [x] > a/2,
be greatest? Explain. Justify your reasoning using the
solution to the Schrödinger equation in the region
x > a/2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdaad9e7e-1f14-44d5-98ac-51623b651f9b%2F48fba535-1108-42eb-b52a-d77ecaa7e795%2Ft9nbcsl_processed.png&w=3840&q=75)
Transcribed Image Text:4.8. The energy eigenfunctions V1, V2, V3, and 4
corresponding to the four lowest energy states for a
particle confined in the finite potential well
= {0
V(x) =
-Vo
|x| <a/2
|x|> a/2
are sketched in Fig. 4.4. For which of these energy
eigenfunctions would the probability of finding the
particle outside the well, that is, in the region [x] > a/2,
be greatest? Explain. Justify your reasoning using the
solution to the Schrödinger equation in the region
x > a/2.
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