Explain why the following are suitable general forms for the energy of a particle initially confined in the well with energy. eigenfunctions E = -3V/2: √(x) = 0 for x <-L Aeika +Be-ika for Cea1 + De 1 for Fe-922 for - L L, where A, B, C, D and F are complex constants and k, a₁ and a2 are real-valued coefficients appropriate for the different regions.

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Chapter1: Units, Trigonometry. And Vectors
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Explain why the following are suitable general forms for the energy
eigenfunctions of a particle initially confined in the well with energy
E = -3V/2:
(x) =
=
0
for x < -L
Aeika +Be-ika
for
Cea1 + De 12 for
Fe-922
L<x<0
0≤x≤L
for x > L,
where A, B, C, D and F are complex constants and k, a₁ and a2 are
real-valued coefficients appropriate for the different regions.
Transcribed Image Text:Explain why the following are suitable general forms for the energy eigenfunctions of a particle initially confined in the well with energy E = -3V/2: (x) = = 0 for x < -L Aeika +Be-ika for Cea1 + De 12 for Fe-922 L<x<0 0≤x≤L for x > L, where A, B, C, D and F are complex constants and k, a₁ and a2 are real-valued coefficients appropriate for the different regions.
A well has the form:
V(x) =
V
V-2Vo
=
V = -Vo
V = 0
for x < -L
for - L<x<0
for
0 ≤ x ≤L
for
x > L,
Transcribed Image Text:A well has the form: V(x) = V V-2Vo = V = -Vo V = 0 for x < -L for - L<x<0 for 0 ≤ x ≤L for x > L,
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