Please solve all the questions in the photo.

Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter7: Tunneling Phenomena
Section: Chapter Questions
Problem 2P
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Please solve all the questions in the photo.

 

Solve the time-independent Schrödinger equation for a centered
infinite square well with a delta-function barrier in the middle:
a8(x), for – a < x < +a,
for |x| > a.
-
V (x)
0o.
Treat the even and odd wave functions separately. Don't bother to normalize them.
Find the allowed energies (graphically, if necessary). How do they compare with
the corresponding energies in the absence of the delta function? Explain why the
odd solutions are not affected by the delta function. Comment on the limiting cases
0 and a
α
Transcribed Image Text:Solve the time-independent Schrödinger equation for a centered infinite square well with a delta-function barrier in the middle: a8(x), for – a < x < +a, for |x| > a. - V (x) 0o. Treat the even and odd wave functions separately. Don't bother to normalize them. Find the allowed energies (graphically, if necessary). How do they compare with the corresponding energies in the absence of the delta function? Explain why the odd solutions are not affected by the delta function. Comment on the limiting cases 0 and a α
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