H. W Solve the time-independent Schrödinger equation for an infinite square well with a delta-function barrier at the center: Jas(x). for (-a < x < +a), for (x| 2 a). V(x) = Further Problems for Chapter 2 69 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? Comment on the limiting cases a - 0 and a - o.
H. W Solve the time-independent Schrödinger equation for an infinite square well with a delta-function barrier at the center: Jas(x). for (-a < x < +a), for (x| 2 a). V(x) = Further Problems for Chapter 2 69 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? Comment on the limiting cases a - 0 and a - o.
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Transcribed Image Text:H. W Solve the time-independent Schrödinger equation for an infinite
square well with a delta-function barrier at the center:
| a8(x). for (-a <x < +a),
0o,
V(x) =
for (Ix| 2 a).
Further Problems for Chapter 2
69
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? Comment on the limiting
cases a - 0 and a → 0o.
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