*Problem 2.34 Construct the S-matrix for scattering from a delta-function well (Equation 2.96). Use it to obtain the bound state energy, and check your answer against Equation 2.111.

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Evidently the delta-function well, regardless of its "strength" a, has exactly one bound
state:
ma²
y(x) =
ma
ħ
-e-ma\x\/h²;
E =
[2.111]
2ħ²
Transcribed Image Text:Evidently the delta-function well, regardless of its "strength" a, has exactly one bound state: ma² y(x) = ma ħ -e-ma\x\/h²; E = [2.111] 2ħ²
*Problem 2.34 Construct the S-matrix for scattering from a delta-function well
(Equation 2.96). Use it to obtain the bound state energy, and check your answer
against Equation 2.111.
Transcribed Image Text:*Problem 2.34 Construct the S-matrix for scattering from a delta-function well (Equation 2.96). Use it to obtain the bound state energy, and check your answer against Equation 2.111.
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