*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.
*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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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F88ddc321-1e21-4ca2-b0d1-5d162af09f9f%2Ffad66145-0ec1-4e07-be51-58b3fa4f415e%2Fbpceff_processed.png&w=3840&q=75)
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F88ddc321-1e21-4ca2-b0d1-5d162af09f9f%2Ffad66145-0ec1-4e07-be51-58b3fa4f415e%2Fnmvb9g_processed.png&w=3840&q=75)
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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