Question 2 Are the momentum eigenfunctions from the previous problem also eigenfunctions of kinetic energy? If yes, what are the eigenvalues? Yes, they are eigenfunctions. The eigenvalues are ħ²k² Yes, they are eigenfunctions. The eigenvalues are ħ²k² 2m ħk Yes, they are eigenfunctions. The eigenvalues are 2m No, they are not eigenfunctions.
Question 2 Are the momentum eigenfunctions from the previous problem also eigenfunctions of kinetic energy? If yes, what are the eigenvalues? Yes, they are eigenfunctions. The eigenvalues are ħ²k² Yes, they are eigenfunctions. The eigenvalues are ħ²k² 2m ħk Yes, they are eigenfunctions. The eigenvalues are 2m No, they are not eigenfunctions.
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Transcribed Image Text:Question 2
Are the momentum eigenfunctions from the previous problem also eigenfunctions of
kinetic energy? If yes, what are the eigenvalues?
Yes, they are eigenfunctions. The eigenvalues are ħ²k²
Yes, they are eigenfunctions. The eigenvalues are
ħ²k²
2m
ħk
Yes, they are eigenfunctions. The eigenvalues are
2m
No, they are not eigenfunctions.
Transcribed Image Text:Question 1
Prove that any function of the form
f(x) = Ceikr
(where C and k are constants) is an eigenfunction of the x component of linear
momentum (P). What are the eigenvalues?
Eigenvalues are -ħk
Eigenvalues are k
Eigenvalues are ħk
Eigenvalues are ħ
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