P13.12 Which of the following wave functions are eigenfunc- tions of the operator d²/dx²? If they are eigenfunctions, what is the eigenvalue? a. a (e-³x + e-³ix) b. sin c. e 2πχ a -2ix d. cos ax TT e. e e-ix²

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P13.12 Which of the following wave functions are eigenfunc-
tions of the operator d²/dx²? If they are eigenfunctions, what
is the eigenvalue?
a. a (e-³x + e-³ix)
b. sin
c. e
2πχ
a
-2ix
d. cos
ax
TT
e. e
e-ix²
Transcribed Image Text:P13.12 Which of the following wave functions are eigenfunc- tions of the operator d²/dx²? If they are eigenfunctions, what is the eigenvalue? a. a (e-³x + e-³ix) b. sin c. e 2πχ a -2ix d. cos ax TT e. e e-ix²
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