Consider a particle in the infinite potential well at -a

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Consider a particle in the infinite potential well at -a <I < a.
The particle is in a superposition of the quantum eigenstates corresponding
to the first two energy levels E1 and E2:
-iEst/h
Cos
-iEst/h
(x) =
V2a
sin
(0.0.1)
2a
Calculate the expectation value of the coordinate (r(t)) for the state with
the wave function (0.0.1).
HINT: You may need the integral:
16
r cos(rx/2) sin(Tx)dx =
972
Transcribed Image Text:Consider a particle in the infinite potential well at -a <I < a. The particle is in a superposition of the quantum eigenstates corresponding to the first two energy levels E1 and E2: -iEst/h Cos -iEst/h (x) = V2a sin (0.0.1) 2a Calculate the expectation value of the coordinate (r(t)) for the state with the wave function (0.0.1). HINT: You may need the integral: 16 r cos(rx/2) sin(Tx)dx = 972
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