Assume that for a particle on a ring the operator for the angular momentum , p φ ^ , is − i ℏ ( δ / δ ϕ ) . What is the eigenvalue for momentum for a particle having (unnormalized) Ψ equal to e 3 i ϕ ? The integration limits are 0 to 2 π . What is the average value of the momentum, 〈 p φ 〉 for a particle having this wavefunction? How are these results justified?
Assume that for a particle on a ring the operator for the angular momentum , p φ ^ , is − i ℏ ( δ / δ ϕ ) . What is the eigenvalue for momentum for a particle having (unnormalized) Ψ equal to e 3 i ϕ ? The integration limits are 0 to 2 π . What is the average value of the momentum, 〈 p φ 〉 for a particle having this wavefunction? How are these results justified?
Solution Summary: The author explains that the eigenvalue for momentum for a particle having given wavefunction is to be stated.
Assume that for a particle on a ring the operator for the angular momentum,
p
φ
^
, is
−
i
ℏ
(
δ
/
δ
ϕ
)
. What is the eigenvalue for momentum for a particle having (unnormalized)
Ψ
equal to
e
3
i
ϕ
? The integration limits are
0
to
2
π
. What is the average value of the momentum,
〈
p
φ
〉
for a particle having this wavefunction? How are these results justified?
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