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  3. 1) suppose you have particle on a ring with the wa

1) Suppose you have particle on a ring with the wavefunction1: ?_m(?) = 1/(sqrt(2pi)) * e^(im(?)) (m =...

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Physics

1) Suppose you have particle on a ring with thewavefunction1:

?_m(?) = 1/(sqrt(2pi)) * e^(im(?))

(m = 0, ±1, ±2, …)

a. Do you know anything about where the particle is on the ring?Does

m matter in this determination?

b. Do you know the angular momentum exactly?

2) Suppose the same particle were described with thewavefunction2:

?_m (?) = 1/(sqrt(2pi)) * cos (m?)

(m = 0, ±1, ±2, …)

c. Now do you know anything about where the particle is on thering?

Does m matter in this?

d. Do you know the angular momentum exactly?

e. Re-write your wavefunction2 in terms of exponential functionsand

use this to explain your answer to d.

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