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

1) Suppose you have particle on a ring with the wavefunction1:

?_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 the wavefunction2:

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

(m = 0, ±1, ±2, …)

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

Does m matter in this?

d. Do you know the angular momentum exactly?

e. Re-write your wavefunction2 in terms of exponential functions and

use this to explain your answer to d.

Solutions

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genius_generous answered 1 year ago

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