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.
