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![Question 4
4.1 Consider the free motion of a particle of mass M constrained to a circle of radius r. Find the
energy eigenvalues and eigenfunctions.
4.2 Consider two coupling spin particles, with 1₁ = 1 and ₂ = 0 angular momenta. Let IJM >
be the coupled kets.
(i)
What are the possible values of J and M?
(ii)
Expand the coupled kets |2 0>, 11-1> and |2 - 1 > in terms of the uncoupled
kets j₁j₂m₁m₂ >.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0eefe4ae-189e-40e6-80d8-7922abba3e32%2Fe4e902b8-a413-48e4-aa8d-468fdc44c3eb%2Fwazbyz_processed.jpeg&w=3840&q=75)
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