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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.

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.

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Question 4.1 Quantum mechanics
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 >.
Transcribed Image Text: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 >.
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