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A system consists of two particles, each of which has a spin of 3/2. a) Assuming...

A system consists of two particles, each of which has a spin of 3/2. a) Assuming the particles to be distinguishable, what are the macrostates of the z component of the total spin, and what is the multiplicity of each? b) What are the possible values of the total spin S and what is the multiplicity of each value? Verify that the total multiplicity matches that of part (a). c) Now suppose the particles behave like indistinguishable quantum particles. What is the multiplicity of each of the macrostates of the z component of the total spin? d) Show that for these quantum paricles it is possible to have only combinations with total spin S=3 or 1.

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