Consider a system of four nonidentical spin 1/2 particles. Find the possible values of the total...

Consider a system of four nonidentical spin 1/2 particles. Find the possible values of the total spin of this system and state explicitly the number of angular momentum eigenstates for each of the total spin values.

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Expert Solution

And Total number of eigenstates are:

= 2 * (number of states for s=0) + 3 * (number of states for s=1) + 1 * (number of states for s=2)

= 2 * 1 + 3 * 3 + 1 * 5

= 2 + 9 + 5

= 16

Note: If we take the basis as | s₁ = 1/2, s₂ = 1/2, s₃ = 1/2, s₄ = 1/2 >, then it is easy to see that the total number of states will be 2⁴ = 16.

So everything is consistent.

genius_generous answered 1 year ago

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