Prove the relation Θ ^ 2 = − 1 for spin half particles.

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Chapter 6, Problem 6.37P

(a)

To determine

Prove the relation Θ^2=−1 for spin half particles.

(b)

To determine

Prove that when |ψ′n〉 and |ψn〉 denote the same state, energy level must be at least two-fold degenerate.

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