Consider a quantum state V = 1/2-1 + √/2₂₁ + 1/24/2 that is a superposition of three eigenstates of operator with eigenvalues w_₁ = -1, W1 = 1, and w2 = 2 (same as subscripts k in above). The expectation value of is w/1 √ 1 √3+2√2-1 √6
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