Unformatted text preview: starts oﬀ at t = 0 in an eigenstate of σ z with eigenvalue +1. Let the system evolve for time t . What is the probability for measuring the diﬀerent eigenvalues of σ z ? 3. Read the derivation of the Uncertainty Principle in Shankar, pages 237239. Take the speciﬁc case of Ω = σ z , Λ = σ x ,  ψ > = c 1  ↑ > + c 2  ↓ >, < ψ  ψ > = 1 . (1) Evaluate the Uncertainty Principle inequality for general (normalized) c 1 and c 2 . Do the same thing for Λ = W with W deﬁned above. Please note, we are asking that you compute both sides of (9.2.13) for this speciﬁc example and show that the inequality is satesﬁed....
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 Spring '09
 R
 Linear Algebra, Algebra, Uncertainty Principle, projection operator

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