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Wave Mechanics in One Dimension — John S. Townsend
Physics — Quantum Mechanics · spin-correlation-matrix-element
Problem Show that
⟨ 0 , 0 ∣ S ^ 1 a S ^ 2 b ∣ 0 , 0 ⟩ = − ℏ 2 4 cos θ a b \langle 0, 0|\hat{S}_{1a}\hat{S}_{2b}|0, 0\rangle = -\frac{\hbar^2}{4}\cos\theta_{ab} ⟨ 0 , 0∣ S ^ 1 a S ^ 2 b ∣0 , 0 ⟩ = − 4 ℏ 2 cos θ ab θ a b \theta_{ab} θ ab a \mathbf{a} a b \mathbf{b} b E ( a , b ) = 4 ℏ 2 ⟨ 0 , 0 ∣ S ^ 1 a S ^ 2 b ∣ 0 , 0 ⟩ E(\mathbf{a}, \mathbf{b}) = \frac{4}{\hbar^2}\langle 0, 0|\hat{S}_{1a}\hat{S}_{2b}|0, 0\rangle E ( a , b ) = ℏ 2 4 ⟨ 0 , 0∣ S ^ 1 a S ^ 2 b ∣0 , 0 ⟩ E ( a , b ) E(\mathbf{a}, \mathbf{b}) E ( a , b ) Browse the problem library