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Equation 98 · Part 2 · The Atlas That Refuses to Close

Symbol sigma_z

⟨f∣σz∣ψ⟩=12(1+i)\langle f|\sigma_z|\psi\rangle = \tfrac12(1+i)
σz\sigma_z

What this part means

the so the weak value of.

Its job in the formula

sigmaza_z is part of the quantity the equation computes from the expression on the right.

Where the article explains it

Then ⟨\langle f|ψ\psi⟩\rangle = 12(1−i)\tfrac12(1-i) and ⟨\langle f|σz\sigma_z|ψ\psi⟩\rangle = 12(1+i)\tfrac12(1+i) , so the weak value of σz\sigma_z is

The passage around this formula

​ 1 ​ ( ∣ ↑ ⟩ + i ∣ ↓ ⟩) . Then ⟨\langle f|ψ\psi⟩\rangle = 12(1−i)\tfrac12(1-i) and ⟨\langle f|σz\sigma_z|ψ\psi⟩\rangle = 12(1+i)\tfrac12(1+i) , so the weak value of σz\sigma_z is

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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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Sources cited in the article section

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