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The passage around this formula

A single exactly solvable case makes the ledger’s behavior concrete, and it is worth being explicit that what follows is an analytic evaluation of a stated model, not a simulation and not a measurement. Let S and B each be a two-level system — a spin, in the sense this literature uses the word for any two-state quantum degree of freedom — with bare Hamiltonians $H_S$ = ($\hbar$$\omega$/2)$\sigma_z^S$ and $H_B$ = ($\hbar$$\omega$/2)$\sigma_z^B$ tuned to the same frequency $\omega$ , coupled by an excitation-conserving exchange term,

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