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Published equation contexts

HS=(ℏω/2)σzSH_S = (\hbar\omega/2)\sigma_z^S

Why this formula appears here

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 HSH_S = (ℏ\hbarω\omega/2)σzS\sigma_z^S and HBH_B = (ℏ\hbarω\omega/2)σzB\sigma_z^B tuned to the same frequency ω\omega , coupled by an excitation-conserving exchange term,

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σzS\sigma_z^S

Symbol sigma_z^S

sigmazSa_z^S is an input to the expression that computes the quantity on the left.

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Published contexts (1)

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HS=(ℏω/2)σzSH_S = (\hbar\omega/2)\sigma_z^S

Equation 76 · Evolutionary Physics

The Entry a Relabeling Cannot Write

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

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 HSH_S = (ℏ\hbarω\omega/2)σzS\sigma_z^S and HBH_B = (ℏ\hbarω\omega/2)σzB\sigma_z^B tuned to the same frequency ω\omega , coupled by an excitation-conserving exchange term,

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