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Equation 134 · Part 2 · The Entry a Relabeling Cannot Write

Symbol H_f

Hc=HfH_c = H_f
HfH_f

What this part means

HfH_f is an input to the expression that computes the quantity on the left.

Its job in the formula

HfH_f is an input to the expression that computes the quantity on the left.

The passage around this formula

…used to analyze spin behavior in a gyrating magnetic field in 1937 [ 14 ] . Two checks confirm the recovery is exact rather than incidental: at ωr\omega_r = 0 , the non-rotating case, Δframe\Delta_{\rm frame} ≡\equiv 0 and HcH_c = HfH_f , the already-verified baseline; at ωr\omega_r = ω0\omega_0 , exact corotation, HcH_c = 0 and the spin’s energy in this frame vanishes identically, which is the ordinary resonance condition, not a puzzle, because Δframe\Delta_{\rm frame} = -ℏ\hbarω0\omega_0⟨\langleσz\sigma_z⟩\rangle/2 exactly cancels the…

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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 surrounding passage

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