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Equation 137 · Part 1 · The Entry a Relabeling Cannot Write

Symbol Delta_rm frame

Δframe=−ℏω0⟨σz⟩/2\Delta_{\rm frame} = -\hbar\omega_0\langle\sigma_z\rangle/2
Δframe\Delta_{\rm frame}

What this part means

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

Its job in the formula

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

The passage around this formula

…the identical construction I. I. Rabi 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} =…

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