Equation 131 · Part 7 · The Entry a Relabeling Cannot Write

Symbol omega_0

H_c(t) = H_f + i\hbar\Big(i\frac{\omega_r}{2}\sigma_z\Big) = \frac{\hbar(\omega_0 - \omega_r)}{2}\sigma_z,

\omega_0

What this part means

omeg $a_0$ occurs above the fraction bar. The numerator is divided by the entire denominator below it.

Its job in the formula

omeg $a_0$ occurs above the fraction bar. The numerator is divided by the entire denominator below it.

Full expressionSymbol omega_0Article meaning

The passage around this formula

…field in 1937 [ 14 ] . Two checks confirm the recovery is exact rather than incidental: at $\omega_r$ = 0 , the non-rotating case, $\Delta_{\rm frame}$ $\equiv$ 0 and $H_c$ = $H_f$ , the already-verified baseline; at $\omega_r$ = $\omega_0$ , exact corotation, $H_c$ = 0 and the spin’s energy in this frame vanishes identically, which is the ordinary resonance condition, not a puzzle, because $\Delta_{\rm frame}$ = - $\hbar$ $\omega_0$ $\langle$ $\sigma_z$ $\rangle$ /2 exactly cancels the lab-frame value for a state that starts, and stays, aligned…

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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 surrounding passage

[14] Space Quantization in a Gyrating Magnetic Field ↗

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