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Equation 38 · Part 1 · Every Crystal Has Its Own Speed of Light

Symbol gamma

γ\gamma
γ\gamma

What this part means

gamma is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

gamma is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

…computes rather than sets aside. A quasiparticle wavepacket moving at speed v inside the linear window carries an internal clock — a spinor phase, a zitterbewegung oscillation — that runs slow by the familiar factor γ\gamma = (1 - v2v^2/ceff2c_{\mathrm{eff}}^2)^{-1/2} : 1.15 at v = 0.5\,ceffc_{\mathrm{eff}} , 2.29 at 0.9\,ceffc_{\mathrm{eff}} . That dilation is real and, in principle, measurable, but only inside a window whose edge the band’s own curvature sets. Writing the correction as a term proportional to…

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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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