Published equation contexts

$\hbar/(m_ec)$

Why this formula appears here

set purely by the rest mass. For an electron this is $\omega_Z$ $\approx$ 1.55 $\times$ 10^{21}\ $\mathrm{rad\,s^{-1}}$ , an oscillation period of roughly four zeptoseconds in the particle’s own rest frame — a boosted lab observer would clock a longer, time-dilated period by the ordinary factor $\gamma$ , coordinate time and proper time parting ways in exactly the usual manner — with an amplitude of order the reduced Compton wavelength $\hbar$ /( $m_e$ c) , the same length scale, twice $\rho_M$ for a spin-half particle, that bounded the Møller disk above. Schrödinger first noticed this trembling motion, zitterbewegung, in the Dirac coordinate’s equations of motion; Foldy and Wouthuysen’s 1950 canonical…

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m_e

Symbol m_e

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

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c

Symbol c

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

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Research cited beside this formula

[3] On the Dirac Theory of Spin 1/2 Particles and Its Non-Relativistic Limit ↗

Published contexts (1)

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\hbar/(m_ec)

Equation 73 · Evolutionary Physics

The Atlas That Refuses to Close

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

set purely by the rest mass. For an electron this is $\omega_Z$ $\approx$ 1.55 $\times$ 10^{21}\ $\mathrm{rad\,s^{-1}}$ , an oscillation period of roughly four zeptoseconds in the particle’s own rest frame — a boosted lab observer would clock a longer, time-dilated period by the ordinary factor $\gamma$ , coordinate time and proper time parting ways in exactly the usual manner — with an amplitude of order the reduced Compton wavelength $\hbar$ /( $m_e$ c) , the same length scale, twice $\rho_M$ for a spin-half particle, that bounded the Møller disk above. Schrödinger first noticed this trembling motion, zitterbewegung, in the Dirac coordinate’s equations of motion; Foldy and Wouthuysen’s 1950 canonical…

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ℏ/(mec)\hbar/(m_ec)ℏ/(me​c)