Published equation contexts

$\hbar/m$

Why this formula appears here

This is an exact analytic evaluation of the formula derived above for stated, idealized parameters — not a simulation, not a measurement, and not the output of any code run for this article. It is offered as illustrative, and it carries a built-in consistency check: because $v_r$ = $\hbar$ $k_{\rm eff}$ /m by definition of a recoil kick, the same number equals $\hbar$ $k_{\rm eff}^2$ T/m , the ordinary recoil phase used to extract $\hbar$ /m in precision atom-interferometry measurements through the general path-integral formalism for atomic interferometry [ 14 ] . The two expressions are algebraically identical, so this is a check that the loop construction reproduces a quantity the field already measures by…

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m

Symbol m

m 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

[14] The Feynman Path Integral Approach to Atomic Interferometry: A Tutorial ↗

Published contexts (1)

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\hbar/m

Equation 94 · Evolutionary Physics

The Clock That Comes Back Wrong by Exactly Its Mass

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

This is an exact analytic evaluation of the formula derived above for stated, idealized parameters — not a simulation, not a measurement, and not the output of any code run for this article. It is offered as illustrative, and it carries a built-in consistency check: because $v_r$ = $\hbar$ $k_{\rm eff}$ /m by definition of a recoil kick, the same number equals $\hbar$ $k_{\rm eff}^2$ T/m , the ordinary recoil phase used to extract $\hbar$ /m in precision atom-interferometry measurements through the general path-integral formalism for atomic interferometry [ 14 ] . The two expressions are algebraically identical, so this is a check that the loop construction reproduces a quantity the field already measures by…

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ℏ/m\hbar/mℏ/m