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Larmor formula : ウィキペディア英語版
Larmor formula

The Larmor formula is used to calculate the total power radiated by a non relativistic point charge as it accelerates or decelerates. This is used in the branch of physics known as electrodynamics and is not to be confused with the Larmor precession from classical nuclear magnetic resonance. It was first derived by J. J. Larmor in 1897,〔("LXII.On the Theory of the magnetic influence on spectra; and on radiation from moving ions.",Philosophical Magazine Series 5, Volume 44, Issue 271,505-512,doi:10.1080/14786449708621095 Formula is mentioned in the text on the last page. )〕 in the context of the wave theory of light.
When any charged particle (such as an electron, a proton, or an ion) accelerates, it radiates away energy in the form of electromagnetic waves. For velocities that are small relative to the speed of light, the total power radiated is given by the Larmor formula:
: P = \frac= \frac \mbox
: P = \frac \mbox
where a is the acceleration, q is the charge, and c is the speed of light. A relativistic generalization is given by the Liénard–Wiechert potentials.
In either unit system, the power radiated by a single electron can be expressed in terms of the classical electron radius and electron mass as:
: P = \frac
== Derivation ==


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