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The influence of radiation damping on the scattering of light and mesons by free particles. I

Published online by Cambridge University Press:  24 October 2008

W. Heitler
W. Heitler
Affiliation:
The Institute for Advanced StudiesDublin
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Extract

1. In the classical theory there is no difficulty in treating the effect of radiation damping on the scattering of light by a free electron in so far as it is a result of the conservation of energy. In the non-relativistic approximation the equation of motion of a free electron under the influence of a light wave is

with the periodic solution

The total energy radiated per second is then

and the total cross-section(1) is

Formula (1) differs from the Thomson formula by the factor 1/(1 +κ2). This factor becomes appreciable for energies ħν ≥ 137mc2.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 37 , Issue 3 , July 1941 , pp. 291 - 300
Copyright
Copyright © Cambridge Philosophical Society 1941

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References

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