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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

REFERENCES

(1)Casimir, . Z. Phys. 81 (1933), 496.CrossRefGoogle Scholar
(2)Dirac, . Proc. Roy. Soc. A, 166 (1938), 501.Google Scholar
(3)Bhabha, . Nature, Lond., 145 (1940), 819.CrossRefGoogle Scholar
Bhabha, . Proc. Indian Acad. Sci. 11 (1940), 347.CrossRefGoogle Scholar
(4)Weisskopf, and Wigner, . Z. Phys. 63 (1930), 54.CrossRefGoogle Scholar
Weisskopf, . Ann. Phys., Lpz., 9 (1931), 23.CrossRefGoogle Scholar
(5)Góra, . Acta Phys. Polon. 7 (1938), 159 and (1939), 374.Google Scholar
(6)Heitler, . Quantum theory of radiation (Oxford, 1936).Google Scholar
(7)Heitler, . Proc. Roy. Soc. A, 166 (1938), 529.Google Scholar
(8)Bhabha, . Proc. Roy. Soc. A, 172 (1939), 384.Google Scholar
Booth, and Wilson, . Proc. Cambridge Phil Soc. 36 (1940), 446.CrossRefGoogle Scholar
(9)Heitler, . Nature, Lond., 145 (1940), 29.CrossRefGoogle Scholar
(10)Heitler, and Ma, . Proc. Roy. Soc. A, 176 (1940), 368.Google Scholar
Cf. also Bhabha, . Proc. Indian Acad. Sci. A, 145 (1941), 348.Google Scholar
(11)Ma, . Cambridge Thesis (1941).Google Scholar
(12)Kobyasi, and Okayama, . Proc. Phys-Math. Soc. Japan, 21 (1939), 1.Google Scholar
Belinfante, . Theory of heavy quanta. Leiden Thesis, 1939.CrossRefGoogle Scholar
(13)Stueckelberg, and Patry, . Helv. Phys. Acta, 13 (1940), 167.Google Scholar
(14)Waller, . Z. Phys. 88 (1934), 436.CrossRefGoogle Scholar