Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-07T15:22:21.776Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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