Hostname: page-component-68945f75b7-gkscv Total loading time: 0 Render date: 2024-08-05T18:44:59.164Z Has data issue: false hasContentIssue false

Double refraction phenomena in quantum field theory

Published online by Cambridge University Press:  24 October 2008

M. J. Stephen
Affiliation:
Mathematical InstituteOxford

Abstract

It is shown that the phenomena of double refraction—optical activity, Faraday rotation, Kerr effect, etc.—may be treated as scattering problems in quantum field theory. An expression for the scattering cross-section of an atom or molecule for photons may be easily obtained and from this expression using the idea of Stokes operators, equating their expectation values to the classical Stokes parameters, the usual quantum mechanical expressions for optical activity, etc. may be obtained. This approach does not require the ideas of refractive index or polarization of the medium, and emphasizes what are the actual observables in these experiments.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1958

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)Darwin, C. G.Trans. Camb. Phil. Soc. 23 (1924), 137.Google Scholar
(2)Born, M. and Jordan, P.Elementare Quantenmechanik (Berlin, 1930).Google Scholar
(3)Condon, E. U.Rev. Mod. Phys. 9 (1937), 434.CrossRefGoogle Scholar
(4)Heitler, W.Quantum theory of radiation (Oxford, 1954).Google Scholar
(5)Jauch, J. M. and Rohrlich, F.Electrons and photons (New York, 1955).Google Scholar
(6)Fano, U.J. Opt. Soc. Amer. 39 (1949), 859.Google Scholar
(7)Araki, G.Progr. Theor. Phys., Osaka, 1 (1946), 125.Google Scholar
(8)Condon, E. U. and Shortley, G. H.Theory of atomic spectra (Cambridge, 1953).Google Scholar
(9)Beth, R. A.Phys. Rev. 50 (1936), 115.CrossRefGoogle Scholar