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The second-order effect of free electrons on lattice conduction

Published online by Cambridge University Press:  24 October 2008

I. C. Pyle
I. C. Pyle
Affiliation:
St John's CollegeCambridge
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Abstract

Second-order perturbation theory, in conjunction with the usual treatment of electron-phonon interaction, allows us to calculate the correction to the first-order result for the scattering of phonons by electrons. It is shown that the second-order term is much smaller, and therefore negligible. This justifies the use of the first-order theory in the treatment of the interaction in metals and semi-conductors.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 53 , Issue 2 , April 1957 , pp. 508 - 513
Copyright
Copyright © Cambridge Philosophical Society 1957

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References

REFERENCES

(1)Makinson, R. E. B.Proc. Camb. Phil. Soc. 34 (1938), 474.CrossRefGoogle Scholar
(2)Pelerls, R. E.Quantum theory of solids (Oxford, 1955), §6·3.Google Scholar
(3)Schiff, L. I.Quantum mechanics, 2nd ed. (New York, 1955), §29.Google Scholar
(4)Wilson, A. H.The theory of metals, 2nd ed. (Cambridge, 1953), §9·3.Google Scholar
(5)Ziman, J. M.Phil. Mag. (8) 1 (1956), 191.CrossRefGoogle Scholar