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The electron-phonon interaction, according to the adiabatic approximation

Published online by Cambridge University Press:  24 October 2008

J. M. Ziman
J. M. Ziman
Affiliation:
Cavendish Laboratory Cambridge
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Abstract

The behaviour of the conduction electrons in a vibrating metallic lattice is treated by the Born-Oppenheimer method. Non-adiabatic processes, due to certain terms usually neglected, are shown to correspond to scattering of electrons by the lattice vibrations, as in Bloch's theory of electrical resistivity, but the matrix elements are not the same as Bloch's except when energy is conserved in the process. This may have important consequences in Fröhlich's theory of superconductivity.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 51 , Issue 4 , October 1955 , pp. 707 - 712
Copyright
Copyright © Cambridge Philosophical Society 1955

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References

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