Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-27T11:28:37.929Z Has data issue: false hasContentIssue false
  • English
  • Français

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

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

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)Bardeen, J.Phys. Rev. (2), 52 (1937), 688.CrossRefGoogle Scholar
(2)Bardeen, J.Phys. Rev. (2), 79 (1950), 167.CrossRefGoogle Scholar
(3)Bardeen, J.Rev. mod. Phys. 23 (1951), 261.CrossRefGoogle Scholar
(4)Bloch, F. Z.Phys. 52 (1928), 555; 59 (1930), 208.Google Scholar
(5)Bohm, D. and Staver, T.Phys. Rev. (2), 84 (1952), 836.CrossRefGoogle Scholar
(6)Born, M.Nachr. Akad. Wiss. Göttingen (1951).Google Scholar
(7)Born, M. and Huang, K.Dynamical theory of crystal lattices (Oxford, 1954), p. 406.Google Scholar
(8)Born, M. and Oppenheimer, J. R.Ann. Phys., Lpz. (4), 84 (1927), 457.CrossRefGoogle Scholar
(9)Fröhlich, H.Phys. Rev. (2), 79 (1950), 845.CrossRefGoogle Scholar
(10)Pines, D.Report of 1954 Solway Conference (to be published).Google Scholar
(11)Seitz, F.Modern theory of solida (New York and London, 1940), p. 470.Google Scholar