DOI: 10.1098/rspa.1952.0212. Interaction of electrons with lattice vibrations

Interaction of electrons with lattice vibrations

10.1098/rspa.1952.0212

Crossref journal-article

The Royal Society

Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences (175)

Abstract

Using methods of modern field theories a canonical transformation of the Hamiltonian of free electrons in the field of the lattice vibrations is performed. This transformation takes account of the bulk of the interaction of the electrons with the vibrational field and leads to a renormalization of the velocity of sound and of the interaction parameterF. An objection of Wentzel’s against the use of largeFis removed in this way. Even in the case of weak interaction the transformed Hamiltonian contains already in zero order terms which require a modification of the usual procedure in the theory of metals, and which at low temperatures lead to an increase of the effective mass of the electrons. Treatment of strong interaction requires the development of a new method.

Bibliography

Interaction of electrons with lattice vibrations. (1952). Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 215(1122), 291â298.

Authors 0

None

References 4 Referenced 409

10.1103/PhysRev.80.567
Bhatia A. B. 1952 Proc. Phys.
10.1007/BF01339455
Buckingham M. J. 1951 Soc. A 65 188. (10.1016/S0021-9258(18)56146-9)

Dates

Type	When
Created	18 years, 8 months ago (Dec. 18, 2006, 5:53 p.m.)
Deposited	2 years, 3 months ago (May 10, 2023, 12:27 a.m.)
Indexed	3 days, 23 hours ago (Aug. 23, 2025, 9:34 p.m.)
Issued	72 years, 8 months ago (Dec. 5, 1952)
Published	72 years, 8 months ago (Dec. 5, 1952)
Published Online	28 years, 7 months ago (Jan. 1, 1997)
Published Print	72 years, 8 months ago (Dec. 5, 1952)

Funders 0

None

BibTeX

@article{1952, volume={215}, ISSN={2053-9169}, url={http://dx.doi.org/10.1098/rspa.1952.0212}, DOI={10.1098/rspa.1952.0212}, number={1122}, journal={Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences}, publisher={The Royal Society}, year={1952}, month=dec, pages={291–298} }

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