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Author Toya, Tomiyuki
Sponsorship USDOE
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword PHYSICS AND MATHEMATICS ♦ DISPERSION RELATIONS ♦ ELECTRONS ♦ ELEMENTARY PARTICLES ♦ FIELD THEORY ♦ INTERACTIONS ♦ MATRICES ♦ METALS ♦ OSCILLATIONS ♦ PHONONS ♦ PINES-BOHM THEORY ♦ PLASMA ♦ SOUND ♦ VECTORS ♦ VIBRATIONS
Abstract Bearden and Pines investigated the role of electronelectron interactions in metals by extending the BohmPines collective description method. It was concluded that exchange and correlation effects on the dispersion relation m(q) and on the effective matrix element V/sub p/(q) for electron-phonon interaction is negligible for the small wave number vector q of a phonon. Further investigation leads to the conclusion that omega (q) and V/sub p/(q) must include the exchange and correlation terms even for small q. (A.C.) l6371 Results obtained by applying the A-S theory to elastic scattering of 156-Mev deuterons by carbon are reported. The effect of simultaneous scattering is shown and compared with results previously reported by Stapp. (A.C.) l6372 A study was made to determine whether the framework of a Hilbert space is compatible with the quantum theory of fields. An inquiry is made as to the characteristic features of field theory and how these features can be described in this framework. For this purpose the character of additive field theories, which are used in ace of field operators, and the relation between a system extending over the whole space and one restricted within a finite volume are examined. After these considerations the conclusion wss made that there is sufficient reason to treat the quantum theory of fields within the framework of a Hilbert space. (A.C.)
ISSN 0033068X
Educational Use Research
Learning Resource Type Article
Publisher Date 1958-12-01
Journal Progress of Theoretical Physics
Volume Number 20
Issue Number 6
Organization Hokkaido Univ., Sapporo


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