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Author Beltrametti, E. G. ♦ Luzzatto, G.
Sponsorship USDOE
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword PHYSICS ♦ ANGULAR MOMENTUM ♦ CONFIGURATION ♦ ELEMENTARY PARTICLES ♦ GROUP THEORY ♦ MATRICES ♦ MOMENTUM ♦ ROTATION ♦ SPHERES
Abstract An attempt is made to extend to complex values of the angular momentum the idea of a representation of the rotation group R/sub 3/. Using the homeomorphism between the unitary unimodular group U/sub 2/ and R/sub 3/, a set of infinite matrices is built, each one singular at one pole of the sphere; they give back the usual rotation matrices for integer or half-integer values of the angular momentum. The product rules of these matrices are discussed, and the resulting structure is analyzed: it retains some but not all the properties of a group representation. (auth)
ISSN 00296341
Educational Use Research
Learning Resource Type Article
Publisher Date 1963-09-01
Publisher Department Universita, Genoa ♦ Istituto Nazionale di Nucleare, Genoa
Journal Nuovo Cimento
Volume Number 10
Issue Number 29
Organization Universita, Genoa ♦ Istituto Nazionale di Nucleare, Genoa


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