|Author||Beltrametti, E. G. ♦ Luzzatto, G.|
|Source||United States Department of Energy Office of Scientific and Technical Information|
|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)|
|Learning Resource Type||Article|
|Publisher Department||Universita, Genoa ♦ Istituto Nazionale di Nucleare, Genoa|
|Organization||Universita, Genoa ♦ Istituto Nazionale di Nucleare, Genoa|
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