Scalar Product for Harmonic Functions of the Group SU(2)

Scalar Product for Harmonic Functions of the Group SU(2)

A scalar product is defined which results in the single‐ and double‐valued spherical harmonics spanning a seminormed linear vector space that carries all of the irreducible unitary representations of the group SU(2). The possibility of defining such a scalar product was indicated in a previous paper...

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Veröffentlicht in:J. Math. Phys. (N. Y.), 9: 1401-3(Sept. 1968) 9: 1401-3(Sept. 1968), 1968-01, Vol.9 (9), p.1401-1403
Hauptverfasser: Pandres, Dave, Jacobson, Donald A.
Format: Artikel
Sprache:eng
Schlagworte:
BANACH SPACE
ELEMENTARY PARTICLES
GROUP THEORY
HILBERT SPACE
IRREDUCIBLE REPRESENTATIONS
N34310 -Physics (High Energy)-Particle Invariance Principles & Symmetry-General
SU GROUP
SU-2 GROUP
SYMMETRY GROUPS/SU, scalar product of harmonic functions of
VECTORS
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Beschreibung
Zusammenfassung:A scalar product is defined which results in the single‐ and double‐valued spherical harmonics spanning a seminormed linear vector space that carries all of the irreducible unitary representations of the group SU(2). The possibility of defining such a scalar product was indicated in a previous paper. A Hilbert space is derived from the seminormed space through a further construction involving equivalence classes of vectors.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.1664728