Everything you always wanted to know about SU(3) is contained in 0(3)

Journal Article · Sat Nov 01 04:00:00 EST 1975 · Ann. Phys. (N.Y.), v. 95, no. 1, pp. 139-169

DOI:https://doi.org/10.1016/0003-4916(75)90048-2· OSTI ID:4015926

Moshinsky, M; Patera, J; Sharp, R T; Winternitz, P

From a uniform viewpoint one discusses three old bases for representations of SU(3) reduced according to 0(3), the Bargmann-Moshinsky, Elliott and stretched bases, together with one new one, the antistretched basis. Expansions are obtained for the various bases in terms of each other and in terms of the Gel'fand basis of the SU(3) is contained in SU(2) x U(1) scheme. Overlaps are given between states of the same or different bases. Orthogonal bases defined by diagonalization of a suitable Hermitian operator are discussed and related to the analytic bases. (auth)

• Research Organization: Univ. of Montreal
• Sponsoring Organization: USDOE
• NSA Number: NSA-33-031576
• OSTI ID: 4015926
• Journal Information: Ann. Phys. (N.Y.), v. 95, no. 1, pp. 139-169, Journal Name: Ann. Phys. (N.Y.), v. 95, no. 1, pp. 139-169; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

*NUCLEI-- ENERGY LEVELS
*O GROUPS
*PIONS-- MULTIPLE PRODUCTION
*SU-3 GROUPS
641203*
ANALYTIC FUNCTIONS
HERMITIAN OPERATORS
ISOSPIN
N64310 --Physics (High Energy)--Particle Invariance Principles & Symmetry--General
N64330* --Physics (High Energy)--Particle Invariance Principles & Symmetry--Applications (Strong)
N69210 --Physics (Nuclear)--Nuclear Theory--Nuclear Structure
SERIES EXPANSION
SHELL MODELS
U-1 GROUPS