Abstract
Irreducible unitary representations of the group CM(3), the 'three-dimensional collective motion group', which is the semidirect product of a six-dimensional Abelian group T6 and SL(3,R), are constructed. A countable basis is identified in the carrier space of each representation. On each SL(3,R) orbit, elements of the Lie algebra cm(3) are represented as differential operators. The relationship of the Bohr model and the CM(3) model is discussed.
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