Shift operator properties in the groups G2 and R(7)

In order to obtaining additional label-generating operators for the classification of octupolephonon states, a set of shift operators Pkl (k = ± 5,…, 5) in the G2 group and Okl (k = ± 3,…, 3) in the R(7) group, is constructed. Expressions connecting R(3) scalar and non-scalar products of both types of operators are derived. On account of these relations part of the eigenvalue spectrum of the scalar operators O0l and P0l is obtained in closed form.

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Year of publication:	1982
Authors:	Vanden Berghe, G. ; De Meyer, H.E. ; Van Der Jeugt, J.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 114.1982, 1, p. 282-284
Publisher:	Elsevier

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011060961