O(3) shift operators: The general analysis

O(3) shift operators: The general analysis

O(3) shift operators are constructed in terms of tensor operators T (j,μ) and the O(3) generators. These are of type B k l , k=−j,...,j, where B k l raises l by k, l (l+1) being the eigenvalue of the O(3) Casimir operator. Various convenient normalizations of these operators are constructed, and the...

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Veröffentlicht in:Journal of mathematical physics 1978-10, Vol.19 (10), p.2068-2078
Hauptverfasser: Hughes, J. W. B., Yadegar, J.
Format: Artikel
Sprache:eng
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Zusammenfassung:O(3) shift operators are constructed in terms of tensor operators T (j,μ) and the O(3) generators. These are of type B k l , k=−j,...,j, where B k l raises l by k, l (l+1) being the eigenvalue of the O(3) Casimir operator. Various convenient normalizations of these operators are constructed, and their properties and uses considered.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.523587