O(3) shift operators: The general analysis
- 1 October 1978
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 19 (10) , 2068-2078
- https://doi.org/10.1063/1.523587
Abstract
O(3) shift operators are constructed in terms of tensor operators T (j,μ) and the O(3) generators. These are of type Bkl, k=−j,...,j, where Bkl 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.Keywords
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