Conjugation properties of double tensor operators and selection rules for their matrix elements

J.A. Tuszyński

Physica A: Statistical Mechanics and its Applications, 1985, vol. 131, issue 1, 289-299

Abstract: The application of parity, time, charge, hermitian and quasi-spin conjugations to the set of irreducible tensor operators separates two classes of tensor operators: polar and axial. Various product tensor operators, in particular one- and two-body double tensor operators, are subsequently examined as to their conjugation properties. As a result, new selection rules are found for their matrix elements which emphasize the need for a more precise labelling of tensorial ranks in order to account for the polar content and enable configuration mixing effects. The derived results are of particular importance to the form of phenomenological and equivalent Hamiltonians of atomic and molecular physics which are often presented as series of double tensor operators.

Date: 1985
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:131:y:1985:i:1:p:289-299

DOI: 10.1016/0378-4371(85)90093-7

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