Transformation relations for the conventional Okqand normalised O'kqStevens operator equivalents with k=1 to 6 and -k⩽q⩽k

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Abstract
Extensions of the conventional Stevens operators Okq to negative values of q and their transformation properties are reviewed and reconsidered. Transformation matrices with k=1 to 6 and -klm. As a special case a transformation which is particularly useful in EPR studies is considered. In the interest of transcription accuracy, the computer-derived transformation relations are reproduced from camera-ready computer output. The present results for k=3 and 5, all q, and k=6, q=1 and 5, are new. A number of inconsistencies in the earlier papers are pointed out for k=2, 4 and 6. The concept of 'normalised' Stevens operators O'kq is extended to k=3 and 5 where numerical coefficients relating both sets of operators are given. The transformation matrices for the normalised Stevens operators can be read in a straightforward way from the expressions for the conventional operators. The conclusion is that both the conventional and normalised Stevens operators do transform consistently contrary to some earlier opinions.

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