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The hyperpolarisability tensor gamma nJM for an atomic level with non-zero angular momentum is presented in terms of irreducible parts. General formulae for the irreducible parts are derived. Their properties in constant and time-dependent monochromatic fields with linear and circular polarisation are examined. Some peculiarities of gamma nJM for atoms in Rydberg states are discussed.
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Davydkin et al. (1986) studied this question.
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