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The method is based on replacing the actual field B by an 'integrable' field, i.e. one for which the Schrodinger equation can be integrated. A simple criterion allows the best choice of field to be made for a given degree of approximation. Two examples are discussed: (1) the classic case of a small oscillating field transverse to a large steady field to an approximation beyond the rotating wave approximation, which reproduces, with certain modifications, the results of Bloch and Siegert valid for any j; (2) the field configuration of Pegg and Series (1970).
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F Ansbacher (1973) studied this question.
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