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Journal of Physics B Atomic and Molecular Physics

A unitary perturbation method for a paramagnetic atom in a magnetic field with constant and oscillatory components

F Ansbacher

Published Jun 1, 1974• 0 citations
Publisher
DOI
10.1088/0022-3700/7/8/520

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Journal of Physics B Atomic and Molecular Physics•Aug 1, 1973•3 citations
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).
By rotating two-component fermionic atom gases in uniform magnetic field, a similar physical situation with de Haas-van Alphen effect is constructed. We calculate magnetic moment of the system and find that owing to an existence of effective magnetic field coming from the rotation, the magnetic moment also shows the oscillatory behavior about magnetic field, but it is completely different from the famous oscillation of de Haas-van Alphen effect. This distinction is due to that in the atomic gases the orbital motion of atom only couples to rotation and does not contribute to magnetic moment in the light of atomic charge neutrality.