Formal exact solution for the Heisenberg spin system in a time-dependent magnetic field and Aharonov-Anandan phase

We study the time evolution of the Heisenberg spin system in a time-dependent magnetic field. By a unitary transformation we obtain the formal exact solutions of the Schrödinger equation for this system. Based on the formal exact solutions, the Aharonov-Anandan phases are worked out.

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Bibliographic Details
Published in:Physics letters. A 1999-02, Vol.251 (5), p.289-293
Main Authors: Yan, Fengli, Yang, Linguang, Li, Bozang
Format: Article
Language:English
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Summary:We study the time evolution of the Heisenberg spin system in a time-dependent magnetic field. By a unitary transformation we obtain the formal exact solutions of the Schrödinger equation for this system. Based on the formal exact solutions, the Aharonov-Anandan phases are worked out.
ISSN:0375-9601
1873-2429
DOI:10.1016/S0375-9601(98)00832-9