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Formal exact solution for the Heisenberg spin system in a time-dependent magnetic field and Aharonov-Anandan phase
Institution:1. Department of Physics, Hebei Normal University (Eastern Campus), Shijiazhuang 050016, China;2. Institute of Physics and Center for Condensed Matter Physics, Academia Sinica, Beijing 100080, China;1. Department of Physics, The American College, Madurai 625002, India;2. Department of Physics, Alagappa Govt. Arts College, Karaikudi 630003, India
Abstract: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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