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A dynamical meaning is given for the phase Γ recently found in a quantum adiabatic process. A noncanonical system, specifically a spin system coupled with a proper intrinsic system, is considered by use of a path integral in a SU (2) coherent-state representation. It is shown that Γ appears as an addition of topological nature to the conventional action function, which leads to a novel form of the semiclassical quantization rule including the phase Γ.
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Kuratsuji et al. (1986) studied this question.
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