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几何相位的伽利略变换性质
引用本文:郑映鸿,陈童,王平,常哲.几何相位的伽利略变换性质[J].物理学报,2007,56(11):6199-6203.
作者姓名:郑映鸿  陈童  王平  常哲
作者单位:中国科学院高能物理研究所,北京,100049
摘    要:对几何相位的伽利略变换性质结果表明:通常实验中所测量体系的几何相位的确是伽利略不变的.但一般量子体系的几何相位不具有伽利略不变性.还仔细考察了几何相位在伽利略boost作用下变化的物理起源.文章最后通过对假想实验的分析,进一步证明几何相位对参考系的依赖并不意味着相应物理可观测量的非伽利略协变性.

关 键 词:几何相位  伽利略变换
文章编号:1000-3290/2007/56(11)/6199-05
收稿时间:2007-03-10
修稿时间:4/6/2007 12:00:00 AM

Properties of geometric phase under Galilean transformation
Zheng Ying-Hong,Chen Tong,Wang Ping,Chang Zhe.Properties of geometric phase under Galilean transformation[J].Acta Physica Sinica,2007,56(11):6199-6203.
Authors:Zheng Ying-Hong  Chen Tong  Wang Ping  Chang Zhe
Institution:Institute of High Energy Physics,Chinese Academy of Sciences,Beijing 100049,China
Abstract:Properties of geometric phase under Galilean transformation are investigated within a general framework. We found that the geometric phase in the system commonly met with in the laboratory is Galilean invariant. However, this is not always true for general non-relativistic quantum systems. The physical origins of the frame dependence of geometric phase is discussed in detail. We emphasize that the change of geometric phase caused by Galilean boosts does not destroy the results of measurement for two-state interference. It is consistent with the general constraint of Galilean invariance on a non-relativistic quantum system.
Keywords:geometric phase  Galilean transformation
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