Berry's Phase Factor in a Moving Reference Frame and Its Observable Effects in Physics

Sun Changpu; Zhang Linzhi

Chinese Physics C> 1990, Vol. 14> Issue(S1) : 71-81

Berry's Phase Factor in a Moving Reference Frame and Its Observable Effects in Physics

Physics Department, Northeast Normal University, Changchun

Abstract
HTML
Reference
Related

PDF

Abstract：
In the non-relativistic case the properties of the adiabatic approximation solution of the Schrödinger equation in the moving reference frame and the corresponding Berry's phase factor are discussed in this paper. Translation and rotation reference frames are analyzed in detail. These discussions demonstrate that the appearance of the Berry's phase factor depends on the choice of the reference frame. For the Bitter and Dubbers' experiment about neutron polarization, which concerns the translation reference frame, we not only obtain the result of the zeroth-order approximation in agreement with the experiment, but also do further analysis for the high-order effects that may appear when the adiabatic condition is broken.

[1]	Hao Yang , Zhi-Qing Zhang , You-Ya Yang , Peng Li . $ D^*_{(s)}\to P $ form factors and their applications to semi-leptonic and non-leptonic weak decays. Chinese Physics C, 2025, 49(12): 123104. doi: 10.1088/1674-1137/adfb5d
[2]	Yingjie Fan , Xuewen Liu , Ning Zhou . Characterizing the CJPL’s site-specific neutrino floor as the neutrino fog boundary. Chinese Physics C, 2025, 49(10): 103001. doi: 10.1088/1674-1137/ade65e
[3]	Xiaocong Ai , Wolfgang Altmannshofer , Peter Athron , Xiaozhi Bai , Lorenzo Calibbi , Lu Cao , Yuzhi Che , Chunhui Chen , Ji-Yuan Chen , Long Chen , Mingshui Chen , Shanzhen Chen , Xuan Chen , Shan Cheng , Cheng-Wei Chiang , Andreas Crivellin , Hanhua Cui , Olivier Deschamps , Sébastien Descotes-Genon , Xiaokang Du , Shuangshi Fang , Yu Gao , Yuanning Gao , Li-Sheng Geng , Pablo Goldenzweig , Jiayin Gu , Feng-Kun Guo , Yuchen Guo , Zhi-Hui Guo , Tao Han , Hong-Jian He , Jibo He , Miao He , Xiaogang He , Yanping Huang , Gino Isidori , Quan Ji , Jianfeng Jiang , Xu-Hui Jiang , Jernej F. Kamenik , Tsz Hong Kwok , Gang Li , Geng Li , Haibo Li , Haitao Li , Hengne Li , Honglei Li , Liang Li , Lingfeng Li , Qiang Li , Qiang Li , Shu Li , Xiaomei Li , Xin-Qiang Li , Yiming Li , Yubo Li , Yuji Li , Zhao Li , Hao Liang , Zhijun Liang , Libo Liao , Zoltan Ligeti , Jia Liu , Jianbei Liu , Tao Liu , Yi Liu , Yong Liu , Zhen Liu , Xinchou Lou , Peng-Cheng Lu , Alberto Lusiani , Hong-Hao Ma , Kai Ma , Farvah Mahmoudi , Yajun Mao , Yaxian Mao , David Marzocca , Juan-Juan Niu , Soeren Prell , Huirong Qi , Sen Qian , Zhuoni Qian , Qin Qin , Ariel Rock , Jonathan L. Rosner , Manqi Ruan , Dingyu Shao , Chengping Shen , Xiaoyan Shen , Haoyu Shi , Liaoshan Shi , Zong-Guo Si , Cristian Sierra , Huayang Song , Shufang Su , Wei Su , Zhijia Sun , Michele Tammaro , Dayong Wang , En Wang , Fei Wang , Hengyu Wang , Jian Wang , Jianchun Wang , Kun Wang , Lian-Tao Wang , Wei Wang , Xiaolong Wang , Xiaoping Wang , Yadi Wang , Yifang Wang , Yuexin Wang , Xing-Gang Wu , Yongcheng Wu , Rui-Qing Xiao , Ke-Pan Xie , Yuehong Xie , Zijun Xu , Haijun Yang , Hongtao Yang , Lin Yang , Shuo Yang , Zhongbao Yin , Fusheng Yu , Changzheng Yuan , Xing-Bo Yuan , Xuhao Yuan , Chongxing Yue , Xi-Jie Zhan , Hong-Hao Zhang , Kaili Zhang , Liming Zhang , Xiaoming Zhang , Yang Zhang , Yanxi Zhang , Ying Zhang , Yongchao Zhang , Yu Zhang , Zhen-Hua Zhang , Zhong Zhang , Mingrui Zhao , Qiang Zhao , Xu-Chang Zheng , Yangheng Zheng , Chen Zhou , Daicui Zhou , Pengxuan Zhu , Yongfeng Zhu , Xuai Zhuang , Xunwu Zuo , Jure Zupan . Flavor physics at the CEPC: a general perspective. Chinese Physics C, 2025, 49(10): 103003. doi: 10.1088/1674-1137/adf1f0
[4]	FAN Ping , YUAN Da-Qing , ZUO Yi , ZHENG Yong-Nan , ZHOU Dong-Mei , WU Xiao-Guang , LI Guang-Sheng , ZHU Li-Hua , XU Guo-Ji , FAN Qi-Wen , ZHANG Xi-Zhen , ZHU Sheng-Yun . Proton alignment in ⁸²Sr investigated by g-factor measurements. Chinese Physics C, 2009, 33(S1): 206-208. doi: 10.1088/1674-1137/33/S1/066
[5]	YE Yan-Lin , ZHOU Xiao-Hong , LIU Wei-Ping , MA Yu-Gang , ZHANG Yu-Hu , XU Fu-Rong . Outline of the progress in the study of radioactive nuclear physics and super-heavy nuclei. Chinese Physics C, 2008, 32(S2): 1-7.
[6]	LIU Chang-Long , LU Yi-Ying , YIN LI . Effects of Additional Vacancy-Like Defects Produced by Ion Impealations on Boron Thermal Diffusion in Silicon. Chinese Physics C, 2005, 29(11): 1107-1111.
[7]	SHEN Shui-Fa , YU Xiao-Han . Decay of ⁸³Sr and Discussion of Its Daughter's Band Structures. Chinese Physics C, 2004, 28(S1): 78-80.

Access

Get Citation

Sun Changpu and Zhang Linzhi. Berry's Phase Factor in a Moving Reference Frame and Its Observable Effects in Physics[J]. Chinese Physics C, 1990, 14(S1): 71-81.

Sun Changpu and Zhang Linzhi. Berry's Phase Factor in a Moving Reference Frame and Its Observable Effects in Physics[J]. Chinese Physics C, 1990, 14(S1): 71-81. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1989-05-03

Article Metric

Article Views(1471)
PDF Downloads(11)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Berry's Phase Factor in a Moving Reference Frame and Its Observable Effects in Physics

Sun Changpu
Zhang Linzhi

Physics Department, Northeast Normal University, Changchun

Received Date: 1989-05-03

Abstract: In the non-relativistic case the properties of the adiabatic approximation solution of the Schrödinger equation in the moving reference frame and the corresponding Berry's phase factor are discussed in this paper. Translation and rotation reference frames are analyzed in detail. These discussions demonstrate that the appearance of the Berry's phase factor depends on the choice of the reference frame. For the Bitter and Dubbers' experiment about neutron polarization, which concerns the translation reference frame, we not only obtain the result of the zeroth-order approximation in agreement with the experiment, but also do further analysis for the high-order effects that may appear when the adiabatic condition is broken.