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

Sun Changpu; Zhang Linzhi

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

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]	Yueling Yang , Yupei Guo , Junfeng Sun , Na Wang , Qin Chang , Gongru Lu . B_u → ψM decays and S-D wave mixing effects. Chinese Physics C, 2018, 42(11): 113102. doi: 10.1088/1674-1137/42/11/113102
[2]	Xiang-Ru Yu , Jing Hu , Xiao-Xue Li , Si-Yu An , Yu Zhang . Effects of single particle on shape phase transitions and phase coexistence in odd-even nuclei. Chinese Physics C, 2018, 42(3): 034103. doi: 10.1088/1674-1137/42/3/034103
[3]	H. Sadeghi , R. Ghasemi , H. Khalili . Astrophysical S-factor of the ¹²C(α,γ) ¹⁶O reaction at solar energies. Chinese Physics C, 2014, 38(8): 084101. doi: 10.1088/1674-1137/38/8/084101
[4]	H. Sadeghi , H. Khalili , M. Godarzi . Astrophysical S-factor of the d(p,γ)³He processby. Chinese Physics C, 2013, 37(4): 044102. doi: 10.1088/1674-1137/37/4/044102
[5]	CHEN Tong , WU Ning , YU Yue . Spin path integral and quantum mechanics in the rotating frame of reference. Chinese Physics C, 2011, 35(2): 139-143. doi: 10.1088/1674-1137/35/2/006
[6]	HE Xiao-Gang . Darkon dark matter, unparticle effects and collider physics. Chinese Physics C, 2009, 33(6): 451-455. doi: 10.1088/1674-1137/33/6/010
[7]	ZHANG ZhongCan , FANG ZhenYun , HU ChenGuO , SUN ShiJun . Berry Geometric Phase and Quantum Transition. Chinese Physics C, 2000, 24(12): 1106-1114.
[8]	Zhang Zhongcan , Fang Zhenyun , Hu Chenguo , Sun Shijun . The Extention of Berry's Theory on Geometric Phase. Chinese Physics C, 1999, 23(10): 980-991.
[9]	Shen Yuelin , Ni Guangjiong . Berry's Connection and Wu-Yang's Monopole Potential. Chinese Physics C, 1995, 19(6): 500-507.
[10]	Meng Jie , Zeng Jinyan , Zhao Enguang . Berry Phase and Pair Transfer Matrix Element in Rotating Nuclei. Chinese Physics C, 1994, 18(3): 249-255.
[11]	SUN Chang-Pu , PAN Lin , GE Mo-Lin . Effective topological action in Heisenberg spin model as Berry's phase. Chinese Physics C, 1992, 16(3): 202-207.
[12]	Sun Changpu , Pang Lin , Ge Molin . Effective Topological Action in Heisenberg Spin Model as Berry's Phase. Chinese Physics C, 1992, 16(S1): 51-56.
[13]	GAO Xiao-Chun , XU Jing-Bo , QIAN Tie-Zheng , CHEN Cheng-Ming . THE MECHANICAL BERRY PHASE AND CORRESPONDING CLASSICAL TOPOLOGICAL PHASE ANGLE. Chinese Physics C, 1990, 14(8): 704-710.
[14]	SUN Chang-Pu . TOPOLOGICAL ACTION RELATIONG TO BERRY'S PHASE AND NON-ADIABATIC EFFECTS. Chinese Physics C, 1990, 14(8): 692-699.
[15]	Sun Changpu . Topological Action Related to Berry's Phase and its Non-adiabatic Effects. Chinese Physics C, 1990, 14(S3): 265-273.
[16]	SUN Chang-Pu , ZHANG Lin-Zhi . BERRY'S PHASE FACTORS IN MOVING FRAMES OF REFERENCE AND THEIR OBSERVABLE EFFECTS. Chinese Physics C, 1990, 14(2): 136-144.
[17]	SUN Chang-Pu . A CLASSICAL MODLE OF QUANTUM BERRY'S PHASE FACTOR. Chinese Physics C, 1989, 13(2): 109-115.
[18]	Sun Changpu . Classical Model for Quantum Berry's Phase Factors. Chinese Physics C, 1989, 13(S1): 15-22.
[19]	SUN Chang-Pu . QUASI-ADIABATIC APPROXIMATION FOR THE SLOWLY-CHANGING QUANTUM PROCCESS AND BERRY PHASE FACTOR. Chinese Physics C, 1988, 12(3): 351-357.
[20]	Sun Changpu . Quasi-Adiabatic Approximation for Slowly-Changing Quantum System and Berry's Phase Factors. Chinese Physics C, 1988, 12(S3): 251-260.

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(793)
PDF Downloads(10)
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.