BERRY'S PHASE FACTORS IN MOVING FRAMES OF REFERENCE AND THEIR OBSERVABLE EFFECTS

SUN Chang-Pu; ZHANG Lin-Zhi

Chinese Physics C> 1990, Vol. 14> Issue(2) : 136-144

BERRY'S PHASE FACTORS IN MOVING FRAMES OF REFERENCE AND THEIR OBSERVABLE EFFECTS

SUN Chang-Pu ^, ,
ZHANG Lin-Zhi

Physics Department,Notheast Normal University,Changchun

Abstract
HTML
Reference
Related

PDF

Abstract：
Under non-relativistic conditions,the properties of adiabatic solutions of the Schrodinger equation in moving frame of reference and the behaviours of the corresponding Berry's Phase are analysed.Two cases of translation and rotation are discussed in detail,which show that the existence of Berry's phase depends on the choice of frame of reference.While Bitter and Dubbers's experiment is explained by the first-order approximation in our discussion,the nonadiabatic effects in this experiment are predicted by the second-order approximation when the adiabatic condition is broken.

References

[1]

M. V. Berry, Proc. Roy. Soc. (London)., A392(1984), 45.[2] R. Jackiw, Com. Atom. Mole. Phys, 21(1988), 71.[3] D. Suter et al，Mole. Phys., 61(1987), 1327.[4] T. Bitter and Dubers, Phys. Rev. Lett., 59(1987), 251.[5] D. R. Richardson et al., Phys. Rev. Lett., 61(1988), 2030.[6] M. Kugler and S.Shtrikman, Phys. Rev., D37 (1988), 934.[7] E. Gozzi et aL, Preprint CERN-TH 5262/88.[8] C. P. Sun, J. Phys., A21(1988), 1595[9] 孙昌璞，高能物理与核物理.12(1988),351;13(1989),110,[10] C. P. Sun Phys. Rev.D38(1988). 2908.[11] C. P. Sun, Chinese Phys. Lett., 6(1989), 97[12] R.Jackiw,in "HIgh Energy Physics 1985"World Scientific: 1986.[13] G.Busch and H. Schade, Theory of Solid State, (Pergmon, 1985).

[1]	SHAO Feng-Lan , XIE Qu-Bing , LI Shi-Yuan . Sensitive Observables for Color Connections in Three-Jet Events at Z⁰ Pole. Chinese Physics C, 2003, 27(6): 479-483.
[2]	ZHANG ZhongCan , FANG ZhenYun , HU ChenGuO , SUN ShiJun . Berry Geometric Phase and Quantum Transition. Chinese Physics C, 2000, 24(12): 1106-1114.
[3]	Jiang Weizhou , Qiu Xijun . Density Effects on the Fermion and the Scalar and Pseudoscalar Mesons in the QCD-Like Gauged NJL Model. Chinese Physics C, 1999, 23(5): 481-488.
[4]	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.
[5]	Ding Yibing , Li Xueqian , Wang Jianxiong , Zhang Zhaoxi , Xie Yuehong . On the Observation Effects of Higgs Particle in e⁺e^—→bb Z⁰ and tt－Z⁰ at LEP Ⅱ and NLC. Chinese Physics C, 1996, 20(11): 982-990.
[6]	Shen Yuelin , Ni Guangjiong . Berry's Connection and Wu-Yang's Monopole Potential. Chinese Physics C, 1995, 19(6): 500-507.
[7]	Meng Jie , Zeng Jinyan , Zhao Enguang . Berry Phase and Pair Transfer Matrix Element in Rotating Nuclei. Chinese Physics C, 1994, 18(3): 249-255.
[8]	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.
[9]	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.
[10]	LIU Jian-Ye , GE Yu-Cheng , GE Ling-Xiao . The Medium Effects in Dynamics Processes of the Intermediate Energy Heavy Ion Collisions. Chinese Physics C, 1991, 15(1): 71-79.
[11]	GE Ling-Xiao , ZENG Xiang-Hua , LIU Jian-Ye , ZENG Bao-Sheng . THE EFFECT OF COMPRESSION AND THERMAL EXCITATION FOR FRAGMENTATION DYNAMICS PROCESS OF HIC. Chinese Physics C, 1990, 14(3): 278-281.
[12]	Sun Changpu . Topological Action Related to Berry's Phase and its Non-adiabatic Effects. Chinese Physics C, 1990, 14(S3): 265-273.
[13]	Sun Changpu , Zhang Linzhi . Berry's Phase Factor in a Moving Reference Frame and Its Observable Effects in Physics. Chinese Physics C, 1990, 14(S1): 71-81.
[14]	SUN Chang-Pu . TOPOLOGICAL ACTION RELATIONG TO BERRY'S PHASE AND NON-ADIABATIC EFFECTS. Chinese Physics C, 1990, 14(8): 692-699.
[15]	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.
[16]	Sun Changpu . Classical Model for Quantum Berry's Phase Factors. Chinese Physics C, 1989, 13(S1): 15-22.
[17]	SUN Chang-Pu . A CLASSICAL MODLE OF QUANTUM BERRY'S PHASE FACTOR. Chinese Physics C, 1989, 13(2): 109-115.
[18]	Sun Changpu . Quasi-Adiabatic Approximation for Slowly-Changing Quantum System and Berry's Phase Factors. Chinese Physics C, 1988, 12(S3): 251-260.
[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]	MA Ji-Mao , WANG Yun-Yong , MAO Ze-Pu , LU Xin-Hua , XIE Pei-Pei , YAN Jie . PRELIMINARY TEST FOR AGEING EFFECT OF DRIFT CHAMBERS. Chinese Physics C, 1985, 9(3): 273-277.

Access

Get Citation

SUN Chang-Pu and ZHANG Lin-Zhi. BERRY'S PHASE FACTORS IN MOVING FRAMES OF REFERENCE AND THEIR OBSERVABLE EFFECTS[J]. Chinese Physics C, 1990, 14(2): 136-144.

SUN Chang-Pu and ZHANG Lin-Zhi. BERRY'S PHASE FACTORS IN MOVING FRAMES OF REFERENCE AND THEIR OBSERVABLE EFFECTS[J]. Chinese Physics C, 1990, 14(2): 136-144. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1900-01-01
Revised: 1900-01-01

Article Metric

Article Views(2607)
PDF Downloads(521)
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 FACTORS IN MOVING FRAMES OF REFERENCE AND THEIR OBSERVABLE EFFECTS

SUN Chang-Pu ^,
ZHANG Lin-Zhi

Corresponding author: SUN Chang-Pu,

Physics Department,Notheast Normal University,Changchun

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1990-02-05

Abstract: Under non-relativistic conditions,the properties of adiabatic solutions of the Schrodinger equation in moving frame of reference and the behaviours of the corresponding Berry's Phase are analysed.Two cases of translation and rotation are discussed in detail,which show that the existence of Berry's phase depends on the choice of frame of reference.While Bitter and Dubbers's experiment is explained by the first-order approximation in our discussion,the nonadiabatic effects in this experiment are predicted by the second-order approximation when the adiabatic condition is broken.