Chinese Physics C > 1990, Vol. 14 > Issue(8): 692-699

TOPOLOGICAL ACTION RELATIONG TO BERRY'S PHASE AND NON-ADIABATIC EFFECTS

SUN Chang-Pu^,

Theoretical Physics Division,Nankai Institute of Mathematics,Tianjin and Physics Department,Northeast Normal.University,Changchun

Abstract
HTML
Reference
Related

PDF

Abstract：
In non-adiabatic cases the topological action assocaiated with Berry's phase and the corresp onding effective Hamiltonian are obtained by path-integral method.We also give the non-adiabatic transition probability amplitude in the first-order approximation.It is thereby shown that the Berry's phase and the induced gauge structure have universality of existence.As an example,dynamics of induced monople relating to the Bitter-Dubber's experiment is analysed in terms of induced gauge field.

References

[1]

M.V. Berry, Proc. R. Soc. Lond., A 392(1984),45.[2] R. Jackiw, Com. Atom.Mole. Phys., 21(1988),71.and therein.[3] H. Kuratsuji and S. Iida, Prog. Thcor. Phys., 74(1985), 439.[4] H. Kuratsuji and S. Iida, Phys. Rcv. Lett, 56(1986), 1003.[5] C. -P. Sun, J. Phys., A21(1988), 1595.[6] C. -P. Sun, High Encrgy Phys. Nucl. Phys. 12(1988), 352.[7] C. -P. Sun, Phys. Rev., D38(1988), 2908.[8] C.-P. Sun, Chinese Phys. Lett., 6(1989), 97.[9] 孙昌璞，高能物理与核物理，13(1989)，110,[10] 孙昌璞，高能物理与核物理，13(1989)，403,[11] J. Moody et, al, Phys. Reu. Lett., 59(1987),161.[12] T. Bitter and D. Dubbers, Phys. Rev. Lett., 59(1987), 251.[13] 孙昌璞，张林芝，高能物理与核物理，14(1990)，136,[14] 马中骐，戴安英，《群论及其在物理学中的应用，，北京理工大学出版社(1988),

[1]	SONG Yuan-Jun,WANG Shun-Jin,ZHANG Guang-Biao. Nonadiabatic Geometric Phase and Hannay's Angle of the Nonautonomous Landau System in a Rotating Magnetic Field. Chinese Physics C, 2005, 29(7): 639-643.
[2]	ZHANG ZhongCan,FANG ZhenYun,HU ChenGuO,SUN ShiJun. Berry Geometric Phase and Quantum Transition. Chinese Physics C, 2000, 24(12): 1106-1114.
[3]	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.
[4]	Ren Xuezao,Zhu Yunlun,Chen Ying. Analytical study of Lattice U(1) and U(1)-Higgs Models at Finite Temperature With Symanzik Action. Chinese Physics C, 1998, 22(6): 492-498.
[5]	Zhao Peiying,Wu Jimin. Phase Structure ofU(1) Lattice Gauge Theory by Variational Study with Independent Plaquette Effective Action. Chinese Physics C, 1996, 20(2): 124-130.
[6]	Meng Jie,Zeng Jinyan,Zhao Enguang. Berry Phase and Pair Transfer Matrix Element in Rotating Nuclei. Chinese Physics C, 1994, 18(3): 249-255.
[7]	LIU Jin-Ming,GONG Di. Variational Study of 3-Dimensional SU(2) Lattice Gauge Theory with Independent Plaquette Trial Action. Chinese Physics C, 1993, 17(2): 128-133.
[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]	NI Zhi-Xiang,LI Xin-Zhou. A Class of Non-Topological Solitons With Self-Interactions Φ⁴. Chinese Physics C, 1991, 15(1): 92-96.
[10]	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.
[11]	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.
[12]	WU Ji-Min. ON THE CHOICE OF THE TRIAL ACTION IN VARIATIONAL CUMULANT EXPANSION APPROACH ON LATTICE. Chinese Physics C, 1989, 13(9): 789-795.
[13]	LI Wen-Zhu,ZHANG Jian-Bo. VARIATIONAL ANALYSIS OF CUMULANT EXPANSION IN SU(2) LATTICE GAUGE THEORY WITH AN ACTION INCLUDING SIX-LINK LOOPS. Chinese Physics C, 1988, 12(5): 608-615.
[14]	SUN Chang-Pu. QUASI-ADIABATIC APPROXIMATION FOR THE SLOWLY-CHANGING QUANTUM PROCCESS AND BERRY PHASE FACTOR. Chinese Physics C, 1988, 12(3): 351-357.
[15]	LI Wen-Zhu,ZHANG Jian-Bo,DONG Shao-Jing. MONTE CARLO STUDY OFSU(2) GROUP SPACE DECIMATION EFFECTIVE ACTION. Chinese Physics C, 1987, 11(4): 462-468.
[16]	GAO Hong-Bo,SUN Yi. THE LOCALLY PRODUCT STRUCTURE OF INTERNAL SPACE AND SOME OF THE PROPERTIES IN HETEROTIC STRING ACTION. Chinese Physics C, 1987, 11(5): 614-619.
[17]	CHEN Tian-Lun,SUO Cun-Chuan. VARIATIONAL ANALYSIS OF PHASE STRUCTURE OF THESU(2) LATTICE GAUGE THEORY WITH AN ACTION INCLUDING SIX-LINK LOOPS. Chinese Physics C, 1986, 10(2): 158-163.
[18]	LI Wen-Zhu,DONG Shao-Jing. MONTE CARLO STUDY OF MANTON'S ACTION FOR FOUR-DIMENSIONALSU(5) LATTICE GAUGE THEORY. Chinese Physics C, 1985, 9(1): 34-40.
[19]	LI Wen-Zhu,DONG Shao-Jing. MONTE CARLO STUDY OFSU(3) LATTICE GAUGE THEORY FOR TWO ALTERANTIVE ACTIONS. Chinese Physics C, 1985, 9(4): 502-504.
[20]	ZHOU Guang-Zhao,GUO Han-Ying,WU Ke,SONG Xing-Chang. ON THE GAUGE INVARIANCE OF WESS-ZUMINO-WITTEN EFFECTIVE ACTION. Chinese Physics C, 1984, 8(2): 252-256.

Access

Get Citation

SUN Chang-Pu. TOPOLOGICAL ACTION RELATIONG TO BERRY'S PHASE AND NON-ADIABATIC EFFECTS[J]. Chinese Physics C, 1990, 14(8): 692-699.

SUN Chang-Pu. TOPOLOGICAL ACTION RELATIONG TO BERRY'S PHASE AND NON-ADIABATIC EFFECTS[J]. Chinese Physics C, 1990, 14(8): 692-699. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(3900)
PDF Downloads(439)
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

TOPOLOGICAL ACTION RELATIONG TO BERRY'S PHASE AND NON-ADIABATIC EFFECTS

SUN Chang-Pu^,

Corresponding author:SUN Chang-Pu,

Theoretical Physics Division,Nankai Institute of Mathematics,Tianjin and Physics Department,Northeast Normal.University,Changchun

Received Date:1900-01-01
Accepted Date:1900-01-01
Available Online:1990-08-05

Abstract:In non-adiabatic cases the topological action assocaiated with Berry's phase and the corresp onding effective Hamiltonian are obtained by path-integral method.We also give the non-adiabatic transition probability amplitude in the first-order approximation.It is thereby shown that the Berry's phase and the induced gauge structure have universality of existence.As an example,dynamics of induced monople relating to the Bitter-Dubber's experiment is analysed in terms of induced gauge field.