Canonical Quantal Symmetry in a Dynamical System

Li Ziping

Chinese Physics C> 1995, Vol. 19> Issue(11) : 1012-1018

Canonical Quantal Symmetry in a Dynamical System

Li Ziping ^,

Department of APPlied Physics,Beijing Polytechnic University,Beijing100022

Abstract
HTML
Reference
Related

PDF

Abstract：
Starting from phase-space generating functional for the system with regular and singular Lagrangian respectively,the canonical Ward identities under the global symmetry transformation in phase space are deduced.The corresponding local transiormation is studied,the conserved charge is obtained at quantum level and the canonical Noether theorem in quantum case is given.The preliminary application of the results to a system of interacting nucleons and pious is discussed.

References

[1]

Ziping Li,Int.J.Theor.Phys,32（1993）201.[2] 李子平，中国科学，A9（1992）977.[3] G.Costa,M.Tonin,Riv.Nuovo Cim,5（1975）29.[4] 李子平，”经典和量子约束系统及其对称性质“,北京工业大学出版社，1993年。[5] H.Suura,B.L.Young,Phys.Rev,D8（1973）4353.[6] T.Lhallabi,Int.J.Theor.Phys,28（1989）875.[7] Ziping Li,Acta Physica Sinica（Overseas Edition）,3（1994）481.[8] 李子平，高能物理与核物理，17（1994）693.[9] Ziping Li,Europhys.Lett,27（1994）563.

[1]	LIANG Xiao-Feng , CHEN Huan , CHANG Lei , LIU Yu-Xin . Dynamical Chiral Symmetry Breaking and Phase Transition of Cuprate Superconductors in QED₃. Chinese Physics C, 2007, 31(2): 209-218.
[2]	JIANG Yun-Guo , HUANG Yong-Chang . Faddeev-Senjanovic Quantization of the Supersymmetrical Electrodynamic System. Chinese Physics C, 2006, 30(12): 1151-1155.
[3]	LONG Zheng-Wen , LIU Bo , LI Zi-Ping . Canonical Quantization of the Complex Scalar Field Coupled to the Abel Chern-Simons Term. Chinese Physics C, 2003, 27(10): 866-869.
[4]	LI Rui-Jie , LI Zi-Ping . Quantal Canonical Symmetries in Spinor QED with Chern-Simons Term. Chinese Physics C, 2002, 26(4): 325-330.
[5]	LONG ZhengWen , Li ZiPing . Global Symmetry and Quantal Conservation Laws for a Gauge-Invariant System With a Higher-Order Lagrangian. Chinese Physics C, 2000, 24(2): 106-112.
[6]	Li Ziping . Global Symmetry in Phase-Space Path Integral for a System With a Singular Lagrangian. Chinese Physics C, 1997, 21(1): 34-43.
[7]	Ruan Wenying , Bao Chengguang . The Effect of Symmetry on Structures And Internal Motions of a 4-Body System. Chinese Physics C, 1994, 18(5): 454-459.
[8]	Ruan Wenying , Bac Chengguang . The Effect of Symmetry on The Structures of Three-Body Systems. Chinese Physics C, 1994, 18(1): 74-80.
[9]	Li Ziping . Canonical Symmetry in a System with Singular Lagrangian and Ward Identities. Chinese Physics C, 1994, 18(8): 694-701.
[10]	FU Deji , YANG Yatian , WANG Wenge , XU Gongou . Topological Approach to the Study of Dynamical Symmetry Breaking in IBM System. Chinese Physics C, 1993, 17(11): 1032-1039.
[11]	LI Fu-Bin . Spontaneous symmetry Breakdown and an Integral Expression of the Effective Potential in Quantum Electrodynamics. Chinese Physics C, 1992, 16(3): 212-218.
[12]	PAN Feng , CAO Yu-Fang , PAN Zhen-Yong . An Investigation of G Pair Included Fermion Dynamical Symmetry Model for Medium and Heavy Mass Nuclei. Chinese Physics C, 1991, 15(7): 647-654.
[13]	LI Guang-Hua , HE Hui-Yong . THE U(90) DYNAMICAL SYMMETRY IN LIGHT NUCLEI. Chinese Physics C, 1990, 14(2): 164-170.
[14]	SUN Hong-Zhou , WANG Wei-Wei , ZHAO En-Guang , CHEN Sheng-Zhong . DYNAMICAL SUPERSYMMETRY U(36/24) IN LIGHT NUCLEI. Chinese Physics C, 1989, 13(3): 282-284.
[15]	PAN Feng , CAO Yu-Fang , PAN Zhen-Yong . U^(B)(6)×U^(v)(12)×U^(π)(4) DYNAMICAL SYMMETRY IN ODD-ODD NUCLEI. Chinese Physics C, 1988, 12(3): 404-413.
[16]	XIE Shu-Qin , ZHANG Qi-Ren . AN SU(3) SYMMETRY IN THE TRIBARYON SYSTEM. Chinese Physics C, 1988, 12(5): 673-682.
[17]	ZHU Chao-Yuan , HU Shi-Ke . EFFECTIVE-POTENTIAL STUDY OF DYNAMICAL CHIRAL SYMMETRY BREAKING IN QUANTUM CHROMODYNAMICS. Chinese Physics C, 1987, 11(4): 451-461.
[18]	XU Bo-Wei . ON SO(4) SYMMETRY OF DYONS SYSTEM. Chinese Physics C, 1986, 10(2): 249-253.
[19]	ZHANG YU-SHUN , WANG WEI-WEI , LI YANG-GUO , CHEN XIAO-TIAN , RUAN TU-NAN . SU₆ UNITARY SYMMETRY IN DIBARYON SYSTEMS. Chinese Physics C, 1981, 5(2): 149-156.
[20]	Chen Xiao-tian , Yuan Tu-nan , Zhang Yu-shun , Li Yang-guo . UNITARY SYMMETRY IN BARYON-ANTIBARYON SYSTEMS. Chinese Physics C, 1980, 4(4): 445-454.

Access

Get Citation

Li Ziping. Canonical Quantal Symmetry in a Dynamical System[J]. Chinese Physics C, 1995, 19(11): 1012-1018.

Li Ziping. Canonical Quantal Symmetry in a Dynamical System[J]. Chinese Physics C, 1995, 19(11): 1012-1018. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2721)
PDF Downloads(535)
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

Canonical Quantal Symmetry in a Dynamical System

Li Ziping ^,

Corresponding author: Li Ziping,

Department of APPlied Physics,Beijing Polytechnic University,Beijing100022

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1995-11-15

Abstract: Starting from phase-space generating functional for the system with regular and singular Lagrangian respectively,the canonical Ward identities under the global symmetry transformation in phase space are deduced.The corresponding local transiormation is studied,the conserved charge is obtained at quantum level and the canonical Noether theorem in quantum case is given.The preliminary application of the results to a system of interacting nucleons and pious is discussed.