Canonical Quantal Symmetry in a Dynamical System

Li Ziping

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《中国物理C》（英文）编辑部

2024年10月30日

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

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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.

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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

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

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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.