Quantum Symmetry for a System with a Singular Lagrangian Containing Subsidiary Condition

	Quantum Symmetry for a System with a Singular Lagrangian Containing Subsidiary Condition
	Zhang, Y.; Jiang, J. H.; Li, Z. P.; Du, A. M.; Zhao, X. H.
刊名	INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
	2011
卷号	50 期号:11 页码:3398-3414
关键词	Lagrangian and Hamiltonian approach Symmetry and conservation laws Gauge field theories
ISSN号	0020-7748
通讯作者	Zhang, Y (reprint author), Chinese Acad Sci, Inst Geol & Geophys, Beijing 100029, Peoples R China.
中文摘要	The quantization for a system with a singular Lagrangian containing subsidiary constrained conditions in configuration space is studied. The system is called constrained singular system. In certain case, the constrained singular system can be brought into the theoretical framework of the constrained Hamilton system. A modified Dirac-Bergmann algorithm for the calculation of constraints in the system is deduced. The path integral quantization is formulated by using the Faddeev-Senjanovic scheme, and the classical/quantum Noether theorem in canonical formalism are also established for such a system. The application of the results to study the fractional spin in non-Abelian Chern-Simons theory is given. We make a precise investigation of the fractional spin for such a system at the quantal level. A simple example is presented to show that the connection between the symmetry and conservation law in classical theories in general is no longer preserved in quantum theories.
英文摘要	The quantization for a system with a singular Lagrangian containing subsidiary constrained conditions in configuration space is studied. The system is called constrained singular system. In certain case, the constrained singular system can be brought into the theoretical framework of the constrained Hamilton system. A modified Dirac-Bergmann algorithm for the calculation of constraints in the system is deduced. The path integral quantization is formulated by using the Faddeev-Senjanovic scheme, and the classical/quantum Noether theorem in canonical formalism are also established for such a system. The application of the results to study the fractional spin in non-Abelian Chern-Simons theory is given. We make a precise investigation of the fractional spin for such a system at the quantal level. A simple example is presented to show that the connection between the symmetry and conservation law in classical theories in general is no longer preserved in quantum theories.
学科主题	空间物理
收录类别	SCI
资助信息	NSFC [40890163]; OPWSRP [201005017]; 973 Program [2011CB811404]; Specialized Research Fund for State Key Laboratories; China Postdoctoral Science Foundation
语种	英语
公开日期	2014-12-15
内容类型	期刊论文
源URL	[http://ir.nssc.ac.cn/handle/122/3087]
专题	国家空间科学中心_空间科学部
推荐引用方式 GB/T 7714	Zhang, Y.,Jiang, J. H.,Li, Z. P.,et al. Quantum Symmetry for a System with a Singular Lagrangian Containing Subsidiary Condition[J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS,2011,50(11):3398-3414.
APA	Zhang, Y.,Jiang, J. H.,Li, Z. P.,Du, A. M.,&Zhao, X. H..(2011).Quantum Symmetry for a System with a Singular Lagrangian Containing Subsidiary Condition.INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS,50(11),3398-3414.
MLA	Zhang, Y.,et al."Quantum Symmetry for a System with a Singular Lagrangian Containing Subsidiary Condition".INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS 50.11(2011):3398-3414.