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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.; Zhang, Y (reprint author), Chinese Acad Sci, Inst Geol & Geophys, Beijing 100029, Peoples R China.
Department空间科学部
Source PublicationINTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
2011
Volume50Issue:11Pages:3398-3414
ISSN0020-7748
Language英语
KeywordLagrangian And Hamiltonian Approach Symmetry And Conservation Laws Gauge Field Theories
AbstractThe 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.; 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.
Indexed BySCI
Funding Project中国科学院空间科学与应用研究中心
Document Type期刊论文
Identifierhttp://ir.nssc.ac.cn/handle/122/3087
Collection空间科学部
Corresponding AuthorZhang, Y (reprint author), Chinese Acad Sci, Inst Geol & Geophys, Beijing 100029, Peoples R China.
Recommended Citation
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.,&Zhang, Y .(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.
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