Quantum Symmetry for a System with a Singular Lagrangian Containing Subsidiary Condition
文献类型：期刊论文
| 作者 | Zhang, Y.; Jiang, J. H.; Li, Z. P.; Du, A. M.; Zhao, X. H. |
| 刊名 | INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
 |
| 出版日期 | 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 |
| 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. |
入库方式： OAI收割
来源：国家空间科学中心
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