Supersymmetric quantum mechanics and SUSY dependent SU(2) symmetry for a spin-1/2 charged particle in a magnetic field
文献类型：期刊论文
| 作者 | Jia Wen-Zhi1; Wang Shun-Jin1,2 |
| 刊名 | COMMUNICATIONS IN THEORETICAL PHYSICS
 |
| 出版日期 | 2008-08-15 |
| 卷号 | 50页码:335-340 |
| 关键词 | supersymmetric quantum mechanics Dirac equation semi-unitary transformation |
| ISSN号 | 0253-6102 |
| 英文摘要 | We find that in a supersymmetric quantum mechanics (SUSY QM) system, in addition to supersymmetric algebra, an associated SU(2) algebra can be obtained by using semiunitary (SUT) operator and projection operator, and the relevant constants of motion can be constructed. Two typical quantum systems are investigated as examples to demonstrate the above finding. The first example is the quantum system of a nonrelativistic charged particle moving in x-y plane and coupled to a magnetic field along z-axis. The second example is provided with the Dirac particle in a magnetic field. Similarly there exists an SU tau(2) circle times SU sigma(2) symmetry in the context of the relativistic Pauli Hainiltonian squared. We show that there exists also an SU(2) symmetry associated with the supersymmetry of the Dirac particle. |
| WOS关键词 | ELECTRON ; GRAPHENE ; EQUATION ; GAS |
| 资助项目 | National Natural Science Foundation of China[10375039] ; National Natural Science Foundation of China[90503008] ; Ministry of Education of China ; Center of Theoretical Nuclear Physics of HIRFL of China |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000258939800010 |
| 出版者 | INT ACADEMIC PUBLISHERS LTD |
| 资助机构 | National Natural Science Foundation of China ; Ministry of Education of China ; Center of Theoretical Nuclear Physics of HIRFL of China |
| 源URL | [http://119.78.100.186/handle/113462/29596]  |
| 专题 | 中国科学院近代物理研究所 |
| 通讯作者 | Jia Wen-Zhi |
| 作者单位 | 1.Sichuan Univ, Dept Phys, Ctr Theoret Phys, Chengdu 610064, Peoples R China 2.Natl Lab Heavy Ion Accelerator, Ctr Theoret Nucl Phys, Lanzhou 730000, Peoples R China |
| 推荐引用方式 GB/T 7714 | Jia Wen-Zhi,Wang Shun-Jin. Supersymmetric quantum mechanics and SUSY dependent SU(2) symmetry for a spin-1/2 charged particle in a magnetic field[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2008,50:335-340. |
| APA | Jia Wen-Zhi,&Wang Shun-Jin.(2008).Supersymmetric quantum mechanics and SUSY dependent SU(2) symmetry for a spin-1/2 charged particle in a magnetic field.COMMUNICATIONS IN THEORETICAL PHYSICS,50,335-340. |
| MLA | Jia Wen-Zhi,et al."Supersymmetric quantum mechanics and SUSY dependent SU(2) symmetry for a spin-1/2 charged particle in a magnetic field".COMMUNICATIONS IN THEORETICAL PHYSICS 50(2008):335-340. |
入库方式： OAI收割
来源：近代物理研究所
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