A constructive index theorem, phase operators, and phase-difference operators
文献类型：期刊论文
| 作者 | Zhang, YD; Yu, SX; Yu, SX , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China. |
| 刊名 | JOURNAL OF MATHEMATICAL PHYSICS
 |
| 出版日期 | 1998 |
| 卷号 | 39期号:10页码:5260-5267 |
| 关键词 | Transformation Theory Hilbert-space Field |
| ISSN号 | 0022-2488 |
| 英文摘要 | A constructive reversed index theorem concerning the polar decomposition of an operator into a product of a unitary exponential phase operator and a Hermitian amplitude operator is investigated. Its applications to the construction of Hermitian phase operators of fermions and phase-difference operators between bosons or fermions are presented. Specifically, a Hermitian operator is constructed for the phase difference between a single-mode fermion and boson, which is justified by the fact that it is exactly the interaction part of the Hamiltonian of the Jaynes-Cummings Model. Furthermore, a Hermitian phase operator of a single-mode boson can also be defined referring to a single-mode fermion. All those quantized phases and phase-differences are found to obey a quantum addition rule instead of the ordinary commutative addition rule. (C) 1998 American Institute of Physics. [S0022-2488(98)00107-8]. |
| 学科主题 | Physics |
| URL标识 | 查看原文 |
| 公开日期 | 2012-08-29 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/12250]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 通讯作者 | Yu, SX , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China. |
| 推荐引用方式 GB/T 7714 | Zhang, YD,Yu, SX,Yu, SX , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.. A constructive index theorem, phase operators, and phase-difference operators[J]. JOURNAL OF MATHEMATICAL PHYSICS,1998,39(10):5260-5267. |
| APA | Zhang, YD,Yu, SX,&Yu, SX , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China..(1998).A constructive index theorem, phase operators, and phase-difference operators.JOURNAL OF MATHEMATICAL PHYSICS,39(10),5260-5267. |
| MLA | Zhang, YD,et al."A constructive index theorem, phase operators, and phase-difference operators".JOURNAL OF MATHEMATICAL PHYSICS 39.10(1998):5260-5267. |
入库方式： OAI收割
来源：理论物理研究所
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