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A constructive index theorem, phase operators, and phase-difference operators
Yu, SX; Zhang, YD; Yu, SX , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
1998
发表期刊JOURNAL OF MATHEMATICAL PHYSICS
ISSN0022-2488
卷号39期号:10页码:5260-5267
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].
部门归属Univ Vienna, Atominst, A-1020 Vienna, Austria; Univ Sci & Technol China, Dept Modern Phys, Anhua 230027, Peoples R China
关键词Transformation Theory Hilbert-space Field
学科领域Physics
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收录类别SCI
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/12250
专题理论物理所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.
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GB/T 7714
Yu, SX,Zhang, YD,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 Yu, SX,Zhang, YD,&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 Yu, SX,et al."A constructive index theorem, phase operators, and phase-difference operators".JOURNAL OF MATHEMATICAL PHYSICS 39.10(1998):5260-5267.
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