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题名: A constructive index theorem, phase operators, and phase-difference operators
作者: Yu, SX ;  Zhang, YD
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
学科分类: Physics
通讯作者: Yu, SX , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
部门归属: Univ Vienna, Atominst, A-1020 Vienna, Austria; Univ Sci & Technol China, Dept Modern Phys, Anhua 230027, Peoples R China
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].
收录类别: SCI
原文出处: 查看原文
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/12250
Appears in Collections:理论物理所1978-2010年知识产出_期刊论文

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Recommended Citation:
Yu, SX,Zhang, YD. A constructive index theorem, phase operators, and phase-difference operators[J]. JOURNAL OF MATHEMATICAL PHYSICS,1998,39(10):5260-5267.
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