HERMITICITY

作品数:6被引量:1H指数:1
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相关领域:理学更多>>
相关作者:黄鹤孙志刚李玉晓刘全慧刘力更多>>
相关机构:哥德堡大学中国科学院郑州大学辽宁师范大学更多>>
相关期刊:《Science China Mathematics》《Science China(Physics,Mechanics & Astronomy)》《Communications in Theoretical Physics》《Chinese Journal of Chemical Physics》更多>>
相关基金:国家自然科学基金国家重点基础研究发展计划更多>>
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Anti-(conjugate) linearity被引量:1
《Science China(Physics,Mechanics & Astronomy)》2016年第3期1-38,共38页Armin Uhlmann 
This is an introduction to antilinear operators. In following Wigner the terminus antilinear is used as it is standard in Physics.Mathematicians prefer to say conjugate linear. By restricting to finite-dimensional com...
关键词:OPERATORS canonical form antilinear (skew) hermiticity acq-lines 
Hermiticity of Hamiltonian Matrix using the Fourier Basis Sets in Bond-Bond-Angle and Radau Coordinates
《Chinese Journal of Chemical Physics》2016年第1期112-122,I0002,共12页于德权 黄鹤 Gunnar Nyman 孙志刚 
This work was supported by the National Basic Research Program of China (No.2013CB922200), the National Natural Science Foundation of China (No.21222308, No.21103187, and No.21133006), the Chinese Academy of Sciences, and the Key Research Program of the Chinese Academy of Sciences.
In quantum calculations a transformed Hamiltonian is often used to avoid singularities in a certain basis set or to reduce computation time. We demonstrate for the Fourier basis set that the Hamiltonian can not be arb...
关键词:Discrete variable representation HERMITICITY Time-dependent wavepacket method Absorption spectra 
Reality of Energy Spectra in Multi-dimensional Hamiltonians Having Pseudo Hermiticity with Respect to the Exchange Operator
《Communications in Theoretical Physics》2005年第1期49-54,共6页AsiriNanayakkara 
The pseudo Hermiticity with respect to the exchange operators of N-D complexHamiltonians is investigated. It is shown that if an N-D Hamiltonian is pseudo Hermitian and anyeigenfunction of it retains π_αT symmetry t...
关键词:PT symmetry exchange operator pseudo hermitian 
A quantum model of a real scalar field
《Science China Mathematics》1997年第6期633-637,共5页吴宁 阮图南 
Project supported in part by T.D.Lee's NNSF Grant,National Natural Science Foundation of China,Foundation of Ph.D Directing Programme of Chinese Universities and the Chinese Academy of Sciences.
A quantum model of a real scalar field with local operator gauge symmetry is discussed. In the localized theory, in order to keep the local operator gauge symmetry, an operator gauge potential Bμ is needed. By combin...
关键词:CANONICAL quantization condition HERMITICITY REQUIREMENT operator GAUGE symmetry MICROSCOPIC CAUSALITY theorem. 
算符(-iα/αx)~3的Hermiticity问题
《郑州大学学报(自然科学版)》1997年第1期43-46,共4页李玉晓 刘全慧 刘力 
尖劈势阱中电子Hamiltonian算符的本征函数集合能张开一个完备的Hilbert空间.本文研究了在该空间中算符(-ix)3的Hermiticity问题,结果表明,对于该体系。
关键词:算符 尖劈 势阱 量子力学 Hermite算符 H问题 
New quantum mechanical model
《Science China Mathematics》1996年第10期1106-1111,共6页吴宁 阮图南 
Project supported in part by the Foundation of Ph.D.Directing Program of Chinese University,Prof.T.D.Lee's NNSC Grant;the National Natural Science Foundation of China and grant LWTV/1298 of Chinese Academy of Sciences.
A quantum mechanical model with one bosonic degree of freedom is discussed in detail. Conventionally, when a quantum mechanical model is constructed, one must know the corresponding classical model. And by applying th...
关键词:operator-valued GAUGE transformation CANONICAL QUANTIZATION condition HERMITICITY REQUIREMENT OPERATOR GAUGE potential. 
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