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The classical limit of quantum mechanics and the Fejer sum of the Fourier series expansion of a classical quantity
Liu, QH; Liu, QH , Hunan Univ, Dept Phys, Changsha 410082, Peoples R China.
1999
发表期刊JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN0305-4470
卷号32期号:4页码:L57-L62
摘要In quantum mechanics, the expectation value of a quantity on a quantum state, provided that the state itself gives in the classical limit a motion of a particle in a definite path, in the classical limit goes over to a Fourier series form of the classical quantity. In contrast to this widely accepted point of view, a rigorous calculation shows that the expectation value on such a state in the classical limit exactly gives the Fejer arithmetic mean of the partial sums of the Fourier series.
部门归属Hunan Univ, Dept Phys, Changsha 410082, Peoples R China; Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China
学科领域Physics
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收录类别SCI
WOS记录号WOS:000078447100003
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被引频次:9[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/13195
专题理论物理所1978-2010年知识产出
通讯作者Liu, QH , Hunan Univ, Dept Phys, Changsha 410082, Peoples R China.
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Liu, QH,Liu, QH , Hunan Univ, Dept Phys, Changsha 410082, Peoples R China.. The classical limit of quantum mechanics and the Fejer sum of the Fourier series expansion of a classical quantity[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,1999,32(4):L57-L62.
APA Liu, QH,&Liu, QH , Hunan Univ, Dept Phys, Changsha 410082, Peoples R China..(1999).The classical limit of quantum mechanics and the Fejer sum of the Fourier series expansion of a classical quantity.JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,32(4),L57-L62.
MLA Liu, QH,et al."The classical limit of quantum mechanics and the Fejer sum of the Fourier series expansion of a classical quantity".JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 32.4(1999):L57-L62.
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