GROUP-THEORETICAL FORMALISM OF QUANTUM-MECHANICS AND CLASSICAL-QUANTUM CORRESPONDENCE
GU, Y , LANZHOU UNIV,DEPT PHYS,LANZHOU 730000,PEOPLES R CHINA.; GU, Y
刊名SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
1992
卷号35期号:2页码:200-210
ISSN号1001-6511
英文摘要This article presents a mathematical framework for group-theoretical formalism of quantum mechanics and discusses the geometric quantization of the classical systems associated with a Lie group. The classical-quantum correspondence is realized by identifying quantum observable algebra and its classical analogue with the set of distributions with compact supports on a Lie group and on the associated Lie algebra respectively, both having a convolution-type associative algebraic structure. The general mathematical constructs are illustrated by studying systems associated with the Heisenberg-Weyl group. It is shown that the exponential mapping from Heisenberg-Weyl algebra to the corresponding Lie group gives Weyl quantization.
学科主题Physics
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公开日期2012-08-29
内容类型期刊论文
源URL[http://ir.itp.ac.cn/handle/311006/12191]  
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GU, Y , LANZHOU UNIV,DEPT PHYS,LANZHOU 730000,PEOPLES R CHINA.
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GU, Y , LANZHOU UNIV,DEPT PHYS,LANZHOU 730000,PEOPLES R CHINA.,GU, Y. GROUP-THEORETICAL FORMALISM OF QUANTUM-MECHANICS AND CLASSICAL-QUANTUM CORRESPONDENCE[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,1992,35(2):200-210.
APA GU, Y , LANZHOU UNIV,DEPT PHYS,LANZHOU 730000,PEOPLES R CHINA.,&GU, Y.(1992).GROUP-THEORETICAL FORMALISM OF QUANTUM-MECHANICS AND CLASSICAL-QUANTUM CORRESPONDENCE.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,35(2),200-210.
MLA GU, Y , LANZHOU UNIV,DEPT PHYS,LANZHOU 730000,PEOPLES R CHINA.,et al."GROUP-THEORETICAL FORMALISM OF QUANTUM-MECHANICS AND CLASSICAL-QUANTUM CORRESPONDENCE".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 35.2(1992):200-210.
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