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GROUP-THEORETICAL FORMALISM OF QUANTUM-MECHANICS AND CLASSICAL-QUANTUM CORRESPONDENCE
GU, Y; GU, Y , LANZHOU UNIV,DEPT PHYS,LANZHOU 730000,PEOPLES R CHINA.
1992
发表期刊SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN1001-6511
卷号35期号:2页码:200-210
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.
部门归属ACAD SINICA,INST THEORET PHYS,BEIJING 100080,PEOPLES R CHINA
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/311006/12191
专题1978-2010年知识产出
通讯作者GU, Y , LANZHOU UNIV,DEPT PHYS,LANZHOU 730000,PEOPLES R CHINA.
推荐引用方式
GB/T 7714
GU, Y,GU, Y , LANZHOU UNIV,DEPT PHYS,LANZHOU 730000,PEOPLES R CHINA.. 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,&GU, Y , LANZHOU UNIV,DEPT PHYS,LANZHOU 730000,PEOPLES R CHINA..(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,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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