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题名: GROUP-THEORETICAL FORMALISM OF QUANTUM-MECHANICS AND CLASSICAL-QUANTUM CORRESPONDENCE
作者: GU, Y
刊名: SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
出版日期: 1992
卷号: 35, 期号:2, 页码:200-210
学科分类: Physics
通讯作者: GU, Y , LANZHOU UNIV,DEPT PHYS,LANZHOU 730000,PEOPLES R CHINA.
部门归属: ACAD SINICA,INST THEORET PHYS,BEIJING 100080,PEOPLES R CHINA
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.
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/311006/12191
Appears in Collections:理论物理所1978-2010年知识产出_期刊论文

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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.
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