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 |
URL标识 | 查看原文 |
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. |
推荐引用方式 GB/T 7714 | 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. |
个性服务 |
查看访问统计 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论