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CIRCLE-MINUS-STRUCTURES IN QUANTUM-THEORY IN VIEW OF GEOMETRIC-QUANTIZATION
BAO, D; ZHU, ZY; BAO, D , CCAST WORLD LAB,POB 8730,BEIJING 100080,PEOPLES R CHINA.
1993
发表期刊INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
ISSN0020-7748
卷号32期号:1页码:51-62
摘要Because the various topological effects (theta-structures) such as the Aharonov-Bohm effect, the anyon system, and non-Abelian statistics are pure quantum effects and should emerge naturally in a quantization procedure, we systematically discuss a general quantization scheme in a geometric formalism where wave-functions are smooth sections of some vector bundles over configuration space. Following ideas of L. Schulman, M. Laidlaw, J. S. Dowker, and others, we choose those vector bundles to be the associated bundles of the universal covering space of configuration space. The theta-structures are shown to result from the fact that various vector bundles can be built over the universal covering space, which are labeled by the nonequivalent irreducible unitary representations of the fundamental group of configuration space. A flat connection description of theta-structures is also possible, owing to Milnor's theory.
部门归属ACAD SINICA,INST THEORET PHYS,BEIJING 100080,PEOPLES R CHINA
关键词Mechanics Particles Systems
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/311006/12112
专题理论物理所SCI论文
通讯作者BAO, D , CCAST WORLD LAB,POB 8730,BEIJING 100080,PEOPLES R CHINA.
推荐引用方式
GB/T 7714
BAO, D,ZHU, ZY,BAO, D , CCAST WORLD LAB,POB 8730,BEIJING 100080,PEOPLES R CHINA.. CIRCLE-MINUS-STRUCTURES IN QUANTUM-THEORY IN VIEW OF GEOMETRIC-QUANTIZATION[J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS,1993,32(1):51-62.
APA BAO, D,ZHU, ZY,&BAO, D , CCAST WORLD LAB,POB 8730,BEIJING 100080,PEOPLES R CHINA..(1993).CIRCLE-MINUS-STRUCTURES IN QUANTUM-THEORY IN VIEW OF GEOMETRIC-QUANTIZATION.INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS,32(1),51-62.
MLA BAO, D,et al."CIRCLE-MINUS-STRUCTURES IN QUANTUM-THEORY IN VIEW OF GEOMETRIC-QUANTIZATION".INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS 32.1(1993):51-62.
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