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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
Source PublicationINTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
KeywordMechanics Particles Systems
AbstractBecause 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.
1993
ISSN0020-7748
Volume32Issue:1Pages:51-62
Subject AreaPhysics
Indexed BySCI
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/12112
Collection理论物理所科研产出_SCI论文
Corresponding AuthorBAO, D , CCAST WORLD LAB,POB 8730,BEIJING 100080,PEOPLES R CHINA.
Recommended Citation
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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