Quantum indistinguishability: Spin-statistics without relativity or field theory?
作者:
Michael Berry,
Jonathan Robbins,
期刊:
AIP Conference Proceedings
(AIP Available online 1900)
卷期:
Volume 545,
issue 1
页码: 3-15
ISSN:0094-243X
年代: 1900
DOI:10.1063/1.1337708
出版商: AIP
数据来源: AIP
摘要:
We review the formulation of quantum mechanics for identical spinning particles with wavefunctions that are singlevalued when permuted configurations are identified. The identification requires the spins to be smoothly permuted along with position variables, so spin is represented in a position-dependent ‘transported basis’, rather than the usual fixed basis. The simplest transported basis, constructed in terms of spins represented as pairs of commuting harmonic oscillators, gives the correct connection between spin and statistics. More complicated constructions can give the wrong exchange sign. The theory is generalized to incorporate additional properties such as isospin, color and strangeness. Some remarks about the relation between this approach and those based on relatitivity and/or field theory are given. ©2000 American Institute of Physics.
点击下载:
PDF
(709KB)
返 回