Gauge Transformation and Constraint Induced Operator Ordering for Charged Rigid Planar Rot

Gauge Transformation and Constraint Induced Operator Ordering for Charged Rigid Planar

Rotator in Uniform Magnetic Field

LAI Mei-Mei;WANG Xin;XIAO Yan-Ping;LIU Quan-Hui

【期刊名称】《理论物理通讯（英文版）》 【年(卷),期】2006(046)011

【摘要】When the motion ofa particle is constrained, excess terms exist using hermitian form of Cartesian momentum pi (I=1,2,3) in usual kinetic energ y (1/2μ) ∑ pi2, and the correct kinetic energy turns out to be (1/2μ) ∑ 1/ fipi fipi, where fi are dummy factors in classical mechanics and nontrivial in quantum mechanics. In this paper the explicit form of the dummy functions fi is given for a charged rigid planar rotator in the uniform magnetic field with different gauge chosen. Under different gauges, we have different sets of dummy factors. It means that these factors do not have direct observable effect. 【总页数】2页(843-844)

【关键词】operator ordering;gauge transformation;quantum mechanics 【作者】LAI Mei-Mei;WANG Xin;XIAO Yan-Ping;LIU Quan-Hui

【作者单位】School for Theoretical Physics and Department of Applied Physics,Hunan University,Changsha,410082,China;School for Theoretical Physics

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University,Changsha,410082,China;School for Theoretical Physics and