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含Hopf项和Maxwell-Chern-Simons项O(3)非线性σ模型的分数自旋和分数统计性质
Fractional spin in the O(3) nonlinear sigma model with Hopf and Maxwell-Chern-Simons terms
【摘要】 研究了 (2 +1)维时空中含Hopf项和Maxwell_Chern_Simons (MCS)项的非线性σ模型的分数自旋性质 .根据约束Hamilton系统的Faddeev_Senjanovic(FS)路径积分量子化方案 ,对该系统进行量子化 ,由量子Noether定理给出了量子守恒角动量 ,说明了在量子水平上该系统仍具有分数自旋的性质
【Abstract】 The property of fractional spin of the O (3) nonlinear sigma model with Hopf and Maxwell-Chern-Simons (MCS) terms is studied. According to the rule of path integral quantization for a constrained Hamilton system in Faddeev-Senjanovic scheme,the system is quantized. Based on the quantal Noether theorem,we get the quantal conserved angular momentum,and the fractional spin at the quantum level of this system is presented.
【关键词】 约束Hamilton系统;
分数自旋;
O(3)σ模型;
【Key words】 constrained Hamiltonian system; fractional spin; O(3) nonlinear σ model;
【Key words】 constrained Hamiltonian system; fractional spin; O(3) nonlinear σ model;
【基金】 北京市自然科学基金(批准号 :1942 0 0 5 )资助的课题~~
- 【文献出处】 物理学报 ,Acta Physica Sinica , 编辑部邮箱 ,2005年01期
- 【分类号】O413.1
- 【被引频次】5
- 【下载频次】82