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

作　　者：张莹[1] 李爱民[1] 李子平[1] 

机构地区：[1]北京工业大学数理学院,北京100022

出　　处：《物理学报》2005年第1期43-46,共4页Acta Physica Sinica

基　　金：北京市自然科学基金(批准号 :1942 0 0 5 )资助的课题~~

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 。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：分数自旋 量子化 (2+1)维 约束HAMILTON系统 路径积分 NOETHER定理 分数统计 模型 非线性 MCS 

分 类 号：O413.1[理学—理论物理]