Spin-1/2 relativistic particle in a magnetic field in NC phase space  

作　　者：袁毅 李康 王剑华 陈驰一 

机构地区：[1]Shaanxi University of Technology [2]Hangzhou Teachers University

出　　处：《Chinese Physics C》2010年第5期543-547,共5页中国物理C（英文版）

基　　金：Supported by NSFC (10447005,10575026);Open Research of SKLSM (CHJG 200902);Abdus Sdam ICTP Trieste,Italy

摘　　要：This work provides an accurate study of the spin-l/2 relativistic particle in a magnetic field in NC phase space. By detailed calculation we find that the Dirac equation of the relativistic particle in a magnetic field in noncommutative space has similar behaviour to what happens in the Landau problem in commutative space even if an exact map does not exist. By solving the Dirac equation in NC phase space, we not only obtain the energy level of the spin-1/2 relativistic particle in a magnetic field in NC phase space but also explicitly offer some additional terms related to the momentum-momentum non-commutativity.This work provides an accurate study of the spin-l/2 relativistic particle in a magnetic field in NC phase space. By detailed calculation we find that the Dirac equation of the relativistic particle in a magnetic field in noncommutative space has similar behaviour to what happens in the Landau problem in commutative space even if an exact map does not exist. By solving the Dirac equation in NC phase space, we not only obtain the energy level of the spin-1/2 relativistic particle in a magnetic field in NC phase space but also explicitly offer some additional terms related to the momentum-momentum non-commutativity.

关 键 词：NC phase space Landau problem Dirac equation 

分 类 号：O572.2[理学—粒子物理与原子核物理]