强磁场中超冷费米气体的相对论效应  

Relativistic effect of ultracold Fermi gas in a strong magnetic field

作　　者：门福殿[1] 何晓刚[1] 周勇[1] 宋新祥[1] 

机构地区：[1]中国石油大学(华东)物理科学与技术学院,东营257061

出　　处：《物理学报》2011年第10期50-53,共4页Acta Physica Sinica

基　　金：山东省自然科学基金(批准号:ZR2010AL027)资助的课题~~

摘　　要：由单粒子的弱相对论能谱及泊松公式,导出强磁场中费米气体的热力学势函数.在此基础上,运用热力学关系求解低温条件下系统的统计特征量的解析式,分析相对论效应对统计性质的影响机理.研究表明,磁场愈强,相对论效应愈明显.相对论效应引发的单调项与相应的振荡项的振幅相比,对总能,单调项远大于振幅;对化学势及磁矩,单调项与振幅几乎同一量级.Based on the single particle energy spectrum of weak relativity and Poisson＇s formula,the thermodynamic potential function of Fermi gas in a strong magnetic field is derived.Furthermore,by using the thermodynamic relationships,the analytical expressions of statistic characteristic quantities of the system at low temperatures are obtained,and the influence mechanism of relativistic effect on the statistic properties of the system is analysed.It is shown that the relativistic effect becomes more significant with the magnetic field increasing.Compared with the corresponding oscillating amplitude,the monotonic term,which is caused by the relativistic effect,is much larger than the amplitude for the total energy,however,for the chemical potential and magnetic moment,they are almost of the same order.

关 键 词：强磁场 费米气体 相对论效应 

分 类 号：O414.1[理学—理论物理]