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作 者:李玉山[1,2]
机构地区:[1]菏泽学院物理系,山东菏泽274015 [2]北京科技大学物理系,北京100083
出 处:《低温物理学报》2014年第2期104-108,共5页Low Temperature Physical Letters
基 金:Projected Supported by the Science and Technology Research Program for Colleges and Universities of Shandong Province,China(Grant No.J11LA52)~~
摘 要:采用半经典近似和数值求和方法,研究了简谐势阱和磁场约束下理想带电费米气体的磁性质,给出了该体系的热力学势、磁场强度和电流密度随外磁场的解析表达式,并分析了约束势阱和磁场对体系的影响.计算结果表明,准经典近似在处理弱场时,与数值计算结果能够得到很好地吻合.该方法和结论可通过相应参量代换过渡到其它形式的受限量子气体.We investigate the magnetic properties of charged ideal Fermi gases in a harmonic trap under a magnetic field through semi-classical approximation and numerical method and derive the analytical expressions of thermody- namic potential, magnetization and current density. And then, we analyze the influences of trapped potential and magnetic field on the system. The results suggested that the semi-classical approximation has a well agreement with numerical calculation in dealing with the region of weak magnetic field. The method and conclusions can be extended to other trapped quantum gases with corresponding transformatior.
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