弱相互作用费米气体的相对论顺磁性

Relativistic paramagnetism of a weakly interacting Fermi gas

通过考虑单粒子的相对论能量并且应用量子统计方法,研究弱磁场中弱相互作用费米气体的相对论顺磁性,求解相对论性的最可几磁化率及平均磁化率,讨论相对论效应对最可几磁化率的影响,给出相对论性的粒子数的临界值.结果显示,与非相对论情况比较,当T>>T_F时,相对论情况下的最可几磁化率和粒子数的临界值都没有变化.当T<<T_F时,相对论效应使系统呈现顺磁性容易,而且相对论效应增加磁化率,同时也放大了相互作用对磁化率的影响.

By considering strict relativistic energy of single particle and using the methods of quantum statistics,the relativistic paramagnetism of a weakly interacting Fermi gas in a weak magnetic filed is studied, and the relativistic most probable paramagnetic susceptibility as well as the average magnetic susceptibility of the system are solved. On the basis, the influences of relativistic effect on the most probable paramagnetic susceptibility of the system are discussed, and the relativistic critical value of particle number is given. It is shown that, comparing with nonrelativistic situation,when T〉〉TF, the relativistic most probable magnetic susceptibility and the relativistic critical value of particle number have not changed. When T〈〈TF, the relativistic effects make the system display paramagnetism easily and susceptibility increase, but the relativistic effects also amplified the impact of the interaction on the magnetic susceptibility.