受限的弱相互作用费米气体化学势的研究

Study of Chemical Potential of a Confined Fermi Gas with Weak Interaction

根据平均场近似——Hartee-Fock理论导出了弱相互作用费米气体所满足的薛定谔方程,并通过分离变量法求解得到能量本征值。在此基础上,采用数值求解研究受限的弱相互费米气体的化学势性质,探讨了粒子间相互作用对化学势的影响。

Sehrodinger equation of the weak interaction Fermi gas is educed by using mean field theory - Hartee - Fock theory. The energy Eigenvalue is derived by using separation of variables. Based on the derived expressions, the chemical potential of a confined Fermi gas with weak interaction is studied under numerical solution. The effects of interaction between particles on the chemical potential are discussed.