Spin-1/2 Fermion Gas in One-Dimensional Harmonic Trap with Attractive Delta Function Interaction
Ya-Hui Wang1**, Zhong-Qi Ma2
1School of Physics and Telecommunication Engineering, Shaanxi Sci-Tech University, Hanzhong 723000 2Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049
Abstract:In terms of the Thomas–Fermi method, we solve the ground state energy of the $N$-body 1D harmonically trapped spin-1/2 fermion gas with the attractive $\delta$-function interaction in the limit $N \to \infty$.