箱势中有吸引相互作用的中性原子体系的非性线薛定谔方程的严格解  

Exact Solutions of the Nonlinear Schrodinger Equation for Neutral Atoms with Attractive Interactions in a Box Potential

作　　者：闫珂柱[1] 谭维翰[1] 

机构地区：[1]上海大学物理系,上海201800

出　　处：《量子光学学报》2000年第4期158-162,共5页Journal of Quantum Optics

基　　金：国家自然科学基金!(69778011)

摘　　要：给出了有吸引相互作用的中性原子体系的能级和波函数在一维箱势中的解析解和三维球方势中的数值解，分析了原子间的吸引作用对能级和波函数的影响，并与排斥相互作用情形的解进行了比较，讨论了吸引相互作用对玻色－爱因斯坦凝聚的影响。We present an analytic solution of the energy eigenvalue and wave function of neutral atoms with attractive interactions in a box potential. The effects of the attractive interactions on the energy levels and the wave functions analyzed. The solution for neutral atoms with attractive interactions in a spherical box potential has been obtained numerically also and the effects of attractive interactions on condensation are discussed.

关 键 词：非线性薛定谔方程 吸引相互作用 箱势 中性原子 量子光学 

分 类 号：O431.2[机械工程—光学工程]