Energy-dependent effective interactions for dilute many-body systems
Energy-dependent effective interactions for dilute many-body systems
复制标题
DOI：
10.1103/physreva.75.013615
复制
发表时间：
2006-10
影响因子：
2.9
通讯作者：
A. Collin;P. Massignan;C. Pethick
中科院分区：
文献类型：
--
作者：
A. Collin;P. Massignan;C. Pethick
我们解决了确定多体系统能量平均场计算的有效二体相互作用的问题。我们证明了有效相互作用与相移成正比，并在准经典近似中证明了除了一对粒子之间的短程相互作用之外还存在俘获势时的结果。我们对与短程方阱和谐波捕获势相互作用的情况进行了数值计算，结果表明数值结果与解析表达式非常吻合。我们推导了一个广义的 Gross-Pitaevskii 方程，其中包括有效范围修正，并讨论了用于里德伯原子和分子计算的电子-原子有效相互作用的形式。
We address the issue of determining an effective two-body interaction for mean-field calculations of the energies of many-body systems. We show that the effective interaction is proportional to the phase shift and demonstrate this result in the quasiclassical approximation when there is a trapping potential in addition to the short-range interaction between a pair of particles. We calculate numerically energy levels for the case of an interaction with a short-range square well and a harmonic trapping potential and show that the numerical results agree well with the analytical expression. We derive a generalized Gross-Pitaevskii equation which includes effective range corrections and discuss the form of the electron-atom effective interaction to be used in calculations of Rydberg atoms and molecules.