Three-body systems with Coulomb interaction. Bound and quasi-bound S -states

Abstract
A simple Mathematica (versions 7–9) code for computing S -state energies and wave functions of three-particles systems is presented. The relevant systems include two-electron atoms, molecular electronic ions and mesomolecular exotic species. In addition to the bound S -states the code enables one to compute the positions and widths of the lowest resonance, quasi-bound, states. The elegant technique derived from the classical papers of Pekeris is applied. The basis functions are composed o...

Title of program: ThreeBSCbSSR
Catalogue Id: AEPU_v1_0

Nature of problem
The Schrödinger equation for three-body system has not been solved analytically. Approximate methods must be applied in order to obtain the wave functions or other physical attributes from quantum mechanical calculations.

Versions of this program held in the CPC repository in Mendeley Data
AEPU_v1_0; ThreeBSCbSSR; 10.1016/j.cpc.2013.06.013

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)

摘要
本文提供了一段用于计算三体系统S态能级与波函数的简易Mathematica（7至9版本）代码。所涉研究系统涵盖双电子原子、分子电子离子及介分子奇异物种。除束缚S态外，该代码还可用于计算最低共振准束缚态的位置与宽度。本程序采用源自Pekeris经典论文的精巧计算方法，其基函数由……（原文此处未完整给出）

程序名称：ThreeBSCbSSR
目录编号：AEPU_v1_0

问题性质
三体系统的薛定谔方程（Schrödinger equation）尚无解析解，因此必须采用近似方法，方能通过量子力学计算获取波函数及其他物理属性。

Mendeley数据集中CPC库内的本程序版本
AEPU_v1_0; ThreeBSCbSSR; 10.1016/j.cpc.2013.06.013

本程序源自贝尔法斯特女王大学馆藏的CPC程序库（1969-2019）