锂原子低激发态精细结构的精密计算

项目名称： 锂原子低激发态精细结构的精密计算

项目编号： No.11274246

项目类型： 面上项目

立项/批准年度： 2013

项目学科： 数理科学和化学

项目作者： 乔豪学

作者单位： 武汉大学

项目金额： 70万元

中文摘要： 本项目以高精度求解锂原子低激发态的精细结构为研究目标.在锂原子能量本征方程的求解中，我们采用传统的微扰论方法.首先将原子核与电子之间、以及电子与电子之间的相互作用视为经典电磁相互作用，在非相对论近似下得到原子的高精度能级和波函数，然后将相对论效应、QED修正以及质量极化项视为微扰，利用非相对论波函数计算各项修正，从而得到锂原子低激发态的精细结构。在非相对论波函数的计算过程中，我们采用变分法，其变分基组将采用Hylleraas基展开方法。计算结果将于国际上精密谱实验进行对比，争取理论与实验的相符程度达到在几十KHz量级水平，从而在深层次水平上验证束缚态QED理论。本项目的完成将为进一步研究高阶相对论和QED修正，并最终从锂原子的精细结构导出精度在 ppb (parts per billion)水平上的精细结构常数打下必要的基础。

中文关键词： 锂原子；激发态；精细结构；精密计算；黑体辐射

英文摘要： The research target is to obtain high precision results about fine structure of low excited states of atomic lithium. With using traditional perturbation method ,the energy eigen equation of atomic lithium would be resolved. The Coulomb interaction between nucleus and electrons,between electron and electron can all be considered classical electromagnetic interactions,and then in relatively approximation, the atomic high precision energy levels and wave functions can be obtained. The relativistic effect, QED correction and mass polarization items are regard as perturbation, by using non relativistic wave function to calculate the correction, the fine structure of low excited states for atomic lithium can be found out. In order to calculate the nonrelativistic wave function with high precision, we use the variational method, the Hylleraas functions will be used as the variational basis sets. Theoretic results will be compared from the international high precision spectroscopy experiments, the agreement of theory and experiment will be obtained extent in dozens of KHz magnitude level, so the QED theory of bound states is verificated in a deep level. Completion of this project will provide further study of high order relativistic and QED correction, and finally getting fine structure constant with ppb precision f

英文关键词： atomic lithium；excited states；fine structure；high precision calculations；black-body radiation