Unified treatment of electric multipole transition radial matrix elements using radial parts of STO and complete orthonormal sets of 蠄^伪-ETO

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• 作者：I.I. Guseinov^a ; B.A. Mamedov^b ; ^{bamamedov@yahoo.com}
• 关键词：Radial integrals ; Rydberg states of hydrogen-like atoms ; Hydrogenic oscillator strengths ; Transition moments ; Einstein coefficients
• 刊名：Radiation Physics and Chemistry
• 出版年：2012
• 期刊代码：68_0969806x
• 类别：ph
• 出版时间：July, 2012
• 卷：81
• 期：7
• 页码：776-779
• 文件大小：141 K

摘要

A new method is proposed for evaluating electric multipole transition radial (EMTR) matrix elements of the hydrogen-like atoms using the expansion formulae suggested by one of the authors for the radial parts of 蠄^伪-exponential type orbitals (蠄^伪-ETO) in terms of radial parts of Slater type orbitals (STO), where 伪 is the frictional quantum number (鈭掆垶<伪鈮?). A comparative study is carried out between the proposed analytical computations and other numerical simulations. The effectiveness and accuracy of the obtained analytical expressions are demonstrated by calculation of concrete cases.