Analysis and algorithms for the computation of the excited states of helium

作者：Ding, Zhonghai^*; Chen, Goong

来源：Journal of Computational and Applied Mathematics, 2011, 235(8): 2041-2062.

DOI：10.1016/j.cam.2010.10.004

• Helium atom
• Schrodinger equation
• Excited states
• Dimensional scaling
• Numerical algorithm

In this paper, we study a dimensionally scaled helium atom model for excited states of helium. The mathematical analysis of the corresponding effective energy potential is presented. Two simple numerical algorithms are developed for the computation of the excited states of helium. Comparison between our numerical results and those in the existing literature is given to indicate the accuracy and efficiency of the proposed algorithms.

• 出版日期2011-2-15