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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:235

Article

Ding, Zhonghai¹  Chen, Goong^2,3 

[1] Univ Nevada, Dept Math Sci, Las Vegas, NV 89154 USA

[2] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

[3] Texas A&M Univ, Inst Quantum Studies, College Stn, TX 77843 USA

关键词: Helium atom;    Schrodinger equation;    Excited states;    Dimensional scaling;    Numerical algorithm;   

DOI  :  10.1016/j.cam.2010.10.004

来源: Elsevier

【 摘 要 】

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. (C) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

Free