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

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

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...

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Veröffentlicht in:Journal of computational and applied mathematics 2011-02, Vol.235 (8), p.2041-2062
Hauptverfasser: Ding, Zhonghai, Chen, Goong
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Computation
Computational efficiency
Dimensional scaling
Exact sciences and technology
Excitation
Excited states
Helium
Helium atom
Helium atoms
Mathematical analysis
Mathematical models
Mathematics
Numerical algorithm
Numerical analysis
Numerical analysis. Scientific computation
Numerical linear algebra
Partial differential equations
Schrödinger equation
Sciences and techniques of general use
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Zusammenfassung: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.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2010.10.004