Journal of Advances in Applied Physics
Pseudopotential for Many-Electron Atoms
Download PDF (226.6 KB) PP. 20 - 25 Pub. Date: May 1, 2020
Author(s)
- Eric Ouma Jobunga*
Department of Mathematics and Physics, Technical Univeristy of Mombasa, P. O. Box 90420-80100, Mombasa, Kenya
Abstract
Keywords
References
[1] N. M. Hugenholtz, “Quantum theory of many-body systems,” Reports on Progress in Physics, vol. 28, no. 1, p. 201, 1965.
[2] S. Verdebout, P. Rynkun, P. Jönsson, G. Gaigalas, C. F. Fischer, and M. Godefroid, “A partitioned correlation function interaction approach for describing electron correlation in atoms,” Journal of Physics B: Atomic, Molecular and Optical Physics, vol. 46, no. 8, p. 085003, 2013.
[3] W. Tobocman, “Many-body perturbation theory,” Phys. Rev., vol. 107, pp. 203–208, Jul 1957.
[4] D. Cremer, “From configuration interaction to coupled cluster theory: The quadratic configuration interaction approach,” Wiley Interdisciplinary Reviews: Computational Molecular Science, vol. 3, no. 5, pp. 482–503, 2013.
[5] W. Kohn and L. J. Sham, “Self-consistent equations including exchange and correlation effects,” Phys. Rev., vol. 140, pp. A1133–A1138, Nov 1965.
[6] C. J. Cramer, Essentials of Computational Chemistry. Chichester: John Wiley and Sons, Inc, 2002.
[7] E. A. Hylleraas, “Neue berechnung der energie des heliums im grundzustande, sowie des tiefsten terms von ortho-helium,” Zeitschrift für Physik, vol. 54, no. 5, pp. 347–366, 1929.
[8] M. L. Cohen, “Application of the pseudopotential model to solids,” Ann. Rev. Mater. Sci, vol. 14, pp. 119–144, 1984.
[9] J. J. Hellmann, “A new approximation method in the problem of many electrons,” J. Chem Phys, vol. 3, p. 61, 1935.
[10] J. Callaway and P. S. Laghos, “Application of the pseudopotential method to atomic scattering,” Physical Review, vol. 187, no. 1, pp. 192–200, 1969.
[11] E. O. Jobunga, “Alternative multipole expansion of the electron correlation term,” arXiv, p. 1704.02009, 2017.
[12] E. O. Jobunga and S. O. Okeyo, “Mutipole expansion of the powers of a cosine of a function,” Research Gate, Preprint (DOI: 10.13140/RG.2.2.12877.08166/1), 2018.
[13] E. O. Jobunga, “Partitioning of the electron correlation energy,” arXiv, p. 1708.04061, 2017. 14. B. H. Bransden and C. J. Joachain, Physics of atoms and molecules. Essex: Longman Scientific & Technical, 1990. 15. NIST, “Physical data for atoms and ions,” http://www.physics.nist.gov/PhysRefData/Handbook/Tables, 2020. 16. Angelfire, “Lithium configuration and energies,” http://www.angelfire.com, 2017.