Excited states of helium atom in a strong magnetic field using variational Monte Carlo technique

被引:0
|
作者
S. Doma
M. Shaker
A. Farag
F. El-Gammal
机构
[1] Alexandria University,Mathematics Department, Faculty of Science
[2] Tanta University,Mathematics Department, Faculty of Science
[3] Menofia University,Mathematics Department, Faculty of Science
来源
Indian Journal of Physics | 2018年 / 92卷
关键词
Variational Monte Carlo method; Helium atom in a magnetic field; Total energy and derivative of total energy; 02.70.Uu; 31.15.–p;
D O I
暂无
中图分类号
学科分类号
摘要
Variational Monte Carlo method was employed to investigate the total energies of the excited states 210+\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$2^{1} \left( 0 \right)^{ + }$$\end{document}, 310+\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$3^{1} \left( 0 \right)^{ + }$$\end{document}, 110-\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$1^{1} \left( 0 \right)^{ - }$$\end{document}, 130+\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$1^{3} \left( 0 \right)^{ + }$$\end{document}, 130-\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$1^{3} \left( 0 \right)^{ - }$$\end{document}, 230+\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$2^{3} \left( 0 \right)^{ + }$$\end{document}, 11-1+\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$1^{1} \left( { - 1} \right)^{ + }$$\end{document} and 13-1+\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$1^{3} \left( { - 1} \right)^{ + }$$\end{document} of the helium atom. Strong magnetic field effect on the energy is investigated and illustrated graphically. The point of transition from the ground state to 13-1+\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$1^{3} \left( { - 1} \right)^{ + }$$\end{document} state was obtained and comparisons with previous works were introduced. The results concluded comply with the most recent, accurate and the exact values.
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页码:279 / 288
页数:9
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