Title : ( Application of Runge-Kutta Numerical Methods to Solve the Schrodinger. Equation for Hydrogen and Positronium Atoms )
Authors: A. Binesh , A. A. Mowlavi , Hadi Arabshahi ,
Full TextAbstract
In this paper, the radial Schrödinger equation for central Coulomb potential using numerical Runge-Kutta has been solved. Energy eigenvalues for hydrogen and positronium bound systems is derived - 13.6056 eV and – 6.803 eV, respectively. Numerical results of ground state modes of wave functions for hydrogen and positronium R(r) and the presence probability function has been presented. These results are in good agreement with analytical calculations of the hydrogen atom in modern physics and quantum mechanics. Therefore, numerical methods can be very useful and effective in solving physical problems.
Keywords
, wave equation; Runge, Kutta method; energy.
@article{paperid:1019257,
author = {A. Binesh and A. A. Mowlavi and Arabshahi, Hadi},
title = {Application of Runge-Kutta Numerical Methods to Solve the Schrodinger. Equation for Hydrogen and Positronium Atoms},
journal = {International Journal of Research and Reviews in Applied Sciences},
year = {2010},
volume = {5},
number = {3},
month = {December},
issn = {2076-734X},
pages = {289--293},
numpages = {4},
keywords = {wave equation; Runge-Kutta method; energy.},
}
%0 Journal Article
%T Application of Runge-Kutta Numerical Methods to Solve the Schrodinger. Equation for Hydrogen and Positronium Atoms
%A A. Binesh
%A A. A. Mowlavi
%A Arabshahi, Hadi
%J International Journal of Research and Reviews in Applied Sciences
%@ 2076-734X
%D 2010
