Research Journal of Applied Sciences

Year: 2010
Volume: 5
Issue: 5
Page No. 315 - 319

Application of Runge-Kutta Numerical Methods to Solve the Schrodinger Equation for Hydrogen and Positronium Atoms

Authors : A.A. Mowlavi, A. Binesh and H. Arabshahi

Abstract: In this study, the radial Schrodinger equation for central coulomb potential using numerical Runge-Kutta has been solved. Energy eigenvalues for hydrogen and positronium bound systems is derived -13.6056 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 |rR(r)|2has 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.

How to cite this article:

A.A. Mowlavi, A. Binesh and H. Arabshahi, 2010. Application of Runge-Kutta Numerical Methods to Solve the Schrodinger Equation for Hydrogen and Positronium Atoms. Research Journal of Applied Sciences, 5: 315-319.

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