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The Simplest Meijer's G-Function G0,11,0 as the Radial Functions of the Hydrogen Atom

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Abstract:

The purpose of this paper is to show that how the sub-family of Meijer's G-functions, G0,11,0, deduces all the radial states of the Hydrogen atom. By introducing two postulates and using operator method similar with the method used for the simple harmonic oscillator we obtain all the excited radial states of the Hydrogen atom from the ground state. It is just needed to use two properties of Meijer's G-functions.

Info:

Periodical:
The Bulletin of Society for Mathematical Services and Standards (Volume 14)
Pages:
28-32
Citation:
A. Pishkoo "The Simplest Meijer's G-Function G0,11,0 as the Radial Functions of the Hydrogen Atom", The Bulletin of Society for Mathematical Services and Standards, Vol. 14, pp. 28-32, 2015
Online since:
Jun 2015
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References:

V. Kiryakova, Generalized Fractional Calculus and Applications, Longman, Harlow, UK, (1994).

A. Pishkoo, M. Darus, Meijer's G-functions (MGFs) in Micro- and Nano-structures,. Journal of Computational and Theoretical Nanoscience, vol. 10, pp.2478-2483, October, (2013).

A. Pishkoo, M. Darus, "G-function Solutions for Schrodinger Equation in Cylindrical Coordinates System, Journal of Applied mathematics, vol. 5, pp.342-346, February, (2014).

A. Pishkoo, M. Darus, Some Applications of Meijer G-functions as Solutions of Differential Equations in Physical Models, Journal of Mathematical Physics, Analysis, Geometry, vol. 3, issue 3, pp.379-391, (2013).

A. Pishkoo, M. Darus, G-function Solutions for Diffusion and Laplace's Equations, Journal of Advances in Mathematics, Vol. 4, issue 1, pp.359-365, (2013).

L. Andrews, Special functions for engineers and applied mathematicians, Macmillan, (1985).

Y. Luck, The Special Functions and Their Approximations, Complex Variables, New York: Academic press, (1969).

R. Askey, Meijer G-function, Cambridge: Cambridge University Press, (2010).

A. Klimyik, A. Meijer G-function, Berlin: Springer, (2001).

Sara M. Mcmurry, Quantum Mechanics, Addison-Wesley Publishing Company Inc. (1994).

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