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Solution of Free-Particle Radial Dependant Schrödinger Equation Using He's Homotopy Perturbation Method

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  • A. A. Mahasneh
  • A. M. Al-Qararah

Abstract

Homotopy perturbation method (HPM) is one of the newest analytical methods to solve linear and nonlinear differential equations. In this paper, HPM is used to formulate a new analytic solution of free-particle radial dependent Schrödinger equation. In contrast to the traditional perturbation methods, the homotopy method does not require a small parameter in the equation. In this method, according to the homotopy technique, a homotopy with an embedding parameter  is constructed, and the embedding parameter is considered as a small parameter. The obtained result shows the evidence of simplicity, usefulness, and effectiveness of the homotopy perturbation method for obtaining approximate analytical solutions for the radial dependent Schrödinger equation.

Suggested Citation

  • A. A. Mahasneh & A. M. Al-Qararah, 2010. "Solution of Free-Particle Radial Dependant Schrödinger Equation Using He's Homotopy Perturbation Method," Modern Applied Science, Canadian Center of Science and Education, vol. 4(8), pages 1-24, August.
    • Handle: RePEc:ibn:masjnl:v:4:y:2010:i:8:p:24
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    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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