Homotopy perturbation method, higher dimensions, approximation methods

Journal Title, Volume, Page:

Romanian J. Physics

Year of Publication:

2013

Authors:

Sami M. AL-Jaber

Department of Physics, An-Najah National University, Nablus, Palestine.

Current Affiliation:

Professor of Physics

Preferred Abstract (Original):

Homotopy Perturbation Method (HPM) is applied to formulate analytic solution of the

free particle radial dependent Schrödinger equation in N-dimensional space. This

method is based on the construction of a homotopy with an embedding parameter

dÎ0, 1 . The method shows its effectiveness, usefulness, and simplicity for obtaining

approximate analytic solution. In addition, some interesting cases are analyzed and the

effect of space dimension on the solution is pointed out.

An-Najah Staff