G-Function Solutions for Schrödinger Equation in Cylindrical Coordinates System

Amir Pishkoo, Maslina Darus

Nuclear Science Research School, NSTRI, Tehran, Iran;School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Selangor, Malaysia.
School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Selangor, Malaysia.

DOI: 10.4236/am.2014.53035                

Abstract

In this paper, the Schr?dinger equation is solved by Modified separation of variables (MSV) method suggested by Pishkoo and Darus. Using this method, Meijer’s G-function solutions are derived in cylindrical coordinate system for quantum particle in cylindrical can. All elementary functions and most of the special functions which are the solution of extensive problems in physics and engineering are special cases of Meijer’s G-functions.

Keywords

Meijer’s G-Function; Partial Differential Equation; Modified Separation of Variables; Schrödinger Equation

Conflicts of Interest

The authors declare no conflicts of interest.

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