TITLE:
G-Function Solutions for Schrödinger Equation in Cylindrical Coordinates System
AUTHORS:
Amir Pishkoo, Maslina Darus
KEYWORDS:
Meijer’s G-Function; Partial Differential Equation; Modified Separation of Variables; Schrödinger Equation
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.3,
February
7,
2014
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.