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<i>G</i>-Function Solutions for Schrödinger Equation in Cylindrical Coordinates System
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
- 1 Nuclear Science Research School, NSTRI, Tehran, Iran;School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Selangor, Malaysia
- 2 School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Selangor, Malaysia
Applied Mathematics·Volume 05 (2014)·Pages 342–346·Published 7 February 2014·DOI10.4236/am.2014.53035
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Abstract
In this paper , the Schr ? dinger equation is solved by Mod ified sepa ration 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.
KeywordsMeijer’s <i>G</i>-FunctionPartial Differential EquationModified Separation of VariablesSchrödinger Equation
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