Study of Schrödinger equation in terms of Heun functions in the commutative vs. non-commutative spaces

Author:

Sargolzaeipor S.1,Hassanabadi H.1ORCID,Chung W. S.2

Affiliation:

1. Faculty of Physics, Shahrood University of Technology, P. O. Box 3619995161-316, Shahrood, Iran

2. Department of Physics and Research Institute of Natural Science, College of Natural Science, Gyeongsang National University, Jinju 660-701, Korea

Abstract

In this paper, we solved the Schrödinger equation in the commutative and non-commutative (NC) spaces under the presence of magnetic field. In other words, we obtained the energy spectrum and wave functions in terms of Heun functions. When we considered the case [Formula: see text], we observed that the NC space converts to the commutative space.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

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