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

S. Sargolzaeipor

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

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H. Hassanabadi

http://orcid.org/0000-0001-7487-6898

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

E-mail Address: h.hasanabadi@shahroodut.ac.ir

Corresponding author.

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, and

W. S. Chung

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

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https://doi.org/10.1142/S0217732319501839Cited by:4 (Source: Crossref)

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 $𝜃 \to 0$ , we observed that the NC space converts to the commutative space.

Keywords:

PACS: 03.65.w, 02.30.Gp, 03.65.Ge, 03.65.Pm, 03.65.Ca

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