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

Abstract

In this paper, we solved the Schrodinger 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 theta -> 0, we observed that the NC space converts to the commutative space.