Abstract
We obtain exact solutions of the 2D Schrodinger equation with the central potentials \(V (r) = ar^{2} + br^{-2} + cr^{-4}\) and \(V (r) = ar^{-1} + br^{-2}\) in a non-commutative space up to the first order of noncommutativity parameter using the power-series expansion method similar to the 2D Schrodinger equation with the singular even-power and inverse-power potentials, respectively, in commutative space. We derive the exact non-commutative energy levels and show that the energy is shifted to m levels, as in the Zeeman effect.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
