New Nonrelativistic Quarkonium Masses in the Two-Dimensional Space-Phase using Bopp’s shift Method and Standard Perturbation Theory

Author(s) Abdelmadjid Maireche

Laboratory of Physical and Chemical Materials, Physics Department, Sciences Faculty, University of M’sila, Algeria

Issue Volume 9, Year 2017, Number 6
Dates Received 11 July 2017; revised manuscript received 15 November 2017; published online 24 November 2017
Citation Abdelmadjid Maireche, J. Nano- Electron. Phys. 9 No 6, 06006 (2017)
DOI 10.21272/jnep.9(6).06006
PACS Number(s) 11.10.Nx, 32.30 – r, 03.65 – w
Key words Schrödinger equation (2) , Star product (9) , Bopp’s shift method (5) , Extended Cornel potential.
Annotation In present work, the exact analytical bound-state solutions of modified Schrödinger equation (MSE) with modified extended Cornel potential (MECP) have been presented using both Bopp’s shift method and standard perturbation theory in the noncommutative two dimensional real space and phase (NC-2D: RSP), we have also constructed the corresponding noncommutative Hamiltonian operator which containing two new terms, the first one is modified Zeeman effect and the second is spin-orbital interaction. The theoretical results show that the automatically appearance for both spin-orbital interaction and modified Zeeman effect leads to the degenerate to energy levels to sub states.