The Exact Nonrelativistic Energy Eigenvalues for Modified Inversely Quadratic Yukawa Potential Plus Mie-type Potential

Author(s) Abdelmadjid Maireche

Laboratory of Physics and Material Chemistry, Physics department, Sciences Faculty, University of M'sila-M’sila, Algeria

Issue Volume 9, Year 2017, Number 2
Dates Received 05 February 2017; revised manuscript received 25 April 2017; published online 28 April 2017
Citation Abdelmadjid Maireche, J. Nano- Electron. Phys. 9 No 2, 02017 (2017)
DOI 10.21272/jnep.9(2).02017
PACS Number(s) 11.10.Nx, 32.30 – r, 03.65 – w, 03.65.Ca, 03.65.Ge
Key words Inversely quadratic Yukawa potential plus Mie-type potential, Noncommutative space (10) , Noncommutative phase and Bopp’s shift method.
Abstract The modified theories of noncommutative quantum mechanics have engrossed much attention in the last decade, especially its application to the fundamental three equations: Schrödinger, Klein-Gordon and Dirac equations. In this contextual exploration, we further investigate for modified quadratic Yukawa potential plus Mie-type potential (MIQYM) in the framework of modified nonrelativistic Schrödinger equation (MSE) using generalization of Bopp’s shift method and standard perturbation theory instead of using directly the generalized Moyal-Weyl product method, we obtained modified energy eigenvalues and corresponding modified anisotropic Hamiltonian operator in both three dimensional noncommutative space and phase (NC-3D: RSP) symmetries.