New Nonrelativistic Three-Dimensional Spectroscopic Studies of NMGECSC Potential in Presence of External Electric

Authors Abdelmadjid Maireche

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

Issue Volume 10, Year 2018, Number 4
Dates Received 30 January 2018; revised manuscript received 14 August 2018; published online 25 August 2018
Citation Abdelmadjid Maireche, J. Nano- Electron. Phys. 10 No 4, 04003 (2018)
PACS Number(s) 11.10.Nx, 32.30 – r, 03.65 – w
Keywords Three dimensional Schrödinger equation (2) , More general exponential cosine screened Coulomb po-tential, Noncommutative space-phase (3) , Star product and generalized Bopp’s shift method (2) .

In this work, we have investigated some aspects of the new more general exponential cosine screened Coulomb potential (NMGECSCP) in noncommutative three-dimensional real space-phase (NC: 3D-RSP) for one electron atoms through the generalized Bopp’s shift method in the framework of four infinitesimal parameters and  due to (space-phase) noncommutativity, by means of the solution of the deformed Schrödinger equation (DSE). The perturbation property of the spin-orbital Hamiltonian operator  and new Zeeman Effect operator   are investigated and the corresponding energy eigenvalues  and   are easily calculated. The new eigenvalues reduce to known results in quantum mechanics if .  We have shown also that, the global quantum group (GQG) of (NC: 3D-RSP) reduce to new subgroup symmetry of NC three-dimensional real space (NC: 3D-RS) under three-dimensional NMGECSCP interactions.

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