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Title Extended of the Schrödinger Equation with New Coulomb Potentials plus Linear and Harmonic Radial Terms in the Symmetries of Noncommutative Quantum Mechanics
Authors Abdelmadjid, Maireche
ORCID
Keywords schrödinger equation
coulomb potentials plus linear and harmonic radial terms
noncommutative space-phase
star product and Generalized Bopp’s shift method
Type Article
Date of Issue 2018
URI http://essuir.sumdu.edu.ua/handle/123456789/71615
Publisher Sumy State University
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Citation Abdelmadjid, Maireche Extended of the Schrodinger Equation with New Coulomb Potentials plus Linear and Harmonic Radial Terms in the Symmetries of Noncommutative Quantum Mechanics / M. Abdelmadjid // Журнал нано- та електронної фізики. - 2018. - Т.10, № 6. - 06015. - DOI: 10.21272/jnep.10(6).06015
Abstract In this recently work, we have obtained the analytical solutions of the modified Schrödinger equation (MSE) with new Coulomb potentials plus linear and harmonic radial terms (NCPLHRT) for hydrogenic atoms in noncommutative 3-dimensional real space-phase (NC: 3D-RSP). We applied, the generalized Bopp’s shift method and standard perturbation theory in the framework of two infinitesimal parameters due to (space-phase) noncommutativity, we obtained new energy eigenvalues, which depended with discrete atomic quantum numbers and parameters of studied potential, in addition to the corresponding new Hamiltonian operator. Our research also conveys another innovative feature, the global group symmetry (NC: 3D-RSP) were broken simultaneously and replaced by the residual local subgroup (NC: 3D-RS) under interaction of hydrogenic atoms with NCPLHRT.
Appears in Collections: Журнал нано- та електронної фізики (Journal of nano- and electronic physics)

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