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Title A Recent Study of Excited Energy Levels of Diatomics for Modified more General Exponential Screened Coulomb Potential: Extended Quantum Mechanics
Authors Maireche, Abdelmadjid
Keywords More general exponential screened coulomb potential
Noncommutative space and phase
Star product and Bopp’s shift method
Type Article
Date of Issue 2017
URI http://essuir.sumdu.edu.ua/handle/123456789/65871
Publisher Sumy State University
License
Citation Maireche, A. A Recent Study of Excited Energy Levels of Diatomics for Modified more General Exponential Screened Coulomb Potential: Extended Quantum Mechanics [Текст] / A. Maireche // Журнал нано- та електронної фізики. - 2017. - Т.9, № 3. - 03021. - DOI: 10.21272/jnep.9(3).03021.
Abstract the influence of modified more general exponential screened coulomb (MGESC) potential by means Bopp’s shift method and standard perturbation theory in the noncommutative 3-dimensional space phase (NC: 3D-RSP). Through an exact analytical solution of 3-dimensional time-independent Schrödinger equation, the corrections expressions were derived for energy eigenvalues for nth excited states. Furthermore, the obtained corrections of energies are depended on the discreet atomic quantum numbers (j = |l - s|,......(l + s), (n, l)) and m), in addition to the two infinitesimal parameters (ʘ, χ) which are induced by position-position noncommutativity. We have also shown that, the total complete degeneracy of energy levels of modified (MGESC) potential equals the new values 2n2. We have also shown that, the group symmetry (NC: 3D-RSP) corresponding modified (MGESC) potential reduce to the symmetry sub-group (NC: 3D-RS).
Appears in Collections: Журнал нано- та електронної фізики (Journal of nano- and electronic physics)

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