A Recent Study of Excited Energy Levels of Diatomics for Modified more General Exponential Screened Coulomb Potential: Extended Quantum Mechanics

Authors Abdelmadjid Maireche

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

Е-mail abmaireche@gmail.com
Issue Volume 9, Year 2017, Number 3
Dates Received 14 March 2017; revised manuscript received 12 April 2017; published online 30 June 2017
Citation Abdelmadjid Maireche, J. Nano- Electron. Phys. 9 No 3, 03021 (2017)
DOI 10.21272/jnep.9(3).03021
PACS Number(s) 11.10.Nx, 32.30 – r, 03.65 – w
Keywords More general exponential screened coulomb potential, Noncommutative space and phase (8) , Star product and Bopp’s shift method (4) .
Annotation In present research paper, we investigated in detail the non-relativistic bound states of diatomics under 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 (, (n, l)) and m), in addition to the two infinitesimal parameters (, ) 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).

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