A New Relativistic Study for Interactions in One-electron atoms (Spin ½ Particles) with Modified Mie-type Potential

Authors Abdelmadjid Maireche
Affiliations

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

Е-mail abmaireche@gmail.com
Issue Volume 8, Year 2016, Number 4
Dates Received 08 June 2016; revised manuscript received 22 November 2016; published online 29 November 2016
Citation Abdelmadjid Maireche, J. Nano- Electron. Phys. 8 No 4(1), 04027 (2016)
DOI 10.21272/jnep.8(4(1)).04027
PACS Number(s) 03.65.Pm, 03.65.Ge
Keywords The Mie-type potential, Krazer-Futes potential, Noncommutative space (16) , Star product and Boopp’s shift method and Dirac.
Annotation In this paper, we present a novel theoretical analytical perform further investigation for the exact solvability of relativistic quantum spectrum systems for modified Mie-type potential (m.m.t.) potential is discussed for spin-1/2 particles by means Boopp’s shift method instead to solving deformed Dirac equation with star product, in the framework of noncommutativity three dimensional real space (NC: 3D-RS). The exact corrections for excited states are found straightforwardly for interactions in one-electron atoms by means of the standard perturbation theory. Furthermore, the obtained corrections of energies are depended on four infinitesimal parameter ,which induced by position-position noncommutativity, in addition to the discreet atomic quantum numbers: and (the angular momentum quantum number) and we have also shown that, the usual states in ordinary two and three dimensional spaces are canceled and has been replaced by new degenerated sub-states in the new quantum symmetries of (NC: 3D-RS) and we have also applied our obtained results to the case of modified Krazer-Futes potential.

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