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

Автор(ы) Abdelmadjid Maireche

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

Е-mail abmaireche@gmail.com
Выпуск Том 8, Год 2016, Номер 4
Даты Получено 08.06.2016, в отредактированной форме – 22.11.2016, опубликовано online – 29.11.2016
Ссылка 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
Ключевые слова The Mie-type potential, Krazer-Futes potential, Noncommutative space (16) , Star product and Boopp’s shift method and Dirac.
Аннотация 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number) and we have also shown that, the usual states in ordinary two and three dimensional spaces are canceled and has been replaced by new degenerated sub-states in the new quantum symmetries of (NC: 3D-RS) and we have also applied our obtained results to the case of modified Krazer-Futes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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