New Non-relativistic Bound States Solutions for Modified Kratzer Potential in One-electron Atoms

Author(s) Abdelmadjid Maireche

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

Issue Volume 9, Year 2017, Number 3
Dates Received 22 January 2017; revised manuscript received 12 April 2017; published online 30 June 2017
Citation Abdelmadjid Maireche, J. Nano- Electron. Phys. 9 No 3, 03031 (2017)
DOI 10.21272/jnep.9(3).03031
PACS Number(s) 03.65.Ge, 03.65. – w, 03.65.Ca
Key words The Kratzer potential, Noncommutative space and phase (8) , Star product and Bopp’s shift method (3) .
Annotation In this study, three-dimensional modified time-independent Schrödinger equation of modified Kratzer potential was solved using Bopp’s shift method instead to apply star product, in the framework of both noncommutativity three dimensional real space and phase (NC: 3D-RSP). We have obtained the explicit energy eigenvalues for ground and first excited states for interactions in one-electron atoms. Furthermore, the obtained corrections of energies are depended on infinitesimal parameters and which are induced by position-position and momentum-momentum noncommutativity, respectively, in addition to the discreet atomic quantum numbers (j  l ± 1/2, s  1/2, l and m). We have also shown that, the usual states in ordinary three dimensional spaces for ordinary Kratzer potential are canceled and have been replaced by new degenerated 2(2l + 1) sub-states in the extended new quantum mechanics.