University of Msila Msila

M’Sila, Algeria

University of Msila Msila

M’Sila, Algeria
SEARCH FILTERS
Time filter
Source Type

In our recent work, three-dimensional modified time-independent Schrödinger equation (MSE) of modified vibrational- rotational analysis of supersingular plus quadratic potential (v.r.a.s.q.) potential was solved using Boopp's shift method instead to apply star product, in the framework of both noncommutativity three dimensional real space and phase (NC: 3D-RSP). Furthermore, the exact correction for ground state and first excited state are found straightforwardly for interactions in one-electron atoms has been solved using standard perturbation theory. Furthermore, the obtained corrections of energies are depended on infinitesimal parameters θ x,θ σ 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 . Moreover, the usual states in ordinary quantum mechanics for vibrational-rotational analysis of supersingular plus quadratic potential are canceled and has been replaced by new degenerated 2(2l±1) sub-states in the extended new quantum symmetries of (NC: 3DRSP). © 2016 Sumy State University.


Maireche A.,University of Msila Msila
Journal of Nano- and Electronic Physics | Year: 2017

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 (Θ,χ) and (θ σ) 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shown that, the usual states in ordinary three dimensional spaces for ordinary Kratzer potential are canceled and have been replaced by new degenerated 2(2l + 1) sub-states in the extended new quantum mechanics. © 2017 Sumy State University.


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 (j = |l -s |, .....|l + s |, (n, l)) and m), in addition to the two infinitesimal parameters (Θ, 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). © 2017 Sumy State University.

Loading University of Msila Msila collaborators
Loading University of Msila Msila collaborators