Effects of Three-Dimensional Noncommutative Theories on Bound States Schrödinger Molecular under New Modified Kratzer-type Interactions

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 10, Year 2018, Number 2
Dates Received 15 February 2017; revised manuscript received 27 April 2018; published online 29 April 2018
Citation Abdelmadjid Maireche, J. Nano- Electron. Phys. 10 No 2, 02011 (2018)
DOI https://doi.org/10.21272/jnep.10(2).02011
PACS Number(s) 11.10.Nx, 32.30 – r, 03.65 – w
Keywords Three dimensional Schrödinger equation (2) , Modified Kratzer-type Potential, Noncommutative space-phase (3) , Star product and Bopp’s shift method (4) .

The new exact energy eigenvalues for new modified Kratzer-type potentials (NMKP) are calculated for a few typical molecules through the Bopp’s shift method in the global quantum group (GQG) of noncommutative three-dimensional real space-phase symmetries (NC: 3D-RSP) in the framework of two infinitesimal parameters and due to (space-phase) noncommutativity, by means of the solution of the noncommutative Schrödinger equation (NCSE). The perturbation property of the spin-orbital Hamiltonian operator and new Zeeman effect of 3D system are investigated and the corresponding energy eigenvalues and are easily calculated from standard perturbation theory. We have shown also that, the GQG of (NC: 3D-RSP) reduce to new sub-group symmetry of NC three-dimensional real space (NC: 3D-RS) under new three-dimensional NMKP interactions.

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