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Title Effects of Three-Dimensional Noncommutative Theories on Bound States Schrodinger Molecular under New Modified Kratzer-type Interactions
Authors Maireche, A.
ORCID
Keywords three dimensional Schrödinger equation
modified Kratzer-type potential
noncommutative space-phase
star product and Bopp’s shift method
Type Article
Date of Issue 2018
URI http://essuir.sumdu.edu.ua/handle/123456789/68565
Publisher Sumy State University
License
Citation Maireche, A. Effects of Three-Dimensional Noncommutative Theories on Bound States Schrodinger Molecular under New Modified Kratzer-type Interactions [Текст] / A. Maireche // Журнал нано- та електронної фізики. - 2018. - Т. 10, № 2. - 02011. - DOI: 10.21272/jnep.10(2).02011.
Abstract The new exact energy eigenvalues for new modified Kratzer-type potentials (NMKP) are calculated for a few typical (N2, CO, NO, CH) 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 Ekp(n, j ,l ,s ) and nc -kpE (n, j ,l ,s,m) 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 threedimensional real space (NC: 3D-RS) under new three-dimensional NMKP interactions.
Appears in Collections: Журнал нано- та електронної фізики (Journal of nano- and electronic physics)

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