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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 | Copyright not evaluated |
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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