| Revista: | Revista mexicana de física |
| Base de datos: | PERIÓDICA |
| Número de sistema: | 000447311 |
| ISSN: | 0035-001X |
| Autors: | Maireche, A1 |
| Institucions: | 1University Mohamed Boudiaf of M'Sila, Department of Physics, M'Sila. Argelia |
| Any: | 2021 |
| Període: | Sep-Oct |
| Volum: | 67 |
| Número: | 5 |
| País: | México |
| Idioma: | Inglés |
| Tipo de documento: | Artículo |
| Enfoque: | Analítico, teórico |
| Resumen en inglés | In this research work, within the framework of relativistic and nonrelativistic noncommutative quantum mechanics, the deformed KleinGordon and Schrödinger equations were solved with the modified equal vector scalar Manning-Rosen potential that has been of significance interest in recent years using Bopp’s shift method and standard perturbation theory in the first-order in the noncommutativity parameters (Θ,σ,χ) in 3-dimensions noncommutative quantum mechanics. By employing the improved approximation of the centrifugal term, the relativistic and nonrelativistic bound state energies were obtained for some diatomic molecules such as (HCl, CH, LiH, CO, NO, O2, I2, N2, H2, and Ar2). The obtained energy eigenvalues appear as a function of the generalized Gamma function, the parameters of noncommutativity, and the parameters (β,A,α) of studied potential, in addition to the atomic quantum numbers (n,j,l,s,m). In both relativistic and nonrelativistic problems, we show that the corrections on the spectrum energy are smaller than the main energy in the ordinary cases of RQM and NRQM. A straightforward limit of our results to ordinary quantum mechanics shows that the present result is consistent with what is obtained in the literature. We have seen that the improved approximation of the centrifugal term is better than the other approximations in finding the approximate analytical solutions of the Klein-Gordon and Schrödinger equations for the modified Manning-Rosen potential in relativistic noncommutative quantum mechanics and nonrelativistic noncommutative quantum mechanics |
| Disciplines | Física y astronomía |
| Paraules clau: | Física, Ecuación de Schrodinger, Potencial Manning-Rosen, Moléculas diatómicas, Geometría no conmutativa |
| Keyword: | Physics, Schrödinger equation, Manning-Rosen potential, Diatomic molecules, Noncommutative geometry |
| Text complet: | Texto completo (Ver HTML) Texto completo (Ver PDF) |
