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- Title
A new theoretical study of the deformed unequal scalar and vector Hellmann plus modified Kratzer potentials within the deformed Klein–Gordon equation in RNCQM symmetries.
- Authors
Maireche, Abdelmadjid
- Abstract
In this paper, within the framework of relativistic quantum mechanics and using the improved approximation scheme to the centrifugal term for any l states via Bopp's shift method and standard perturbation theory, we have obtained the modified energy eigenvalues of a newly proposed modified unequal vector and scalar Hellmann plus modified Kratzer potentials (DUVSHMK-Ps) for some diatomic N2, I2, CO, NO, O2 and HCl molecules. This study includes corrections of the first-order in noncommutativity parameters (Θ , σ). This potential is a superposition of the attractive Coulomb Yukawa potential plus the Kratzer potential and new central terms appear as a result of the effects of noncommutativity properties of space–space. The obtained energy eigenvalues appear as a function of noncommutativity parameters, the strength parameters (V 0 , S 0) and (V 1 , S 1) of the (scalar vector) Hellmann potential, the screening range parameter α , the dissociation energy of the vector, and scalar potential (D v , D s) , the equilibrium inter-nuclear distance r e in addition to the atomic quantum numbers (n , j , l , s , m). Furthermore, we obtained the corresponding modified energy of DUVSHMK-Ps in the symmetries of non-relativistic noncommutative quantum mechanics (NRNCQM). In both relativistic and non-relativistic problems, we show that the corrections on the spectrum energy are smaller than the main energy in the ordinary cases of RQM and NRQM.
- Subjects
RELATIVISTIC quantum mechanics; NONRELATIVISTIC quantum mechanics; KLEIN-Gordon equation; DIATOMIC molecules; PERTURBATION theory; QUANTUM numbers; COULOMB potential
- Publication
Modern Physics Letters A, 2021, Vol 36, Issue 33, p1
- ISSN
0217-7323
- Publication type
Article
- DOI
10.1142/S0217732321502321