Diatomic Molecules in deSitter and Anti-deSitter Spaces
Mathematical Physics
2024-05-08 v1 math.MP
Quantum Physics
Abstract
The Schr\"odinger equation for diatomic molecules in deSitter and anti-deSitter spaces is studied using the extended uncertainty principle formulation. The equations are solved by the Nikiforov-Uvarov method for both the Kratzer potential and the pseudoharmonic oscillator. The energy eigenvalues of the system have been derived analytically, and the exact expressions of the eigenfunctions are provided in terms of Romanovski and Jacobi polynomials. The impact of the spatial deformation parameter on the bound states is also examined, with experimental results used to establish an upper limit for this parameter.
Keywords
Cite
@article{arxiv.2405.04502,
title = {Diatomic Molecules in deSitter and Anti-deSitter Spaces},
author = {Meriem AbdelAziz and Mustafa Moumni and Mokhtar Falek},
journal= {arXiv preprint arXiv:2405.04502},
year = {2024}
}
Comments
13 pages, 7 figures and 4 tables