Elementary atoms in spaces of constant curvature by the Nikiforov-Uvarov method
arXiv:2504.07150 · doi:10.1016/j.aop.2025.170066
Abstract
The Nikiforov-Uvarov method is a simple, yet elegant and powerful method for solving second-order differential equations of generalized hypergeometric type. In the past, it has been used to solve many problems in quantum mechanics and elsewhere. We apply this method to the classical problem of hydrogen-like atoms in spaces of constant curvature. Both the spectra of these atoms and their wave functions, including normalization, are easily obtained.
arXiv comment19 pages, no figures, elsarticle, version to be published in Annals of Physics
References in corpus (7)
- A General Approach for the Exact Solution of the Schrodinger Equation
- The quantum free particle on spherical and hyperbolic spaces: A curvature dependent approach
- Curvature-dependent formalism, Schrödinger equation and energy levels for the harmonic oscillator on three-dimensional spherical and hyperbolic spaces
- Hydrogen atom as an eigenvalue problem in 3D spaces of constant curvature and minimal length
- Quasi-exactly solvable extensions of the Kepler-Coulomb potential on the sphere
- On Potentials Integrated by the Nikiforov-Uvarov Method
- Dually-charged mesoatom on the space of constant negative curvature