Elementary Atoms in Spaces of Constant Curvature by the Nikiforov-Uvarov Method
Copyright policy )Elementary Atoms in Spaces of Constant Curvature by the Nikiforov-Uvarov Method
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.
19 pages, no figures, elsarticle, version to be published in Annals of Physics
- Budker Institute of Nuclear Physics Russian Federation
- Al Furat University Syrian Arab Republic
- Novosibirsk State University Russian Federation
High Energy Physics - Theory, Quantum Physics, Linear ordinary differential equations and systems in the complex domain, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), bound states, General Relativity and Quantum Cosmology, Atomic physics, hydrogen atom, High Energy Physics - Theory (hep-th), constant curvature spaces, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, Quantum Physics (quant-ph), Nikiforov-Uvarov method
High Energy Physics - Theory, Quantum Physics, Linear ordinary differential equations and systems in the complex domain, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), bound states, General Relativity and Quantum Cosmology, Atomic physics, hydrogen atom, High Energy Physics - Theory (hep-th), constant curvature spaces, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, Quantum Physics (quant-ph), Nikiforov-Uvarov method
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