On the existence of hydrogen atoms in higher dimensional Euclidean spaces

DOI10.1016/j.physleta.2013.01.026zbMath1428.81139arXiv1205.3740OpenAlexW2009863970MaRDI QIDQ2284021

Yanyan Li

Publication date: 13 January 2020

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.3740

zbMATH Keywords

dimensionalitySchrödinger equationhydrogen atomspace

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Atomic physics (81V45)

Related Items (11)

Entropic properties of \(D\)-dimensional Rydberg systems ⋮ Spatial electron transitions in a hydrogen-like atom with photon emission ⋮ Does Dirac equation for a generalized Coulomb-like potential in \(\mathrm D+1\) dimensional flat space-time admit any solution for \(D\geq 4\)? ⋮ Hydrogen atom in space with a compactified extra dimension and potential defined by Gauss' law ⋮ Analytical solutions of the algebraic equations of the theory of spatial transitions of atoms. The hydrogen-like atom ⋮ A Dirac-fermions functional for Coulomb interaction on arbitrary (fractional) dimension: energy and pressure ⋮ Rényi entropies for multidimensional hydrogenic systems in position and momentum spaces ⋮ Stable compact motions of a particle driven by a central force in six-dimensional spacetime ⋮ The hydrogen atom in \(D = 3 - 2\epsilon\) dimensions ⋮ Repulsive forces and the weak gravity conjecture ⋮ Rydberg multidimensional states: Rényi and Shannon entropies in momentum space

Cites Work

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• Exact solution of the N-dimensional generalized Dirac-Coulomb equation
• Generalized comparison theorems in quantum mechanics
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