On hydrogen-like atoms in N-dimensional space
Year: 2025
Type: article
Abstract: This study provides an analytical solution to the Schrödinger equation for hydrogen-like atoms within the context of N-dimensional Euclidean space. The eigenvalue problem associated with the angular component is solved in a manner akin to the N = 3 scenario, bypassing the need for harmonic analysis. Both graphical and tabular representations are used to illustrate the characteristics of the radial and angular eigenstates, including their degeneracy. We investigate the influence of dimensionality on energy, stability, atomic spectra, and degeneracy. Furthermore, we examine how the choice of potential function impacts the existence of atomic structures.
Source: AIP Advances
DOI: 10.1063/5.0254102
Institution: Al-Quds University
Language: English
Topic: Atomic and Molecular Physics
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,350
OpenAlex ID: W4408441017