Comment on the shape of Hydrogen equation in spaces of arbitrary dimension

2015/02/20 by M. Ya. Amusia, Amusia, M. Ya.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Quantum Mechanics and Applications #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #advanced mathematical theories #quant-ph

paper · pdf · doi:10.48550/arxiv.1502.05849

3 pages

arxiv created 2015/02/20 · openalex publication_date 2015/02/20 · arxiv updated 2015/02/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We note that presenting Hydrogen atom Schrodinger equation in the case of arbitrary dimensions require simultaneous modification of the Coulomb potential that only in three dimensions has the form Z/r . This was not done in a number of relatively recent papers [1-5]. Therefore some results obtained there seem to be doubtful. Some required considerations in the area are mentioned.

Related

• On the Energy Levels of the Hydrogen Atom
• One-dimensional hydrogen atom
• Conformal Transformation of the Schrödinger Equation for Central Potential Problems in Three-Dimensions
• The relations between d-dimensional isotropic oscillator and\n D-dimensional like-hydrogen atom
• Exact solutions, critical parameters and accidental degeneracy for the hydrogen atom in a spherical box