On the exact solutions of a two-dimensional hydrogen atom in a constant magnetic field

TL;DR

This paper explores exact polynomial solutions for a 2D hydrogen atom in a magnetic field and compares these solutions with numerical results to validate their accuracy.

Contribution

It provides a detailed analysis of exact solutions and their validation against numerical methods, enhancing understanding of the 2D hydrogen atom in magnetic fields.

Findings

Exact polynomial solutions are obtained for the 2D hydrogen atom in a magnetic field.

Numerical results from the Rayleigh-Ritz method validate the analytical solutions.

The study clarifies the physical relevance of these solutions in quantum systems.

Abstract

We discuss the exact polynomial solutions for the two-dimensional hydrogen atom in a constant magnetic field already studied earlier by other authors. In order to provide a suitable meaning for such solutions we compare them with numerical results provided by the Rayleigh-Ritz method.