Related papers: On the two-dimensional hydrogen atom in a circular box in the presence of an electric field

On the two-dimensional hydrogen atom in a circular box in the presence of an electric field

URL: http://arxiv.org/abs/2504.18928v1
Date: Sat, 26 Apr 2025 14:00:28 GMT
Title: On the two-dimensional hydrogen atom in a circular box in the presence of an electric field
Authors: Paolo Amore, Francisco M. Fernández,
Abstract summary: We revisit the quantum-mechanical two-dimensional hydrogen atom with an electric field confined to a circular box.<n>An interesting feature of the model is accidental degeneracy and splitting of energy levels due to the presence of the electric field.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We revisit the quantum-mechanical two-dimensional hydrogen atom with an electric field confined to a circular box of impenetrable wall. In order to obtain the energy spectrum we resort to the Rayleigh-Ritz method with a polynomial basis sets. We discuss the limits of large and small box radius and the symmetry of the solutions of the Schr\"{o}dinger equation. An interesting feature of the model is the appearance of accidental degeneracy and the splitting of degenerate energy levels due to the presence of the electric field.

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