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

2025/06/09 by Francisco M. Fernández, Fernández, Francisco M.
Physics and Astronomy · #FOS: Physical sciences #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2506.07765

openalex publication_date 2025/06/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Dimensionless equations in non-relativistic quantum mechanics

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