High-accuracy numerical calculations of the bound states of a hydrogen atom in a constant magnetic field with arbitrary strength

DOI10.1016/J.CPC.2019.02.013OpenAlexW2921308399WikidataQ128248644 ScholiaQ128248644MaRDI QIDQ2696429

Le Van Hoang, Thanh-Xuan H. Cao, Duy-Nhat Ly, Ngoc-Tram D. Hoang

Publication date: 14 April 2023

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2019.02.013

zbMATH Keywords

magnetic fieldhydrogen atomharmonic oscillator modelKustaanheimo-Stiefel transformationFK operator methodhigh-accuracy numerical solutions

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Uses Software

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Cites Work

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• Non-perturbative description of quantum systems
• POTHMF: A program for computing potential curves and matrix elements of the coupled adiabatic radial equations for a hydrogen-like atom in a homogeneous magnetic field
• Optimal choice of a parameter for the operator method of the solution of the Schrodinger equation
• Relativistic analogy of the Aharonov-Bohm effect in the presence of Coulomb field and magnetic charge
• Exact analytical solutions of the Schrödinger equation for a two dimensional purely sextic double-well potential
• Calculation of a hydrogen atom photoionization in a strong magnetic field by using the angular oblate spheroidal functions
• Analytical solutions of the Schrödinger equation for a two-dimensional exciton in magnetic field of arbitrary strength
• Perturbation theory of Kepler motion based on spinor regularization.

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