Astronomy and Astrophysics – Astrophysics
Scientific paper
Jun 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975phrva..11.1835b&link_type=abstract
Physical Review A - General Physics, 3rd Series, vol. 11, June 1975, p. 1835-1839. Research supported by the Banco Nacional de
Astronomy and Astrophysics
Astrophysics
47
Atomic Energy Levels, Energy Spectra, Hydrogen Atoms, Magnetic Fields, Zeeman Effect, Astrophysics, Eigenvalues, Eigenvectors, Electron Transitions, Ionization Potentials, Magnetic Effects, Magnetic Flux, Solid State Physics
Scientific paper
We propose a variational scheme for calculating the energy eigenvalues and eigenfunctions of the hydrogen atom in the presence of a strong magnetic field. Numerical calculations were performed for several of the lowest states, and for the wavelengths of some allowed transitions. We discuss briefly the equivalence of the problems related with solid-state physics and astrophysics, and compare our results with previous calculations. Because the suggested scheme converges very fast for fields up to approximately one billion G this is a convenient manner in which to treat problems where the interest is concentrated in the range of variation of the magnetic field from zero up to approximately one billion G.
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