Hydrogen and helium spectra in large magnetic fields

Astronomy and Astrophysics – Astrophysics

Scientific paper

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H Lines, Helium Atoms, Magnetic Stars, Spectrum Analysis, Stellar Spectra, White Dwarf Stars, Astrophysics, Atomic Energy Levels, Eigenvalues, Eigenvectors, Hamiltonian Functions, Matrices (Mathematics), Paschen Series, Stellar Spectrophotometry, Zeeman Effect

Scientific paper

The energy levels and wave functions of hydrogen and helium atoms in the presence of large (about 10 MG) magnetic fields are found by assuming that the eigenvalues and eigenvectors may be approximated by those of a truncated Hamiltonian matrix. In these atoms, fields of this size produce, in addition to the usual Paschen-Back effect, a quadratic Zeeman effect. This contributes an upward shift to the energy of all levels, which at sufficiently high fields dominates the Paschen-Back splitting. The behavior of a number of eigenvalues and wave functions as a function of magnetic fields is presented. The effects of the field on the wavelengths and strengths of the components of H-beta and the helium lines at 4471, 4026 and 4120 A as well as the forbidden 4025-A line are examined.

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