Hydrogen and Helium Spectra in Large Magnetic Fields
Abstract
The energy levels and wave functions of hydrogen and helium atoms in the presence of large (∼10^{7}G) 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 PaschenBack effect, a quadratic Zeeman effect. This contributes an upward shift to the energy of all levels, which at sufficiently high fields dominates the PaschenBack splitting. The behavior of a number of eigenvalues and wave functions as a function of magnetic field is presented. The effects of the field on the wavelengths and strengths of the components of Hβ and the helium lines λλ 4471, 4026 and 4120 as well as the forbidden λ 4025 are examined. In hydrogen the lines are split into components attributed to the now nondegenerate transitionsnlm _{l}→n'l'm'_{l}. In helium forbidden lines are excited, which may develop strengths larger than those of the allowed lines.
 Publication:

Astrophysics and Space Science
 Pub Date:
 November 1974
 DOI:
 10.1007/BF00642604
 Bibcode:
 1974Ap&SS..31..103G
 Keywords:

 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;
 Astrophysics