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Hydrogen and helium spectra in large magnetic fields
Authors:R H Garstang  S B Kemic
Institution:(1) Joint Institute for Laboratory Astrophysics, University of Colorado and National Bureau of Standards, Boulder, Colo., USA;(2) Dept. of Physics and Astrophysics, University of Colorado, Boulder, Colo., USA
Abstract:The energy levels and wave functions of hydrogen and helium atoms in the presence of large (sim107G) 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 field is presented. The effects of the field on the wavelengths and strengths of the components of Hbeta and the helium lines lambdalambda 4471, 4026 and 4120 as well as the forbidden lambda 4025 are examined. In hydrogen the lines are split into components attributed to the now nondegenerate transitionsnlm lrarrnprimelprimemprimel. In helium forbidden lines are excited, which may develop strengths larger than those of the allowed lines.
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