Spectra of the hydrogen atom and hydrogen-like ions in the magnetic fields of neutron stars

Computer Science – Numerical Analysis

Scientific paper

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Atomic Spectra, H Lines, Neutron Stars, Perturbation Theory, Stellar Magnetic Fields, Stellar Spectra, Atomic Energy Levels, Electron Energy, Finite Difference Theory, Numerical Analysis, Plasma-Electromagnetic Interaction, Schroedinger Equation, Spectral Line Width, Transition Probabilities, X Ray Stars

Scientific paper

The structure of hydrogen-like ions in the ultrastrong magnetic fields of pulsars is examined. A finite difference scheme within the framework of perturbation theory is used to calculate energy levels of the ground and several excited states of the hydrogen atom in fields of 2.35 x 10 to the 9th to 4.7 x 10 to the 12th G. The level energies of maximally probable electrical dipole transitions are calculated for He II, C VI, N VII, O VIII, Ne X, Mg XII, Si XIV, Ca XX, and Fe XXVI. It is suggested that X-ray pulsars with magnetic fields of 10 to the 11th to 10 to the 12th G may have emission lines caused by these transitions in the 0.1-21 keV energy range.

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