Journal Article

Pseudo-spectral methods for atoms in strong magnetic fields

Jeremy S. Heyl and Anand Thirumalai

in Monthly Notices of the Royal Astronomical Society

Published on behalf of The Royal Astronomical Society

Volume 407, issue 1, pages 590-598
Published in print September 2010 | ISSN: 0035-8711
Published online August 2010 | e-ISSN: 1365-2966 | DOI: http://dx.doi.org/10.1111/j.1365-2966.2010.16937.x
Pseudo-spectral methods for atoms in strong magnetic fields

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We present a new pseudo-spectral algorithm for the calculation of the structure of atoms in strong magnetic fields. We have verified this technique for one-, two- and three-electron atoms in zero magnetic fields against laboratory results and find typically better than 1 per cent accuracy. We further verify this technique against the state-of-the-art calculations of hydrogen, helium and lithium in strong magnetic fields (up to about 2 × 106 T) and find a similar level of agreement. The key enabling advantages of the algorithm are its simplicity (about 130 lines of commented code) and its speed (about 102–105 times faster than finite-element methods to achieve similar accuracy).

Keywords: atomic data; magnetic fields; methods: numerical; stars: magnetic field; stars: neutron; white dwarfs

Journal Article.  5494 words.  Illustrated.

Subjects: Astronomy and Astrophysics

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