Rational approximation to Thomas-Fermi equations

Details Rational approximation to Thomas-Fermi equations Rational approximation to Thomas-Fermi equations

2009-04-07

arxiv.org/abs/0904.1125v1

Physics

Mathematical Physics

Scientific paper

We show that a simple and straightforward rational approximation to the Thomas-Fermi equation provides the slope at origin with unprecedented accuracy and that relatively small Pad\'e approximants are far more accurate than more elaborate approaches proposed recently by other authors. We consider both the Thomas-Fermi equation for isolated atoms and for atoms in strong magnetic fields.

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