1205.1704 (Paolo Amore et al.)

Accurate calculation of the solutions to the Thomas-Fermi equations    [PDF]

Paolo Amore, John P. Boyd, Francisco M. Fernández

We obtain highly accurate solutions to the Thomas-Fermi equations for atoms and atoms in very strong magnetic fields. We apply the Pad\'e-Hankel method, numerical integration, power series with Pad\'e and Hermite-Pad\'e approximants and Chebyshev polynomials. Both the slope at origin and the location of the right boundary in the magnetic-field case are given with unprecedented accuracy.

View original: http://arxiv.org/abs/1205.1704