2012/05/08 by Paolo Amore, Amore, Paolo, John P. Boyd +3
Mathematics · Computer Science · Physics and Astronomy · #Mathematical functions and polynomials #Matrix Theory and Algorithms #Quantum Mechanics and Non-Hermitian Physics
paper · doi:10.48550/arxiv.1205.1704
We obtain highly accurate solutions to the Thomas-Fermi equations for atoms and atoms in very strong magnetic fields. We apply the Padé-Hankel method, numerical integration, power series with Padé and Hermite-Padé 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.