Numerical solution of the Dirac equation by a mapped Fourier grid method

@inproceedings{Ackad2005NumericalSO,
title={Numerical solution of the Dirac equation by a mapped Fourier grid method},
author={Edward Ackad and M Horbatsch},
year={2005}
}

An efficient numerical method is developed to solve the relativistic hydrogenic Coulomb problem. Combining a pseudospectral method and a change of coordinates, a matrix representation of the relativistic Hamiltonian is constructed in position space. The radial coordinate is mapped from the semiinfinite r-axis to a finite range. The accuracy of the calculation is tested by comparing eigenvalues, sum rules and eigenfunctions with known analytic results. The method can be applied to central field… CONTINUE READING