Iterative solution of a Dirac equation with inverse Hamiltonian method

Details Iterative solution of a Dirac equation with inverse Hamiltonian method Iterative solution of a Dirac equation with inverse Hamiltonian method

2010-08-30

arxiv.org/abs/1008.4995v1

Phys.Rev.C82:057301,2010

Physics

Nuclear Physics

Nuclear Theory

4 pages, 3 figures

Scientific paper

10.1103/PhysRevC.82.057301

We solve a singe-particle Dirac equation with Woods-Saxon potentials using an iterative method in the coordinate space representation. By maximizing the expectation value of the inverse of the Dirac Hamiltonian, this method avoids the variational collapse, in which an iterative solution dives into the Dirac sea. We demonstrate that this method works efficiently, reproducing the exact solutions of the Dirac equation.

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