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Iterative solution of a Dirac equation with inverse Hamiltonian method

Nuclear Theory 2010-12-02 v1 Chemical Physics

Abstract

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.

Keywords

Cite

@article{arxiv.1008.4995,
  title  = {Iterative solution of a Dirac equation with inverse Hamiltonian method},
  author = {K. Hagino and Y. Tanimura},
  journal= {arXiv preprint arXiv:1008.4995},
  year   = {2010}
}

Comments

4 pages, 3 figures

R2 v1 2026-06-21T16:06:39.051Z