Iterative solution of a Dirac equation with inverse Hamiltonian method

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.

4 pages, 3 figures

References in corpus (4)

• Spherical Relativistic Hartree theory in a Woods-Saxon basis
• Nuclear matter in the crust of neutron stars
• Avoid the Tsunami of the Dirac sea in the Imaginary Time Step method
• Solving the Dirac equation with nonlocal potential by Imaginary Time Step method

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