Solving the Dirac equation with nonlocal potential by Imaginary Time Step method

Abstract

The Imaginary Time Step (ITS) method is applied to solve the Dirac equation with the nonlocal potential in coordinate space by the ITS evolution for the corresponding Schrödinger-like equation for the upper component. It is demonstrated that the ITS evolution can be equivalently performed for the Schrödinger-like equation with or without localization. The latter algorithm is recommended in the application for the reason of simplicity and efficiency. The feasibility and reliability of this algorithm are also illustrated by taking the nucleus ${}^{16}$O as an example, where the same results as the shooting method for the Dirac equation with localized effective potentials are obtained.

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Cited by in corpus (7)

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• Pseudospin symmetry in single particle resonances in spherical square wells
• Solving Dirac equations on a 3D lattice with inverse Hamiltonian and spectral methods
• Three-dimensional mesh calculations for covariant density functional theory
• Iterative solution of a Dirac equation with inverse Hamiltonian method
• Single particle in a reflection-asymmetric potential
• Application of the inverse Hamiltonian method to Hartree-Fock-Bogoliubov calculations