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

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

2009-10-21

arxiv.org/abs/0910.4078v1

Chin.Phys.Lett.26:092401,2009

Physics

Nuclear Physics

Nuclear Theory

Scientific paper

10.1088/0256-307X/26/9/092401

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 Schr\"odinger-like equation for the upper component. It is demonstrated that the ITS evolution can be equivalently performed for the Schr\"odinger-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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