The imaginary time step (ITS) method is applied to solve the Dirac equation with nonlocal potentials in coordinate space. Taking the nucleus as an example, even with nonlocal potentials, the direct ITS evolution for the Dirac equation still meets the disaster of the Dirac sea. However, following the recipe in our former investigation, the disaster can be avoided by the ITS evolution for the corresponding Schrödinger‐like equation without localization, which gives the convergent results exactly the same with those obtained iteratively by the shooting method with localized effective potentials.
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Research Article| August 26 2009
Imaginary Time Step Method to Solve the Dirac Equation with Nonlocal Potential
AIP Conf. Proc. 1165, 279–282 (2009)
Ying Zhang, Haozhao Liang, Jie Meng; Imaginary Time Step Method to Solve the Dirac Equation with Nonlocal Potential. AIP Conf. Proc. 26 August 2009; 1165 (1): 279–282. https://doi.org/10.1063/1.3232092
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