Solving the Dirac Equation with Nonlocal Potential by Imaginary Time Step Method

Solving the Dirac Equation with Nonlocal Potential by Imaginary Time Step Method
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用虚时间步法求解非局部势狄拉克方程

DOI:
10.1088/0256-307x/26/9/092401
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发表时间:
2009-08
影响因子:
3.5
通讯作者:
Zhang Ying
Zhang Ying
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Liang Hao-Zhao;Meng Jie;Zhang Ying

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利用虚时间步(ITS)方法,通过对上分量的类薛定谔方程的演化,在坐标空间中求解具有非局域势的Dirac方程。证明了类薛定谔方程在局域化或不局部化的情况下,其演化过程都是等价的。由于算法简单、效率较高,在实际应用中推荐采用后一种算法。并以原子核16O为例说明了该算法的可行性和可靠性,得到了与定域有效势Dirac方程打靶法相同的结果。
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 Schrodinger-like equation for the upper component. It is demonstrated that the ITS evolution can be equivalently performed for the Schrodinger-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 16O 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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