虚时间步长法求解非定域Dirac方程
Solving the Dirac equation with nonlocal potential by Imaginary Time Step method
摘要:
利用虚时间步长(ITS)方法求解了坐标空间中具有非定域势的Dirac方程,并将ITS方法演化为相应的上分量类薛定谔方程.结果表明,ITS的发展可以等价地执行的薛定谔类方程有或没有本地化。后一种算法简单、高效,在实际应用中得到了推荐。以核$^{16}$ O为例说明了该算法的可行性和可靠性,得到了与打靶法相同的结果.
英文摘要:
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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