The complex basis function (CBF) method is a square-integrable ( L 2 ) function method that represents continuum wave functions, and has been applied successfully to various problems, including the calculation of resonance state energies and photoionization cross sections. The previous applications of this method have been limited to non-relativistic problems, and no serious attempt has been made for the relativistic Hamiltonian. In this study, we calculated the photoionization cross sections from the imaginary part of the frequency-dependent polarizability by applying the CBF method to the inhomogeneous Dirac equation of the one-electron uranium cation. The results obtained by employing a pure Coulomb potential to the K-shell photoionization cross sections were in good agreement with previous theoretical values and experimental values for the neutral uranium atom. Phase shifts were obtained by matching the CBF solutions with the numerical ones, which were furthe...

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相对论复基函数法对单电子铀阳离子的K-壳光电离截面

复数基函数（CBF）方法是代表连续波函数的平方可积（L 2）函数方法，已成功应用于各种问题，包括共振态能量的计算和光电离截面。该方法的先前应用仅限于非相对论的问题，并且还没有对相对论的哈密顿量进行认真的尝试。在这项研究中，我们通过将CBF方法应用于单电子铀阳离子的非均质Dirac方程，从依赖于频率的极化率的虚部计算出光电离截面。通过对K壳光电离截面采用纯库仑势获得的结果与先前的理论值和中性铀原子的实验值非常吻合。通过将CBF解决方案与数值解相匹配来获得相移，这是进一步的...