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arXiv 2203.05951physics.chem-phphysics.comp-ph
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距离分离密度泛函理论的光电离和芯共振:铍原子的一般形式和例子

Photoionization and core resonances from range-separated density-functional theory: General formalism and example of the beryllium atom

Karno Schwinn, Felipe Zapata, Antoine Levitt, Eric Cancès, Eleonora Luppi, Julien Toulouse

摘要:

探讨了线性响应距离分离含时密度泛函理论(TDDFT)计算光电离光谱的优点。我们考虑了距离分离TDDFT的两种变体,即使用全局距离分离参数的时间相关距离分离混合(TDRSH)方案和使用局部距离分离参数的时间相关局部距离分离混合(TDLRSH)方案,并与标准时间相关局部密度近似(TDLDA)和时间相关Hartree-Fock(TDHF)进行了比较。我们展示了如何计算光电离光谱与这些方法使用Sternheimer方法制定在一个非正交B样条基组与适当的频率依赖的边界条件。我们说明这些方法的光电离光谱的Be原子,特别是集中在核心共振。TDRSH和TDLRSH光电离光谱被发现构成了一个很大的改进TDLDA光电离光谱和一个更温和的改进TDHF光电离光谱。

英文摘要:

We explore the merits of linear-response range-separated time-dependent density-functional theory (TDDFT) for the calculation of photoionization spectra. We consider two variants of range-separated TDDFT, namely the timedependent range-separated hybrid (TDRSH) scheme which uses a global range-separation parameter and the timedependent locally range-separated hybrid (TDLRSH) which uses a local range-separation parameter, and compare with standard time-dependent local-density approximation (TDLDA) and time-dependent Hartree-Fock (TDHF). We show how to calculate photoionization spectra with these methods using the Sternheimer approach formulated in a nonorthogonal B-spline basis set with appropriate frequency-dependent boundary conditions. We illustrate these methods on the photoionization spectrum of the Be atom, focusing in particular on the core resonances. Both the TDRSH and TDLRSH photoionization spectra are found to constitute a large improvement over the TDLDA photoionization spectrum and a more modest improvement over the TDHF photoionization spectrum.

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