Correlated energy from radial density-energy relations.

Correlated energy from radial density-energy relations.
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DOI:
10.1098/rsos.221402
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发表时间:
2023-03
影响因子:
3.5
通讯作者:
Cox, Hazel
Cox, Hazel
中科院分区:
综合性期刊3区
文献类型:
--
作者:
Baskerville, Adam L.;Gray, Conor;Cox, Hazel

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在这里,我们证明了径向分布函数可以映射到径向密度-能量空间,对于类氦系统的基态和激发态,径向密度和径向能量之间的关系是线性的;由此产生的直线的梯度传递了所考虑的态的能量。为了利用这一发现,利用拟合过程,得到了所考虑的体系在最可能核-电子距离处总能量的简单解析表达式。
Here, we demonstrate that the radial distribution function can be mapped into a radial density–energy space and the relationship between the radial density and radial energy is linear for the ground and excited states of helium-like systems; the gradient of the resulting straight line delivers the energy of the state considered. To utilize this finding, a simple analytical expression for the total energy in terms of the density at the most probable nucleus–electron distance of the systems considered is derived using a fitting procedure.
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