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首页> 外文期刊>Physica, A. Statistical mechanics and its applications >Uniform quantized electron gas: Radiation correction
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Uniform quantized electron gas: Radiation correction

机译：均匀量化电子气：辐射校正

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In this paper we analyze how radiation effects influence the correlation functions, the excess energy, and in turn the electron correlation energy of the quantized electron gas at temperature T = 0. To that aim we resort to a statistical mechanical description of the quantum problem of electron correlations, based on the path integral formalism. In previous works we studied and found accurate results for the usual situation with the electrostatic Coulomb interaction. Here the additional problem with radiation is taken into account. This is facilitated by the equivalence to a dielectric fluid for which correlation functions for dipolar moments are established. From these functions follows the usual density-density (or charge-charge) correlation function needed for the longitudinal electrostatic problem, and in addition the one needed for the transverse radiation problem. While electrostatic excess energy is negative, the transverse one is positive. This quantity is small and decreases rapidly for decreasing densities. However, for high densities it approaches the electrostatic contribution, eventually becoming even larger. The part of the transverse energy from induced correlations turns out to be very small. Also, the non-local longitudinal and transverse dielectric constants of the electron gas are identified from the induced correlation functions. (C) 2020 Elsevier B.V. All rights reserved.
机译：在本文中，我们分析了辐射效应如何影响相关函数，过量能量，并且在温度T = 0时向量化电子气体的电子相关能量。到这一目标我们遵循量子问题的统计机械描述基于路径整体形式主义的电子相关性。在以前的作品中，我们研究并找到了静电库相互作用的通常情况的准确结果。这里考虑了辐射的额外问题。通过对等当量的介电流体促进，该介电流体建立了偶极矩的相关函数。从这些功能遵循纵向静电问题所需的通常密度 - 密度（或电荷）相关函数，另外还需要横向辐射问题所需的密度密度相关函数。虽然静电过量能量为负，但横向的电量为正。该数量很小，随着密度而迅速降低。然而，对于高密度，它接近静电贡献，最终变得更大。来自诱导相关性的横向能量的部分变得非常小。而且，电子气体的非局部纵向和横向介电常数从诱导的相关函数识别。 （c）2020 Elsevier B.v.保留所有权利。

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