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arXiv:2309.05118 (math-ph)
[Submitted on 10 Sep 2023 ]

Title: Thermodynamic Limits of Electronic Systems

Title: 电子系统的热力学极限

Authors:David Gontier, Jianfeng Lu, Christoph Ortner
Abstract: We review thermodynamic limits and scaling limits of electronic structure models for condensed matter. We discuss several mathematical ways to implement these limits in three models of increasing chemical complexity and mathematical difficulty: (1) Thomas-Fermi like models; (2) Hartree-Fock like models; and (3) Kohn-Sham density functional theory models.
Abstract: 我们回顾凝聚态电子结构模型的热力学极限和尺度极限。 我们讨论在三个化学复杂性和数学难度逐渐增加的模型中实现这些极限的几种数学方法:(1) 蒂莫西-费米类似模型;(2) 霍特里-福克类似模型;和(3) 科恩-申普密度泛函理论模型。
Subjects: Mathematical Physics (math-ph) ; Materials Science (cond-mat.mtrl-sci)
Cite as: arXiv:2309.05118 [math-ph]
  (or arXiv:2309.05118v1 [math-ph] for this version)
  https://doi.org/10.48550/arXiv.2309.05118
arXiv-issued DOI via DataCite
Related DOI: https://doi.org/10.1007/978-3-031-22340-2_6
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Submission history

From: David Gontier [view email]
[v1] Sun, 10 Sep 2023 19:38:00 UTC (2,928 KB)
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