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Quantum Thermodynamics Quantum Chemistry

The non-uniform electron gas

arXiv
Authors: Mihaly A. Csirik, Andre Laestadius

Year

2026

Paper ID

35893

Status

Preprint

Abstract Read

~2 min

Abstract Words

102

Citations

N/A

Abstract

The non-uniform (or inhomogeneous) electron gas has received much attention in many-body quantum mechanics and quantum chemistry in the early days of density functional theory, mainly as a theoretical device to construct gradient approximations via linear response theory. In this article, motivated by the recent works of Lewin, Lieb and Seiringer, we propose a definition of the quantum (resp. classical) non-uniform electron gas through the use of the grand-canonical Levy-Lieb functional (resp. the grand-canonical strictly correlated electrons functional), establish these systems as rigorous thermodynamic limits and analyze their basic properties. The non-uniformity of the gas comes from an arbitrary lattice-periodic background density.

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  • This paper contributes to the Quantum Thermodynamics research area in the Quantum Articles archive.
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  • The non-uniform (or inhomogeneous) electron gas has received much attention in many-body quantum mechanics and quantum chemistry in the early days of density functional theory...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2603.21200 [2] arXiv https://arxiv.org/abs/2603.21200 [3] Publisher https://arxiv.org/abs/2603.21200

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