Related papers: The non-uniform electron gas

The non-uniform electron gas

URL: http://arxiv.org/abs/2603.21200v1
Date: Sun, 22 Mar 2026 12:39:32 GMT
Title: The non-uniform electron gas
Abstract summary: We propose a definition of the quantum (resp. classical) non-uniform electron gas.<n>The non-uniformity of the gas comes from an arbitrary lattice-periodic background density.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
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.

Related papers

Magic and entanglement in 1+1-dimensional SU(2) lattice gauge theory [37.724232080494424]
Entanglement and non-stabilizerness (magic) quantify two distinct departures of quantum systems from classical description.<n>We calculate entanglement entropy and stabilizer Rényi entropy of the ground state of the (1+1)-dimensional SU(2) lattice gauge theory.<n>We find a crossover denoted by $g_star$ where the ground state passes from a more magic-rich regime into a regime with less magic.
arXiv Detail & Related papers (2026-06-08T18:00:00Z)
Ideal Gas Law for a Quantum Particle [41.94295877935867]
We examine the validity of the ideal gas law (IGL) for a single quantum particle confined within a two-dimensional cavity.<n>For the mean pressure we take two definitions, one straightforwardly based on the radiation pressure concept and the other taking advantage of a quasi-orthogonality relation valid for billiard eigenstates.
arXiv Detail & Related papers (2025-05-21T18:25:35Z)
Quantum Phase Space Approach to the Ideal Fermi and Bose Gases [0.0]
improved models build upon the recently developed concepts of quantum phase space (QPS) and the QPS representation of quantum mechanics.<n>Work provides a foundation for further applications in nanoscale systems, quantum gases, low-temperature physics, ultracold physics, and astrophysics.
arXiv Detail & Related papers (2024-07-13T20:45:41Z)
A Theory of Quantum Jumps [44.99833362998488]
We study fluorescence and the phenomenon of quantum jumps'' in idealized models of atoms coupled to the quantized electromagnetic field. Our results amount to a derivation of the fundamental randomness in the quantum-mechanical description of microscopic systems.
arXiv Detail & Related papers (2024-04-16T11:00:46Z)
Classical dynamics and semiclassical analysis of excitons in cuprous oxide [0.0]
We present a comprehensive derivation of the classical and semiclassical theory of excitons in cuprous oxide. In particular, we investigate the energy dependence of the exciton dynamics. The agreement between semiclassical and quantum mechanical exciton recurrence spectra demonstrates the validity of the classical and semiclassical approach.
arXiv Detail & Related papers (2024-03-27T06:58:50Z)
Thermodynamic limit for the magnetic uniform electron gas and representability of density-current pairs [0.0]
We extend Lewin, Lieb and Seiringer's definition of the uniform electron gas to include the magnetic case. Our definition involves the grand-canonical version of the universal functional introduced by Vignale and Rasolt. We derive an estimate on the kinetic energy functional that also gives a convenient answer to the (mixed) current-density representability problem.
arXiv Detail & Related papers (2024-01-19T18:56:35Z)
Correspondence Between the Energy Equipartition Theorem in Classical Mechanics and its Phase-Space Formulation in Quantum Mechanics [62.997667081978825]
In quantum mechanics, the energy per degree of freedom is not equally distributed. We show that in the high-temperature regime, the classical result is recovered.
arXiv Detail & Related papers (2022-05-24T20:51:03Z)
$m^\ast$ of two-dimensional electron gas: a neural canonical transformation study [11.42424447028021]
The precise value of the effective mass of uniform electron gas is still elusive after decades of research. The newly developed neural canonical transformation approach offers a principled way to extract the effective mass of electron gas. Our calculation reveals a suppression of effective mass in the two-dimensional spin-polarized electron gas.
arXiv Detail & Related papers (2022-01-10T04:14:40Z)
Thermoelectric properties of topological chains coupled to a quantum dot [40.19796930944118]
Topological one-dimensional superconductors can sustain in their extremities zero energy modes that are protected by different kinds of symmetries. We consider the simplest kind of topological insulators, namely chains of atoms with hybridized $sp$ orbitals. We show that the electrical conductance and the Wiedemann-Franz ratio of the device at the topological transition have universal values at very low temperatures.
arXiv Detail & Related papers (2021-12-20T22:52:00Z)
Relativistic density-functional theory based on effective quantum electrodynamics [0.0]
A relativistic density-functional theory based on a Fock-space effective quantum-electrodynamics (QED) Hamiltonian is developed. A Kohn-Sham scheme is formulated in a quite similar way to non-relativistic density-functional theory. The usual no-pair Kohn-Sham scheme is obtained as a well-defined approximation to this relativistic density-functional theory.
arXiv Detail & Related papers (2021-02-20T22:43:08Z)

This list is automatically generated from the titles and abstracts of the papers in this site.