English

Thermodynamic Limits of Electronic Systems

Mathematical Physics 2023-09-12 v1 Materials Science math.MP

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.

Keywords

Cite

@article{arxiv.2309.05118,
  title  = {Thermodynamic Limits of Electronic Systems},
  author = {David Gontier and Jianfeng Lu and Christoph Ortner},
  journal= {arXiv preprint arXiv:2309.05118},
  year   = {2023}
}
R2 v1 2026-06-28T12:17:29.849Z