English

Electronic structure models with 2D symmetries in the presence of magnetic fields

Mathematical Physics 2025-09-12 v1 math.MP

Abstract

In this work, we characterize self-adjoint operators that commute with magnetic translations. We use this characterization to derive effective kinetic energy functionals for homogeneous electron gases and three-dimensional electronic systems with two-dimensional symmetries in the presence of a magnetic field.

Keywords

Cite

@article{arxiv.2509.09049,
  title  = {Electronic structure models with 2D symmetries in the presence of magnetic fields},
  author = {Carlos J. Garcia-Cervera and Salma Lahbabi and Abdallah Maichine},
  journal= {arXiv preprint arXiv:2509.09049},
  year   = {2025}
}

Comments

29 pages, no figure