English

The ionization problem in quantum mechanics

Mathematical Physics 2022-07-01 v1 math.MP

Abstract

While it is well-known experimentally that a neutral atom can bind at most one or two extra electrons, deriving this fact rigorously from first principles of quantum mechanics remains a very challenging problem, often referred to as the ionization conjecture. We will review some of Elliott H. Lieb's fundamental contributions to this topic and discuss their impacts on several recent developments.

Keywords

Cite

@article{arxiv.2206.15393,
  title  = {The ionization problem in quantum mechanics},
  author = {Phan Thành Nam},
  journal= {arXiv preprint arXiv:2206.15393},
  year   = {2022}
}

Comments

22 pages. Contribution to a book in honour of Elliott H. Lieb's 90th birthday, edited by R. L. Frank, A. Laptev, M. Lewin and R. Seiringer, EMS Publishing House (2022)

R2 v1 2026-06-24T12:09:58.704Z