Pushing the Limits of the Periodic Table -A Review on Atomic Relativistic Electronic Structure Theory and Calculations for the Superheavy Elements * - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Physics Reports Année : 2023

Pushing the Limits of the Periodic Table -A Review on Atomic Relativistic Electronic Structure Theory and Calculations for the Superheavy Elements *

Odile R. Smits
  • Fonction : Auteur
Paul Indelicato
Peter Schwerdtfeger
  • Fonction : Auteur
  • PersonId : 875816

Résumé

We review the progress in atomic structure theory with a focus on superheavy elements and the aim to predict their ground state configuration and element's placement in the periodic table. To understand the electronic structure and correlations in the regime of large atomic numbers, it is important to correctly solve the Dirac equation in strong Coulomb fields, and also to take into account quantum electrodynamic effects. We specifically focus on the fundamental difficulties encountered when dealing with the many-particle Dirac equation. We further discuss the possibility for future many-electron atomic structure calculations going beyond the critical nuclear charge \(Z_{\rm crit}\approx 170\), where levels such as the \(1s\) shell dive into the negative energy continuum (\(E_{n\kappa}<-m_ec^2\)). The nature of the resulting Gamow states within a rigged Hilbert space formalism is highlighted.
Fichier principal
Vignette du fichier
ReviewPaper.pdf (8.18 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03884148 , version 1 (06-12-2022)

Licence

Paternité

Identifiants

Citer

Odile R. Smits, Paul Indelicato, Witold Nazarewicz, Morten Piibeleht, Peter Schwerdtfeger. Pushing the Limits of the Periodic Table -A Review on Atomic Relativistic Electronic Structure Theory and Calculations for the Superheavy Elements *. Physics Reports, 2023, 1035, pp.1-57. ⟨10.1016/j.physrep.2023.09.004⟩. ⟨hal-03884148⟩
144 Consultations
82 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More