The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory Journal Article

Author(s): Frank, Rupert L; Nam, Phan Thanh; Van Den Bosch, Hanne
Article Title: The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory
Affiliation IST Austria
Abstract: We prove that in Thomas–Fermi–Dirac–von Weizsäcker theory, a nucleus of charge Z > 0 can bind at most Z + C electrons, where C is a universal constant. This result is obtained through a comparison with Thomas-Fermi theory which, as a by-product, gives bounds on the screened nuclear potential and the radius of the minimizer. A key ingredient of the proof is a novel technique to control the particles in the exterior region, which also applies to the liquid drop model with a nuclear background potential.
Journal Title: Communications on Pure and Applied Mathematics
Volume: 71
Issue 3
ISSN: 1097-0312
Publisher: Wiley-Blackwell  
Date Published: 2018-03-01
Start Page: 577
End Page: 614
DOI: 10.1002/cpa.21717
Notes: We thank the referee for helpful suggestions that improved the presentation of the paper. We also acknowledge partial support by National Science Foundation Grant DMS-1363432 (R.L.F.), Austrian Science Fund (FWF) Project Nr. P 27533-N27 (P.T.N.), CONICYT (Chile) through CONICYT–PCHA/ Doctorado Nacional/2014, and Iniciativa Científica Milenio (Chile) through Millenium Nucleus RC–120002 “Física Matemática” (H.V.D.B.).
Open access: yes (repository)
IST Austria Authors
  1. Phan Thanh Nam
    12 Nam