A One-Dimensional Model for Many-Electron Atoms in Extremely Strong Magnetic Fields: Maximum Negative Ionization
Mathematical Physics
2016-09-07 v1 math.MP
Atomic Physics
Abstract
We consider a one-dimensional model for many-electron atoms in strong magnetic fields in which the Coulomb potential and interactions are replaced by one-dimensional regularizations associated with the lowest Landau level. For this model we show that the maximum number of electrons is bounded above by 2Z+1 + c sqrt{B}. We follow Lieb's strategy in which convexity plays a critical role. For the case of two electrons and fractional nuclear charge, we also discuss the critical value at which the nuclear charge becomes too weak to bind two electrons.
Cite
@article{arxiv.math-ph/9902025,
title = {A One-Dimensional Model for Many-Electron Atoms in Extremely Strong Magnetic Fields: Maximum Negative Ionization},
author = {Raymond Brummelhuis and Mary Beth Ruskai},
journal= {arXiv preprint arXiv:math-ph/9902025},
year = {2016}
}
Comments
23 pages, 5 figures. J. Phys. A: Math and General (in press) 1999