99-60 Raymond Brummelhuis, Mary Beth Ruskai
A One-Dimensional Model for Many-Electron Atoms in Extremely Strong Magnetic Fields: Maximum Negative Ionization (138K, latex2e, with 5 figs (fig. 2 in 2 parts)) Feb 21, 99
Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

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 $N_{\max}$ satisfies a bound of the form $N_{\max} < 2Z+1 + c \sqrt{B}$ where $Z$ denotes the charge of the nucleus, $B$ the field strength and $c$ is a constant. We follow Lieb's strategy in which convexity plays a critical role. For the case $N=2$ with fractional nuclear charge, we also discuss the critical value $Z_c$ at which the nuclear charge becomes too weak to bind two electrons.

Files: 99-60.src( 99-60.comments , 99-60.keywords , magfld.fin2wfg.tex , magfinfg1.ps , magfinfg2A.ps , magfinfg2B.ps , magfinfg3.ps , magfinfg4.ps , magfinfg5.ps )