 9960 Raymond Brummelhuis, Mary Beth Ruskai
 A OneDimensional Model for ManyElectron Atoms
in Extremely Strong Magnetic Fields: Maximum Negative Ionization
(138K, latex2e, with 5 figs (fig. 2 in 2 parts))
Feb 21, 99

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Abstract. We consider a onedimensional model for manyelectron atoms in
strong magnetic fields in which the Coulomb potential and
interactions are replaced by onedimensional 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.
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9960.src(
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magfld.fin2wfg.tex ,
magfinfg1.ps ,
magfinfg2A.ps ,
magfinfg2B.ps ,
magfinfg3.ps ,
magfinfg4.ps ,
magfinfg5.ps )