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In this talk I will discuss recent results on the magnetisation/current of large atoms in strong magnetic fields. It is known from the work (E. Lieb, J.P. Solovej, and J. Yngvason, “Asymptotics of heavy atoms in high magnetic fields: II. Semiclassical regions”, Commun. Math. Phys. (1994), no. 161, 77-124) of Lieb, Solovej and Yngvason that the energy and density of atoms in strong magnetic fields are given to highest order by a Magnetic Thomas Fermi theory (MTF-theory) when the magnetic field strength and nuclear charge satisfy . It is, however, equally interesting to establish whether MTF-theory also gives the right asymptotic current. In this talk we will prove that this is indeed the case, at least for moderate magnetic fields. However, we will also prove that approximate ground states do not in general give the right asymptotics for the current.
@incollection{JEDP_2000____A4_0,
author = {Fournais, S{\o}ren},
title = {On the current of large atoms in strong magnetic fields},
booktitle = {},
series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
eid = {4},
pages = {1--14},
publisher = {Universit\'e de Nantes},
year = {2000},
doi = {10.5802/jedp.568},
mrnumber = {1775680},
zbl = {01808694},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5802/jedp.568/}
}
TY - JOUR AU - Fournais, Søren TI - On the current of large atoms in strong magnetic fields JO - Journées équations aux dérivées partielles PY - 2000 SP - 1 EP - 14 PB - Université de Nantes UR - http://geodesic.mathdoc.fr/articles/10.5802/jedp.568/ DO - 10.5802/jedp.568 LA - en ID - JEDP_2000____A4_0 ER -
Fournais, Søren. On the current of large atoms in strong magnetic fields. Journées équations aux dérivées partielles (2000), article no. 4, 14 p.. doi: 10.5802/jedp.568
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