On the current of large atoms in strong magnetic fields

Fournais, Søren. "On the current of large atoms in strong magnetic fields." Journées équations aux dérivées partielles (2000): 1-14. <http://eudml.org/doc/93401>.

@article{Fournais2000,
abstract = {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 $B$ and nuclear charge $Z$ satisfy $BZ^\{-3\} \rightarrow 0$. 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.},
author = {Fournais, Søren},
journal = {Journées équations aux dérivées partielles},
language = {eng},
pages = {1-14},
publisher = {Université de Nantes},
title = {On the current of large atoms in strong magnetic fields},
url = {http://eudml.org/doc/93401},
year = {2000},
}

TY - JOUR
AU - Fournais, Søren
TI - On the current of large atoms in strong magnetic fields
JO - Journées équations aux dérivées partielles
PY - 2000
PB - Université de Nantes
SP - 1
EP - 14
AB - 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 $B$ and nuclear charge $Z$ satisfy $BZ^{-3} \rightarrow 0$. 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.
LA - eng
UR - http://eudml.org/doc/93401
ER -