Journal articles
The MIT Bag Model as an infinite mass limit
Abstract : The Dirac operator, acting in three dimensions, is considered. Assuming that a large mass $m>0$ lies outside a smooth and bounded open set $\Omega\subset\R^3$, it is proved that its spectrum is approximated by the one of the Dirac operator on $\Omega$ with the MIT bag boundary condition. The approximation, which is developed up to and error of order $o(1/\sqrt m)$, is carried out by introducing tubular coordinates in a neighborhood of $\partial\Omega$ and analyzing the corresponding one dimensional optimization problems in the normal direction.
Cited literature [19 references]
https://hal-amu.archives-ouvertes.fr/hal-01863065
Contributor : Loïc Le Treust <>
Submitted on : Friday, May 24, 2019 - 8:15:18 PM
Last modification on : Friday, January 8, 2021 - 3:40:31 AM
Contributor : Loïc Le Treust <>
Submitted on : Friday, May 24, 2019 - 8:15:18 PM
Last modification on : Friday, January 8, 2021 - 3:40:31 AM
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ALMR19_8May.pdf
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