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The MIT bag model as an infinite mass limit. (Le modèle MIT bag obtenu comme une limite de masse grande.) (English. French summary) Zbl 1420.35094
Summary: The Dirac operator, acting in three dimensions, is considered. Assuming that a large mass \(m>0\) lies outside a smooth enough and bounded open set \(\Omega \subset \mathbb{R}^3\), it is proved that its spectrum approximates the one of the Dirac operator on \(\Omega \) with the MIT bag boundary condition. The approximation, modulo an error of order \(o(1/\sqrt{m})\), is carried out by introducing tubular coordinates in a neighborhood of \(\partial \Omega \) and analyzing one dimensional optimization problems in the normal direction.

35J60 Nonlinear elliptic equations
81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis
35P15 Estimates of eigenvalues in context of PDEs
Full Text: DOI
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