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Strong diamagnetism for the ball in three dimensions

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  • Institut for Matematiske Fag
In this paper we give a detailed asymptotic formula for the lowest eigenvalue of the magnetic Neumann Schrödinger operator in the ball in three dimensions with constant magnetic field, as the strength of the magnetic field tends to infinity. This asymptotic formula is used to prove that the eigenvalue is monotonically increasing for large values of the magnetic field.
OriginalsprogEngelsk
TidsskriftAsymptotic Analysis
Vol/bind72
Nummer1-2
Sider (fra-til)77-123
Antal sider47
ISSN0921-7134
DOI
StatusUdgivet - 2011

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