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Strong diamagnetism for the ball in three dimensions

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  • Department of Mathematical Sciences
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.
Original languageEnglish
JournalAsymptotic Analysis
Volume72
Issue1-2
Pages (from-to)77-123
Number of pages47
ISSN0921-7134
DOIs
Publication statusPublished - 2011

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