Strong diamagnetism for the ball in three dimensions

Details Strong diamagnetism for the ball in three dimensions Strong diamagnetism for the ball in three dimensions

2009-11-25

arxiv.org/abs/0911.4838v1

Physics

Mathematical Physics

Scientific paper

In this paper we give a detailed asymptotic formula for the lowest eigenvalue
of the magnetic Neumann Schr\"odinger 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.

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