Strong diamagnetism form the ball in three dimensions

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Abstract

In this paper we give a detailed asymptotic formula for the lowest eigenvalue of the magnetic Neumann Schrödingeroperator in the ball in thre e 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.

Detaljer

Författare
Enheter & grupper
Forskningsområden

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Matematik

Nyckelord

Originalspråkengelska
Sidor (från-till)77-123
TidskriftAsymptotic Analysis
Volym72
Utgåva nummer1-2
StatusPublished - 2011
PublikationskategoriForskning
Peer review utfördJa