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Title: Resonances of two-dimensional Schrödinger operators with strong magnetic fields
Authors: Duong, Anh Tuan
Keywords: Schrödinger Operator
Strong Magnetic Field
Resonance Width
Issue Date: 2012
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Serdica Mathematical Journal, Vol. 38, No 4, (2012), 539p-574p
Abstract: The purpose of this paper is to study the Schrödinger operator P(B,w) = (Dx-By^2+Dy^2+w^2x^2+V(x,y),(x,y) О R^2, with the magnetic field B large enough and the constant w № 0 is fixed and proportional to the strength of the electric field. Under certain assumptions on the potential V, we prove the existence of resonances near Landau levels as B®Ґ. Moreover, we show that the width of resonances is of size O(B^-Ґ).
Description: 2010 Mathematics Subject Classification: 81Q20 (35P25, 81V10).
ISSN: 1310-6600
Appears in Collections:Volume 38, Number 4

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