Geodesic
Resonances of two-dimensional Schrödinger operators with strong magnetic fields
Serdica Mathematical Journal, Tome 38 (2012) no. 4, pp. 539-574.

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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).
Keywords: Schrödinger Operator, Strong Magnetic Field, Resonances, Resonance Width 
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     author = {Duong, Anh Tuan},
     title = {Resonances of two-dimensional {Schr\"odinger} operators with strong magnetic fields},
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Duong, Anh Tuan. Resonances of two-dimensional Schrödinger operators with strong magnetic fields. Serdica Mathematical Journal, Tome 38 (2012) no. 4, pp. 539-574. http://geodesic.mathdoc.fr/item/SMJ2_2012_38_4_a1/