# Resonances of two-dimensional Schrödinger operators with strong magnetic fields

Serdica Mathematical Journal (2012)

- Volume: 38, Issue: 4, page 539-574
- ISSN: 1310-6600

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topTuan Duong, Anh. "Resonances of two-dimensional Schrödinger operators with strong magnetic fields." Serdica Mathematical Journal 38.4 (2012): 539-574. <http://eudml.org/doc/288272>.

@article{TuanDuong2012,

abstract = {2010 Mathematics Subject Classification: 81Q20 (35P25, 81V10).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).},

author = {Tuan Duong, Anh},

journal = {Serdica Mathematical Journal},

keywords = {Schrödinger Operator; Strong Magnetic Field; Resonances; Resonance Width},

language = {eng},

number = {4},

pages = {539-574},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Resonances of two-dimensional Schrödinger operators with strong magnetic fields},

url = {http://eudml.org/doc/288272},

volume = {38},

year = {2012},

}

TY - JOUR

AU - Tuan Duong, Anh

TI - Resonances of two-dimensional Schrödinger operators with strong magnetic fields

JO - Serdica Mathematical Journal

PY - 2012

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 38

IS - 4

SP - 539

EP - 574

AB - 2010 Mathematics Subject Classification: 81Q20 (35P25, 81V10).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).

LA - eng

KW - Schrödinger Operator; Strong Magnetic Field; Resonances; Resonance Width

UR - http://eudml.org/doc/288272

ER -

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