Resonances of two-dimensional Schrödinger operators with strong magnetic fields

Tuan 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 -