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Strong resonant tunneling, level repulsion and spectral type for one-dimensional adiabatic quasi-periodic Schrödinger operators. / Fedotov, Alexander; Klopp, Frédéric.
в: Annales Scientifiques de l'Ecole Normale Superieure, Том 38, № 6, 01.11.2005, стр. 889-950.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Strong resonant tunneling, level repulsion and spectral type for one-dimensional adiabatic quasi-periodic Schrödinger operators
AU - Fedotov, Alexander
AU - Klopp, Frédéric
PY - 2005/11/1
Y1 - 2005/11/1
N2 - In this paper, we consider one-dimensional adiabatic quasi-periodic Schrödinger operators in the regime of strong resonant tunneling. We show the emergence of a level repulsion phenomenon which is seen to be very naturally related to the local spectral type of the operator: the more singular the spectrum, the weaker the repulsion.
AB - In this paper, we consider one-dimensional adiabatic quasi-periodic Schrödinger operators in the regime of strong resonant tunneling. We show the emergence of a level repulsion phenomenon which is seen to be very naturally related to the local spectral type of the operator: the more singular the spectrum, the weaker the repulsion.
UR - http://www.scopus.com/inward/record.url?scp=33645062171&partnerID=8YFLogxK
U2 - 10.1016/j.ansens.2005.10.002
DO - 10.1016/j.ansens.2005.10.002
M3 - Article
AN - SCOPUS:33645062171
VL - 38
SP - 889
EP - 950
JO - Annales Scientifiques de l'Ecole Normale Superieure
JF - Annales Scientifiques de l'Ecole Normale Superieure
SN - 0012-9593
IS - 6
ER -
ID: 35927757