Schrödinger Operator on the Zigzag Half-Nanotube in Magnetic Field

A. Iantchenko; E. Korotyaev

Mathematical Modelling of Natural Phenomena (2010)

  • Volume: 5, Issue: 4, page 175-197
  • ISSN: 0973-5348

Abstract

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We consider the zigzag half-nanotubes (tight-binding approximation) in a uniform magnetic field which is described by the magnetic Schrödinger operator with a periodic potential plus a finitely supported perturbation. We describe all eigenvalues and resonances of this operator, and theirs dependence on the magnetic field. The proof is reduced to the analysis of the periodic Jacobi operators on the half-line with finitely supported perturbations.

How to cite

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Iantchenko, A., and Korotyaev, E.. "Schrödinger Operator on the Zigzag Half-Nanotube in Magnetic Field." Mathematical Modelling of Natural Phenomena 5.4 (2010): 175-197. <http://eudml.org/doc/197656>.

@article{Iantchenko2010,
abstract = {We consider the zigzag half-nanotubes (tight-binding approximation) in a uniform magnetic field which is described by the magnetic Schrödinger operator with a periodic potential plus a finitely supported perturbation. We describe all eigenvalues and resonances of this operator, and theirs dependence on the magnetic field. The proof is reduced to the analysis of the periodic Jacobi operators on the half-line with finitely supported perturbations.},
author = {Iantchenko, A., Korotyaev, E.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {nanotubes; Jacobi operator; periodic; finite support perturbation; resonances},
language = {eng},
month = {5},
number = {4},
pages = {175-197},
publisher = {EDP Sciences},
title = {Schrödinger Operator on the Zigzag Half-Nanotube in Magnetic Field},
url = {http://eudml.org/doc/197656},
volume = {5},
year = {2010},
}

TY - JOUR
AU - Iantchenko, A.
AU - Korotyaev, E.
TI - Schrödinger Operator on the Zigzag Half-Nanotube in Magnetic Field
JO - Mathematical Modelling of Natural Phenomena
DA - 2010/5//
PB - EDP Sciences
VL - 5
IS - 4
SP - 175
EP - 197
AB - We consider the zigzag half-nanotubes (tight-binding approximation) in a uniform magnetic field which is described by the magnetic Schrödinger operator with a periodic potential plus a finitely supported perturbation. We describe all eigenvalues and resonances of this operator, and theirs dependence on the magnetic field. The proof is reduced to the analysis of the periodic Jacobi operators on the half-line with finitely supported perturbations.
LA - eng
KW - nanotubes; Jacobi operator; periodic; finite support perturbation; resonances
UR - http://eudml.org/doc/197656
ER -

References

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