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finite support perturbation

Mathematical Modelling of Natural Phenomena (1)

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Schrödinger Operator on the Zigzag Half-Nanotube in MagneticField
A. Iantchenko, E. Korotyaev
Journal:

Mathematical Modelling of Natural Phenomena / Volume 5 / Issue 4 / 2010

Published online by Cambridge University Press:

12 May 2010, pp. 175-197

Print publication:

2010
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We consider the zigzag half-nanotubes (tight-binding approximation) in a uniform magneticfield which is described by the magnetic Schrödinger operator with a periodic potentialplus a finitely supported perturbation. We describe all eigenvalues and resonances of thisoperator, and theirs dependence on the magnetic field. The proof is reduced to theanalysis of the periodic Jacobi operators on the half-line with finitely supportedperturbations.