# Schrödinger Operator on the Zigzag Half-Nanotube in Magnetic Field

Mathematical Modelling of Natural Phenomena (2010)

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

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topIantchenko, 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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