0101853 - UJF-V 20043036 RIV GB eng J - Journal Article
Exner, Pavel - Němcová, Kateřina
Magnetic layers with periodic point perturbations.
[Magnetické vrstvy s periodickými bodovými reakcemi.]
Reports on Mathematical Physics. Roč. 52, č. 2 (2003), s. 255-280. ISSN 0034-4877. E-ISSN 1879-0674
R&D Projects: GA AV ČR IAA1048101
Institutional research plan: CEZ:AV0Z1048901
Keywords : Schrodinger operator with magnetic field * Dirichlet layer
Subject RIV: BE - Theoretical Physics
Impact factor: 0.489, year: 2003

We study spectral properties of a spinless quantum particle confined to an infinite planar layer with hard walls, which interacts with a periodic lattice of point perturbations and a homogeneous magnetic field perpendicular to the layer. It is supposed that the lattice cell contains a finite number of impurities and the flux through the cell is rational. Using the Landau-Zak transformation, we convert the problem into investigation of the corresponding fiber operators which is performed by means of Krein's formula. This yields an explicit description of the spectral bands, which may be absolutely continuous or degenerate, depending on the parameters of the model

Jsou studovány spektrální vlastnosti bezspinové kvantové částice, uvězněné v nekonečné rovinné vrstvě s neprostupnými stěnami, interagující s periodickou mřížkou bodových interakcí a homogenním magnetickým polem kolmým na vrstvu.
Permanent Link: http://hdl.handle.net/11104/0009243