The Magnetic Laplacian in Shrinking Tubular Neighborhoods of Hypersurfaces

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F15%3A00454087" target="_blank" >RIV/61389005:_____/15:00454087 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21340/15:00222326
Result on the web
<a href="http://dx.doi.org/10.1007/s12220-014-9525-y" target="_blank" >http://dx.doi.org/10.1007/s12220-014-9525-y</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s12220-014-9525-y" target="_blank" >10.1007/s12220-014-9525-y</a>

Result language
angličtina
Original language name
The Magnetic Laplacian in Shrinking Tubular Neighborhoods of Hypersurfaces
Original language description
The Dirichlet Laplacian between two parallel hypersurfaces in Euclidean spaces of any dimension in the presence of a magnetic field is considered in the limit when the distance between the hypersurfaces tends to zero. We show that the Laplacian convergesin a norm-resolvent sense to a Schrodinger operator on the limiting hypersurface whose electromagnetic potential is expressed in terms of principal curvatures and the projection of the ambient vector potential to the hypersurface. As an application, weobtain an effective approximation of bound-state energies and eigenfunctions in thin quantum layers.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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