Magnetic Effects in Curved Quantum Waveguides

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F14%3A00433717" target="_blank" >RIV/61389005:_____/14:00433717 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1007/s00023-013-0298-9" target="_blank" >http://dx.doi.org/10.1007/s00023-013-0298-9</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00023-013-0298-9" target="_blank" >10.1007/s00023-013-0298-9</a>

Result language

angličtina

Original language name

Magnetic Effects in Curved Quantum Waveguides

Original language description

The interplay among the spectrum, geometry and magnetic field in tubular neighbourhoods of curves in Euclidean spaces is investigated in the limit when the cross section shrinks to a point. Proving a norm resolvent convergence, we derive effective, lower-dimensional models which depend on the intensity of the magnetic field and curvatures. The results are used to establish complete asymptotic expansions for eigenvalues. Spectral stability properties based on Hardy-type inequalities induced by magnetic fields are also analysed.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BE - Theoretical physics

OECD FORD branch

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Project

<a href="/en/project/GAP203%2F11%2F0701" target="_blank" >GAP203/11/0701: Guided Quantum Dynamics</a><br>

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2014

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Annales Henri Poincare

ISSN

1424-0637

e-ISSN

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Volume of the periodical

15

Issue of the periodical within the volume

10

Country of publishing house

CH - SWITZERLAND

Number of pages

32

Pages from-to

1993-2024

UT code for WoS article

000341908400006

EID of the result in the Scopus database

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