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Magnetic Effects in Curved Quantum Waveguides
- 1.0433717 - ÚJF 2015 RIV CH eng J - Journal Article
Krejčiřík, David - Raymond, N.
Magnetic Effects in Curved Quantum Waveguides.
Annales Henri Poincare. Roč. 15, č. 10 (2014), s. 1993-2024. ISSN 1424-0637. E-ISSN 1424-0661
R&D Projects: GA ČR GAP203/11/0701
Institutional support: RVO:61389005
Keywords : Schrödinger operator * cross section * asymptotic behavior
Subject RIV: BE - Theoretical Physics
Impact factor: 1.643, year: 2014
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.
Permanent Link: http://hdl.handle.net/11104/0237907
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