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Straight Quantum Waveguide with Robin Boundary Conditions

Vernadsky National Library of Ukraine

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Title Straight Quantum Waveguide with Robin Boundary Conditions
 
Creator Jílek, M.
 
Description We investigate spectral properties of a quantum particle confined to an infinite straight planar strip by imposing Robin boundary conditions with variable coupling. Assuming that the coupling function tends to a constant at infinity, we localize the essential spectrum and derive a sufficient condition which guarantees the existence of bound states. Further properties of the associated eigenvalues and eigenfunctions are studied numerically by the mode-matching technique.
 
Date 2019-02-13T19:16:37Z
2019-02-13T19:16:37Z
2007
 
Type Article
 
Identifier Straight Quantum Waveguide with Robin Boundary Conditions / M. Jílek // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 25 назв. — англ.
1815-0659
2000 Mathematics Subject Classification: 47F05; 47B25; 81Q05
http://dspace.nbuv.gov.ua/handle/123456789/147220
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України