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dc.contributor.author |
Jílek, M. |
|
dc.date.accessioned |
2019-02-13T19:16:37Z |
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dc.date.available |
2019-02-13T19:16:37Z |
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dc.date.issued |
2007 |
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dc.identifier.citation |
Straight Quantum Waveguide with Robin Boundary Conditions / M. Jílek // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 25 назв. — англ. |
uk_UA |
dc.identifier.issn |
1815-0659 |
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dc.identifier.other |
2000 Mathematics Subject Classification: 47F05; 47B25; 81Q05 |
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dc.identifier.uri |
http://dspace.nbuv.gov.ua/handle/123456789/147220 |
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dc.description.abstract |
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. |
uk_UA |
dc.description.sponsorship |
This paper is a contribution to the Proceedings of the 3-rd Microconference “Analytic and Algebraic Methods III”. The author thanks the referees for helpful suggestions. |
uk_UA |
dc.language.iso |
en |
uk_UA |
dc.publisher |
Інститут математики НАН України |
uk_UA |
dc.relation.ispartof |
Symmetry, Integrability and Geometry: Methods and Applications |
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dc.title |
Straight Quantum Waveguide with Robin Boundary Conditions |
uk_UA |
dc.type |
Article |
uk_UA |
dc.status |
published earlier |
uk_UA |
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