Straight Quantum Waveguide with Robin Boundary Conditions
Vernadsky National Library of Ukraine
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Title |
Straight Quantum Waveguide with Robin Boundary Conditions
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Creator |
Jílek, M.
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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.
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Date |
2019-02-13T19:16:37Z
2019-02-13T19:16:37Z 2007 |
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Type |
Article
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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 |
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Language |
en
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Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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Publisher |
Інститут математики НАН України
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