Straight Quantum Waveguide with Robin Boundary Conditions
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 conditi...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2007 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2007
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147220 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Straight Quantum Waveguide with Robin Boundary Conditions / M. Jílek // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 25 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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Jílek, M. 2019-02-13T19:16:37Z 2019-02-13T19:16:37Z 2007 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 https://nasplib.isofts.kiev.ua/handle/123456789/147220 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Straight Quantum Waveguide with Robin Boundary Conditions Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Straight Quantum Waveguide with Robin Boundary Conditions |
| spellingShingle |
Straight Quantum Waveguide with Robin Boundary Conditions Jílek, M. |
| title_short |
Straight Quantum Waveguide with Robin Boundary Conditions |
| title_full |
Straight Quantum Waveguide with Robin Boundary Conditions |
| title_fullStr |
Straight Quantum Waveguide with Robin Boundary Conditions |
| title_full_unstemmed |
Straight Quantum Waveguide with Robin Boundary Conditions |
| title_sort |
straight quantum waveguide with robin boundary conditions |
| author |
Jílek, M. |
| author_facet |
Jílek, M. |
| publishDate |
2007 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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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| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/147220 |
| citation_txt |
Straight Quantum Waveguide with Robin Boundary Conditions / M. Jílek // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 25 назв. — англ. |
| work_keys_str_mv |
AT jilekm straightquantumwaveguidewithrobinboundaryconditions |
| first_indexed |
2025-12-07T19:31:28Z |
| last_indexed |
2025-12-07T19:31:28Z |
| _version_ |
1850879129793069056 |