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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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2007 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2007
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/147220 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Straight Quantum Waveguide with Robin Boundary Conditions / M. Jílek // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 25 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862732352260669440 |
|---|---|
| author | Jílek, M. |
| author_facet | Jílek, M. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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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| first_indexed | 2025-12-07T19:31:28Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147220 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T19:31:28Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Straight Quantum Waveguide with Robin Boundary Conditions Jílek, M. |
| title | 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_short | Straight Quantum Waveguide with Robin Boundary Conditions |
| title_sort | straight quantum waveguide with robin boundary conditions |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147220 |
| work_keys_str_mv | AT jilekm straightquantumwaveguidewithrobinboundaryconditions |