Straight Quantum Waveguide with Robin Boundary Conditions

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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Бібліографічні деталі
Дата:2007
Автор: Jílek, M.
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2007
Назва видання:Symmetry, Integrability and Geometry: Methods and Applications
Онлайн доступ:http://dspace.nbuv.gov.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
id irk-123456789-147220
record_format dspace
spelling irk-123456789-1472202019-02-14T01:26:54Z Straight Quantum Waveguide with Robin Boundary Conditions Jílek, M. 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. 2007 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
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.
format Article
author Jílek, M.
spellingShingle Jílek, M.
Straight Quantum Waveguide with Robin Boundary Conditions
Symmetry, Integrability and Geometry: Methods and Applications
author_facet Jílek, M.
author_sort Jílek, M.
title Straight Quantum Waveguide with Robin Boundary Conditions
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
publisher Інститут математики НАН України
publishDate 2007
url http://dspace.nbuv.gov.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.
series Symmetry, Integrability and Geometry: Methods and Applications
work_keys_str_mv AT jilekm straightquantumwaveguidewithrobinboundaryconditions
first_indexed 2023-05-20T17:27:00Z
last_indexed 2023-05-20T17:27:00Z
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