Scattering from Sparse Potentials on Graphs
We study the spectral structure of Schrodinger operators H = Δ+V for random potentials supported on sparse sets. In the past years examples of such operators whose spectra almost surely satisfy the following properties have been exhibited: Anderson localization holds outside spec(Δ), while the wave...
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| Дата: | 2008 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2008
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| Назва видання: | Журнал математической физики, анализа, геометрии |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/106499 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Scattering from Sparse Potentials on Graphs / Ph. Poulin // Журнал математической физики, анализа, геометрии. — 2008. — Т. 4, № 1. — С. 151-170. — Бібліогр.: 29 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-106499 |
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dspace |
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irk-123456789-1064992016-09-30T03:02:50Z Scattering from Sparse Potentials on Graphs Poulin, Ph. We study the spectral structure of Schrodinger operators H = Δ+V for random potentials supported on sparse sets. In the past years examples of such operators whose spectra almost surely satisfy the following properties have been exhibited: Anderson localization holds outside spec(Δ), while the wave operators Ω⁺(H, Δ) exist inside this last set. We continue this program by presenting sparseness conditions under which Ω⁺(Δ, H) also exist. 2008 Article Scattering from Sparse Potentials on Graphs / Ph. Poulin // Журнал математической физики, анализа, геометрии. — 2008. — Т. 4, № 1. — С. 151-170. — Бібліогр.: 29 назв. — англ. 1812-9471 http://dspace.nbuv.gov.ua/handle/123456789/106499 en Журнал математической физики, анализа, геометрии Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We study the spectral structure of Schrodinger operators H = Δ+V for random potentials supported on sparse sets. In the past years examples of such operators whose spectra almost surely satisfy the following properties have been exhibited: Anderson localization holds outside spec(Δ), while the wave operators Ω⁺(H, Δ) exist inside this last set. We continue this program by presenting sparseness conditions under which Ω⁺(Δ, H) also exist. |
| format |
Article |
| author |
Poulin, Ph. |
| spellingShingle |
Poulin, Ph. Scattering from Sparse Potentials on Graphs Журнал математической физики, анализа, геометрии |
| author_facet |
Poulin, Ph. |
| author_sort |
Poulin, Ph. |
| title |
Scattering from Sparse Potentials on Graphs |
| title_short |
Scattering from Sparse Potentials on Graphs |
| title_full |
Scattering from Sparse Potentials on Graphs |
| title_fullStr |
Scattering from Sparse Potentials on Graphs |
| title_full_unstemmed |
Scattering from Sparse Potentials on Graphs |
| title_sort |
scattering from sparse potentials on graphs |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2008 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/106499 |
| citation_txt |
Scattering from Sparse Potentials on Graphs / Ph. Poulin // Журнал математической физики, анализа, геометрии. — 2008. — Т. 4, № 1. — С. 151-170. — Бібліогр.: 29 назв. — англ. |
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Журнал математической физики, анализа, геометрии |
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AT poulinph scatteringfromsparsepotentialsongraphs |
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2023-10-18T20:13:05Z |
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2023-10-18T20:13:05Z |
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