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...
Збережено в:
| Опубліковано в: : | Журнал математической физики, анализа, геометрии |
|---|---|
| Дата: | 2008 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2008
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/106499 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| 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| _version_ | 1862716328844984320 |
|---|---|
| author | Poulin, Ph. |
| author_facet | Poulin, Ph. |
| 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. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| 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.
|
| first_indexed | 2025-12-07T18:04:45Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106499 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-12-07T18:04:45Z |
| publishDate | 2008 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Poulin, Ph. 2016-09-29T17:35:37Z 2016-09-29T17:35:37Z 2008 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 https://nasplib.isofts.kiev.ua/handle/123456789/106499 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. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии Scattering from Sparse Potentials on Graphs Article published earlier |
| spellingShingle | Scattering from Sparse Potentials on Graphs Poulin, Ph. |
| title | 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_short | Scattering from Sparse Potentials on Graphs |
| title_sort | scattering from sparse potentials on graphs |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/106499 |
| work_keys_str_mv | AT poulinph scatteringfromsparsepotentialsongraphs |