Adiabatic evolution and shape resonances:
"Motivated by a problem of one mode approximation for a non-linear evolution with charge accumulation in potential wells, we consider a general linear adiabatic evolution problem for a semi-classical Schrodinger operator with a time dependent potential with a well in an island. In particular, w...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Mathematical Society
2022
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
Volume 280, Number 1380 (third of 8 numbers) |
| Schlagworte: | |
| Zusammenfassung: | "Motivated by a problem of one mode approximation for a non-linear evolution with charge accumulation in potential wells, we consider a general linear adiabatic evolution problem for a semi-classical Schrodinger operator with a time dependent potential with a well in an island. In particular, we show that we can choose the adiabatic parameter with ln , where h denotes the semi-classical parameter, and get adiabatic approximations of exact solutions over a time interval of length N with an error O(). Here N 0 is arbitrary"-- |
| Beschreibung: | Includes bibliographical references |
| Beschreibung: | v, 90 Seiten |
| ISBN: | 9781470454210 |
Internformat
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| 100 | 1 | |a Hitrik, Michael |0 (DE-588)1177817659 |4 aut | |
| 245 | 1 | 0 | |a Adiabatic evolution and shape resonances |c Michael Hitrik ; Andrea Mantile ; Johannes Sjöstrand |
| 264 | 1 | |a Providence, RI |b American Mathematical Society |c 2022 | |
| 264 | 4 | |c © 2022 | |
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v Volume 280, Number 1380 (third of 8 numbers) | |
| 500 | |a Includes bibliographical references | ||
| 520 | 3 | |a "Motivated by a problem of one mode approximation for a non-linear evolution with charge accumulation in potential wells, we consider a general linear adiabatic evolution problem for a semi-classical Schrodinger operator with a time dependent potential with a well in an island. In particular, we show that we can choose the adiabatic parameter with ln , where h denotes the semi-classical parameter, and get adiabatic approximations of exact solutions over a time interval of length N with an error O(). Here N 0 is arbitrary"-- | |
| 653 | 0 | |a Mathematical physics | |
| 653 | 0 | |a Adiabatic invariants | |
| 653 | 0 | |a Partial differential equations -- Qualitative properties of solutions -- Resonances | |
| 653 | 0 | |a Partial differential equations -- Elliptic equations and systems -- Schrödinger operator | |
| 653 | 0 | |a Partial differential equations -- Spectral theory and eigenvalue problems -- Asymptotic distribution of eigenvalues and eigenfunctions | |
| 653 | 0 | |a Partial differential equations -- Pseudodifferential operators and other generalizations of partial differential operators -- Pseudodifferential operators | |
| 700 | 1 | |a Mantile, Andrea |0 (DE-588)1299392741 |4 aut | |
| 700 | 1 | |a Sjöstrand, Johannes |0 (DE-588)121416615 |4 aut | |
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Datensatz im Suchindex
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| author | Hitrik, Michael Mantile, Andrea Sjöstrand, Johannes |
| author_GND | (DE-588)1177817659 (DE-588)1299392741 (DE-588)121416615 |
| author_facet | Hitrik, Michael Mantile, Andrea Sjöstrand, Johannes |
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| author_sort | Hitrik, Michael |
| author_variant | m h mh a m am j s js |
| building | Verbundindex |
| bvnumber | BV048684530 |
| ctrlnum | (OCoLC)1365560478 (DE-599)KXP1831296721 |
| dewey-full | 515/.7242 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.7242 |
| dewey-search | 515/.7242 |
| dewey-sort | 3515 47242 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Book |
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| id | DE-604.BV048684530 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T21:26:11Z |
| indexdate | 2024-07-10T09:46:02Z |
| institution | BVB |
| isbn | 9781470454210 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-034058837 |
| oclc_num | 1365560478 |
| open_access_boolean | |
| owner | DE-29T DE-83 DE-355 DE-BY-UBR DE-11 |
| owner_facet | DE-29T DE-83 DE-355 DE-BY-UBR DE-11 |
| physical | v, 90 Seiten |
| publishDate | 2022 |
| publishDateSearch | 2022 |
| publishDateSort | 2022 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Hitrik, Michael (DE-588)1177817659 aut Adiabatic evolution and shape resonances Michael Hitrik ; Andrea Mantile ; Johannes Sjöstrand Providence, RI American Mathematical Society 2022 © 2022 v, 90 Seiten txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society Volume 280, Number 1380 (third of 8 numbers) Includes bibliographical references "Motivated by a problem of one mode approximation for a non-linear evolution with charge accumulation in potential wells, we consider a general linear adiabatic evolution problem for a semi-classical Schrodinger operator with a time dependent potential with a well in an island. In particular, we show that we can choose the adiabatic parameter with ln , where h denotes the semi-classical parameter, and get adiabatic approximations of exact solutions over a time interval of length N with an error O(). Here N 0 is arbitrary"-- Mathematical physics Adiabatic invariants Partial differential equations -- Qualitative properties of solutions -- Resonances Partial differential equations -- Elliptic equations and systems -- Schrödinger operator Partial differential equations -- Spectral theory and eigenvalue problems -- Asymptotic distribution of eigenvalues and eigenfunctions Partial differential equations -- Pseudodifferential operators and other generalizations of partial differential operators -- Pseudodifferential operators Mantile, Andrea (DE-588)1299392741 aut Sjöstrand, Johannes (DE-588)121416615 aut Erscheint auch als Online-Ausgabe 978-1-4704-7280-1 Memoirs of the American Mathematical Society Volume 280, Number 1380 (third of 8 numbers) (DE-604)BV008000141 1380 |
| spellingShingle | Hitrik, Michael Mantile, Andrea Sjöstrand, Johannes Adiabatic evolution and shape resonances Memoirs of the American Mathematical Society |
| title | Adiabatic evolution and shape resonances |
| title_auth | Adiabatic evolution and shape resonances |
| title_exact_search | Adiabatic evolution and shape resonances |
| title_exact_search_txtP | Adiabatic evolution and shape resonances |
| title_full | Adiabatic evolution and shape resonances Michael Hitrik ; Andrea Mantile ; Johannes Sjöstrand |
| title_fullStr | Adiabatic evolution and shape resonances Michael Hitrik ; Andrea Mantile ; Johannes Sjöstrand |
| title_full_unstemmed | Adiabatic evolution and shape resonances Michael Hitrik ; Andrea Mantile ; Johannes Sjöstrand |
| title_short | Adiabatic evolution and shape resonances |
| title_sort | adiabatic evolution and shape resonances |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT hitrikmichael adiabaticevolutionandshaperesonances AT mantileandrea adiabaticevolutionandshaperesonances AT sjostrandjohannes adiabaticevolutionandshaperesonances |