Scattering resonances of large weakly open quantum graphs
In this paper, we consider a sequence of open quantum graphs, with uniformly bounded data, and we are interested in the asymptotic distribution of their scattering resonances. Supposing that the number of leads in our quantum graphs is small compared to the total number of edges, we show that most r...
Gespeichert in:
| Veröffentlicht in: | arXiv.org 2021-07 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | arXiv.org |
| container_volume | |
| creator | Ingremeau, Maxime |
| description | In this paper, we consider a sequence of open quantum graphs, with uniformly bounded data, and we are interested in the asymptotic distribution of their scattering resonances. Supposing that the number of leads in our quantum graphs is small compared to the total number of edges, we show that most resonances are close to the real axis. More precisely, the asymptotic distribution of resonances of our open quantum graphs is the same as the asymptotic distribution of the square-root of the eigenvalues of the closed quantum graphs obtained by removing all the leads. |
| doi_str_mv | 10.48550/arxiv.2012.08369 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_arxiv</sourceid><recordid>TN_cdi_arxiv_primary_2012_08369</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2470502203</sourcerecordid><originalsourceid>FETCH-LOGICAL-a523-9089d43c8c0ef89993b97a4aeda068c404f5e21cd5441d0bb65f7ae792f1b3ec3</originalsourceid><addsrcrecordid>eNotj8tOwzAQRS0kJKrSD2CFJdYJk7Gd2EtU8ZIqsaD7aOJMSkubpHYC9O8pLau7Obo6R4ibDFJtjYF7Cj_rrxQhwxSsyt2FmKBSWWI14pWYxbgBAMwLNEZNhHv3NAwc1u1KBo5dS63nKLtGbimsWH4zfW4Psuu5lfuR2mHcyVWg_iNei8uGtpFn_zsVy6fH5fwlWbw9v84fFgkZVIkD62qtvPXAjXXOqcoVpIlrgtx6DboxjJmvjdZZDVWVm6YgLhw2WaXYq6m4Pd-euso-rHcUDuVfX3nqOxJ3Z6IP3X7kOJSbbgzt0alEXYABRFDqF6ItUtA</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2470502203</pqid></control><display><type>article</type><title>Scattering resonances of large weakly open quantum graphs</title><source>arXiv.org</source><source>Free E- Journals</source><creator>Ingremeau, Maxime</creator><creatorcontrib>Ingremeau, Maxime</creatorcontrib><description>In this paper, we consider a sequence of open quantum graphs, with uniformly bounded data, and we are interested in the asymptotic distribution of their scattering resonances. Supposing that the number of leads in our quantum graphs is small compared to the total number of edges, we show that most resonances are close to the real axis. More precisely, the asymptotic distribution of resonances of our open quantum graphs is the same as the asymptotic distribution of the square-root of the eigenvalues of the closed quantum graphs obtained by removing all the leads.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.2012.08369</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Asymptotic properties ; Eigenvalues ; Graphs ; Mathematics - Mathematical Physics ; Mathematics - Spectral Theory ; Physics - Mathematical Physics ; Resonance scattering</subject><ispartof>arXiv.org, 2021-07</ispartof><rights>2021. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,784,885,27925</link.rule.ids><backlink>$$Uhttps://doi.org/10.48550/arXiv.2012.08369$$DView paper in arXiv$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.2140/paa.2022.4.49$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink></links><search><creatorcontrib>Ingremeau, Maxime</creatorcontrib><title>Scattering resonances of large weakly open quantum graphs</title><title>arXiv.org</title><description>In this paper, we consider a sequence of open quantum graphs, with uniformly bounded data, and we are interested in the asymptotic distribution of their scattering resonances. Supposing that the number of leads in our quantum graphs is small compared to the total number of edges, we show that most resonances are close to the real axis. More precisely, the asymptotic distribution of resonances of our open quantum graphs is the same as the asymptotic distribution of the square-root of the eigenvalues of the closed quantum graphs obtained by removing all the leads.</description><subject>Asymptotic properties</subject><subject>Eigenvalues</subject><subject>Graphs</subject><subject>Mathematics - Mathematical Physics</subject><subject>Mathematics - Spectral Theory</subject><subject>Physics - Mathematical Physics</subject><subject>Resonance scattering</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GOX</sourceid><recordid>eNotj8tOwzAQRS0kJKrSD2CFJdYJk7Gd2EtU8ZIqsaD7aOJMSkubpHYC9O8pLau7Obo6R4ibDFJtjYF7Cj_rrxQhwxSsyt2FmKBSWWI14pWYxbgBAMwLNEZNhHv3NAwc1u1KBo5dS63nKLtGbimsWH4zfW4Psuu5lfuR2mHcyVWg_iNei8uGtpFn_zsVy6fH5fwlWbw9v84fFgkZVIkD62qtvPXAjXXOqcoVpIlrgtx6DboxjJmvjdZZDVWVm6YgLhw2WaXYq6m4Pd-euso-rHcUDuVfX3nqOxJ3Z6IP3X7kOJSbbgzt0alEXYABRFDqF6ItUtA</recordid><startdate>20210706</startdate><enddate>20210706</enddate><creator>Ingremeau, Maxime</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20210706</creationdate><title>Scattering resonances of large weakly open quantum graphs</title><author>Ingremeau, Maxime</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a523-9089d43c8c0ef89993b97a4aeda068c404f5e21cd5441d0bb65f7ae792f1b3ec3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Asymptotic properties</topic><topic>Eigenvalues</topic><topic>Graphs</topic><topic>Mathematics - Mathematical Physics</topic><topic>Mathematics - Spectral Theory</topic><topic>Physics - Mathematical Physics</topic><topic>Resonance scattering</topic><toplevel>online_resources</toplevel><creatorcontrib>Ingremeau, Maxime</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Access via ProQuest (Open Access)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>arXiv Mathematics</collection><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ingremeau, Maxime</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Scattering resonances of large weakly open quantum graphs</atitle><jtitle>arXiv.org</jtitle><date>2021-07-06</date><risdate>2021</risdate><eissn>2331-8422</eissn><abstract>In this paper, we consider a sequence of open quantum graphs, with uniformly bounded data, and we are interested in the asymptotic distribution of their scattering resonances. Supposing that the number of leads in our quantum graphs is small compared to the total number of edges, we show that most resonances are close to the real axis. More precisely, the asymptotic distribution of resonances of our open quantum graphs is the same as the asymptotic distribution of the square-root of the eigenvalues of the closed quantum graphs obtained by removing all the leads.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.2012.08369</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | EISSN: 2331-8422 |
| ispartof | arXiv.org, 2021-07 |
| issn | 2331-8422 |
| language | eng |
| recordid | cdi_arxiv_primary_2012_08369 |
| source | arXiv.org; Free E- Journals |
| subjects | Asymptotic properties Eigenvalues Graphs Mathematics - Mathematical Physics Mathematics - Spectral Theory Physics - Mathematical Physics Resonance scattering |
| title | Scattering resonances of large weakly open quantum graphs |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-20T04%3A56%3A23IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_arxiv&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Scattering%20resonances%20of%20large%20weakly%20open%20quantum%20graphs&rft.jtitle=arXiv.org&rft.au=Ingremeau,%20Maxime&rft.date=2021-07-06&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.2012.08369&rft_dat=%3Cproquest_arxiv%3E2470502203%3C/proquest_arxiv%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2470502203&rft_id=info:pmid/&rfr_iscdi=true |