Weak coupling asymptotics for the Pauli operator in two dimensions
We compute asymptotic expansions for the negative eigenvalues of the Pauli operator in two dimensions perturbed by a weakly coupled potential with definite sign. Whereas previous results were limited to the case of radial magnetic fields and potentials, we are able to drop the assumption of radial s...
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext bestellen |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | |
---|---|
container_issue | |
container_start_page | |
container_title | |
container_volume | |
creator | Baur, Matthias |
description | We compute asymptotic expansions for the negative eigenvalues of the Pauli
operator in two dimensions perturbed by a weakly coupled potential with
definite sign. Whereas previous results were limited to the case of radial
magnetic fields and potentials, we are able to drop the assumption of radial
symmetry entirely. |
doi_str_mv | 10.48550/arxiv.2409.17787 |
format | Article |
fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_2409_17787</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2409_17787</sourcerecordid><originalsourceid>FETCH-arxiv_primary_2409_177873</originalsourceid><addsrcrecordid>eNpjYJA0NNAzsTA1NdBPLKrILNMzMjGw1DM0N7cw52RwCk9NzFZIzi8tyMnMS1dILK7MLSjJL8lMLlZIyy9SKMlIVQhILM3JVMgvSC1KLAEKZeYplJTnK6Rk5qbmFWfm5xXzMLCmJeYUp_JCaW4GeTfXEGcPXbBt8QVFmbmJRZXxIFvjwbYaE1YBALUTOB8</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Weak coupling asymptotics for the Pauli operator in two dimensions</title><source>arXiv.org</source><creator>Baur, Matthias</creator><creatorcontrib>Baur, Matthias</creatorcontrib><description>We compute asymptotic expansions for the negative eigenvalues of the Pauli
operator in two dimensions perturbed by a weakly coupled potential with
definite sign. Whereas previous results were limited to the case of radial
magnetic fields and potentials, we are able to drop the assumption of radial
symmetry entirely.</description><identifier>DOI: 10.48550/arxiv.2409.17787</identifier><language>eng</language><subject>Mathematics - Mathematical Physics ; Mathematics - Spectral Theory ; Physics - Mathematical Physics</subject><creationdate>2024-09</creationdate><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>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,777,882</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2409.17787$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2409.17787$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Baur, Matthias</creatorcontrib><title>Weak coupling asymptotics for the Pauli operator in two dimensions</title><description>We compute asymptotic expansions for the negative eigenvalues of the Pauli
operator in two dimensions perturbed by a weakly coupled potential with
definite sign. Whereas previous results were limited to the case of radial
magnetic fields and potentials, we are able to drop the assumption of radial
symmetry entirely.</description><subject>Mathematics - Mathematical Physics</subject><subject>Mathematics - Spectral Theory</subject><subject>Physics - Mathematical Physics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNpjYJA0NNAzsTA1NdBPLKrILNMzMjGw1DM0N7cw52RwCk9NzFZIzi8tyMnMS1dILK7MLSjJL8lMLlZIyy9SKMlIVQhILM3JVMgvSC1KLAEKZeYplJTnK6Rk5qbmFWfm5xXzMLCmJeYUp_JCaW4GeTfXEGcPXbBt8QVFmbmJRZXxIFvjwbYaE1YBALUTOB8</recordid><startdate>20240926</startdate><enddate>20240926</enddate><creator>Baur, Matthias</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20240926</creationdate><title>Weak coupling asymptotics for the Pauli operator in two dimensions</title><author>Baur, Matthias</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_2409_177873</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Mathematics - Mathematical Physics</topic><topic>Mathematics - Spectral Theory</topic><topic>Physics - Mathematical Physics</topic><toplevel>online_resources</toplevel><creatorcontrib>Baur, Matthias</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Baur, Matthias</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Weak coupling asymptotics for the Pauli operator in two dimensions</atitle><date>2024-09-26</date><risdate>2024</risdate><abstract>We compute asymptotic expansions for the negative eigenvalues of the Pauli
operator in two dimensions perturbed by a weakly coupled potential with
definite sign. Whereas previous results were limited to the case of radial
magnetic fields and potentials, we are able to drop the assumption of radial
symmetry entirely.</abstract><doi>10.48550/arxiv.2409.17787</doi><oa>free_for_read</oa></addata></record> |
fulltext | fulltext_linktorsrc |
identifier | DOI: 10.48550/arxiv.2409.17787 |
ispartof | |
issn | |
language | eng |
recordid | cdi_arxiv_primary_2409_17787 |
source | arXiv.org |
subjects | Mathematics - Mathematical Physics Mathematics - Spectral Theory Physics - Mathematical Physics |
title | Weak coupling asymptotics for the Pauli operator in two dimensions |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-18T09%3A13%3A56IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Weak%20coupling%20asymptotics%20for%20the%20Pauli%20operator%20in%20two%20dimensions&rft.au=Baur,%20Matthias&rft.date=2024-09-26&rft_id=info:doi/10.48550/arxiv.2409.17787&rft_dat=%3Carxiv_GOX%3E2409_17787%3C/arxiv_GOX%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |