{"id":"https://openalex.org/W4403987948","doi":"https://doi.org/10.1137/23m1625378","title":"Dispersive Decay Estimates for Dirac Equations with a Domain Wall","display_name":"Dispersive Decay Estimates for Dirac Equations with a Domain Wall","publication_year":2024,"publication_date":"2024-11-01","ids":{"openalex":"https://openalex.org/W4403987948","doi":"https://doi.org/10.1137/23m1625378"},"language":"en","primary_location":{"id":"doi:10.1137/23m1625378","doi":"https://doi.org/10.1137/23m1625378","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1625378","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-a","jufo-3","norway-2","poland-140","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2307.06499","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056996410","display_name":"Joseph Kraisler","orcid":"https://orcid.org/0000-0002-9957-9352","observed_orcids":["https://orcid.org/0000-0002-9957-9352"]},"institutions":[{"id":"https://openalex.org/I177605424","display_name":"Amherst College","ror":"https://ror.org/028vqfs63","country_code":"US","type":"education","lineage":["https://openalex.org/I177605424"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Joseph Kraisler","raw_affiliation_strings":["Department of Mathematics and Statistics, Amherst College, Amherst, MA 01002 USA"],"raw_orcid":"https://orcid.org/0000-0002-9957-9352","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Amherst College, Amherst, MA 01002 USA","institution_ids":["https://openalex.org/I177605424"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031661439","display_name":"Amir Sagiv","orcid":"https://orcid.org/0000-0002-0831-216X","observed_orcids":["https://orcid.org/0000-0002-0831-216X"]},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Amir Sagiv","raw_affiliation_strings":["Faculty of Mathematics, Technion - Israel Institute of Technology, Haifa 32000, Israel"],"raw_orcid":"https://orcid.org/0000-0002-0831-216X","affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Technion - Israel Institute of Technology, Haifa 32000, Israel","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074916646","display_name":"Michael I. Weinstein","orcid":"https://orcid.org/0000-0002-6266-6604","observed_orcids":["https://orcid.org/0000-0002-6266-6604"]},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael I. Weinstein","raw_affiliation_strings":["Department of Applied Physics and Applied Mathematics and Department of Mathematics, Columbia University, New York, NY 10027 USA"],"raw_orcid":"https://orcid.org/0000-0002-6266-6604","affiliations":[{"raw_affiliation_string":"Department of Applied Physics and Applied Mathematics and Department of Mathematics, Columbia University, New York, NY 10027 USA","institution_ids":["https://openalex.org/I78577930"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.0564,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.86662153,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"56","issue":"6","first_page":"7194","last_page":"7227"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9672999978065491,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9672999978065491,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.03020000085234642,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10657","display_name":"Topological Materials and Phenomena","score":0.00039999998989515007,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/dirac-hamiltonian","display_name":"Dirac Hamiltonian","score":0.7480000257492065},{"id":"https://openalex.org/keywords/domain-walls","display_name":"domain walls","score":0.6940000057220459},{"id":"https://openalex.org/keywords/dislocations","display_name":"dislocations","score":0.7940000295639038},{"id":"https://openalex.org/keywords/time-decay-rates","display_name":"time decay rates","score":0.8109999895095825},{"id":"https://openalex.org/keywords/threshold-resonances","display_name":"threshold resonances","score":0.8489999771118164},{"id":"https://openalex.org/keywords/topologically-protected-states","display_name":"topologically protected states","score":0.796999990940094},{"id":"https://openalex.org/keywords/essential-spectrum","display_name":"essential spectrum","score":0.7200000286102295}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7394128441810608},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5927987098693848},{"id":"https://openalex.org/C61039578","wikidata":"https://www.wikidata.org/wiki/Q604279","display_name":"Dirac (video compression format)","level":3,"score":0.586347758769989},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5809734463691711},{"id":"https://openalex.org/C82601208","wikidata":"https://www.wikidata.org/wiki/Q272621","display_name":"Dirac equation","level":2,"score":0.4396223723888397},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3777536153793335},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2013598084449768},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11858147382736206},{"id":"https://openalex.org/C186453547","wikidata":"https://www.wikidata.org/wiki/Q2126","display_name":"Neutrino","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/23m1625378","doi":"https://doi.org/10.1137/23m1625378","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1625378","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-a","jufo-3","norway-2","poland-140","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2307.06499","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2307.06499","pdf_url":"https://arxiv.org/pdf/2307.06499","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2307.06499","doi":"https://doi.org/10.48550/arxiv.2307.06499","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2307.06499","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2307.06499","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2307.06499","pdf_url":"https://arxiv.org/pdf/2307.06499","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1783977315","display_name":"Waves, Novel Two-Dimensional Materials, and Applications","funder_award_id":"1908657","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5307667492","display_name":null,"funder_award_id":"#376319","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"},{"id":"https://openalex.org/G5959191678","display_name":null,"funder_award_id":"DMS-193725","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6807147672","display_name":null,"funder_award_id":"2022254","funder_id":"https://openalex.org/F4320320950","funder_display_name":"United States-Israel Binational Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"},{"id":"https://openalex.org/F4320320950","display_name":"United States-Israel Binational Science Foundation","ror":"https://ror.org/00j8z2m73"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4403987948.pdf","grobid_xml":"https://content.openalex.org/works/W4403987948.grobid-xml"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W240029891","https://openalex.org/W602593568","https://openalex.org/W647986212","https://openalex.org/W1545201582","https://openalex.org/W1584610719","https://openalex.org/W1775465556","https://openalex.org/W1969624501","https://openalex.org/W1977313409","https://openalex.org/W1988419186","https://openalex.org/W1990248598","https://openalex.org/W1994255994","https://openalex.org/W2020119386","https://openalex.org/W2037807652","https://openalex.org/W2056066066","https://openalex.org/W2060079223","https://openalex.org/W2061000251","https://openalex.org/W2102074887","https://openalex.org/W2137828489","https://openalex.org/W2152894378","https://openalex.org/W2276331605","https://openalex.org/W2521843108","https://openalex.org/W2594083997","https://openalex.org/W2625949200","https://openalex.org/W2738564618","https://openalex.org/W2802008906","https://openalex.org/W2896631037","https://openalex.org/W2898551143","https://openalex.org/W2950390858","https://openalex.org/W2963298826","https://openalex.org/W2994975974","https://openalex.org/W3037212427","https://openalex.org/W3110415318","https://openalex.org/W3136635138","https://openalex.org/W3174862972","https://openalex.org/W3181307951","https://openalex.org/W4205158945","https://openalex.org/W4211161891","https://openalex.org/W4292749542","https://openalex.org/W4384931405","https://openalex.org/W4392230213"],"related_works":["https://openalex.org/W4407103046","https://openalex.org/W3181307951","https://openalex.org/W2417408276","https://openalex.org/W2738564618","https://openalex.org/W3110415318","https://openalex.org/W2521843108","https://openalex.org/W7147364906","https://openalex.org/W4415024853","https://openalex.org/W3003009402","https://openalex.org/W1430631841"],"abstract_inverted_index":{"Abstract.":[0],"Dispersive":[1],"time-decay":[2,82,92,112],"estimates":[3,113],"are":[4,17,77,118],"proved":[5],"for":[6,114],"a":[7,65,120,125],"one-parameter":[8],"family":[9,36],"of":[10,37,43,47,54,71,124],"one-dimensional":[11,48],"Dirac":[12,25,62,115,127],"Hamiltonians":[13,26,38,116],"with":[14],"dislocations;":[15],"these":[16],"operators":[18],"which":[19,117],"interpolate":[20],"between":[21,99],"two":[22],"phase-shifted":[23],"massive":[24],"at":[27,68],"[Formula:":[28,32,58,95],"see":[29,33,59,96],"text]":[30,97],"and":[31,101],"text].":[34],"This":[35],"arises":[39],"in":[40,91],"the":[41,55,61,69,81,89,109],"theory":[42],"topologically":[44],"protected":[45],"states":[46],"quantum":[49],"materials.":[50],"For":[51],"certain":[52],"values":[53],"phase-shift":[56],"parameter,":[57],"text],":[60],"Hamiltonian":[63],"has":[64],"threshold":[66],"resonance":[67],"endpoint":[70],"its":[72],"essential":[73],"spectrum.":[74],"Such":[75],"resonances":[76],"known":[78],"to":[79,107],"influence":[80],"rate.":[83],"Our":[84,104],"main":[85],"result":[86],"explicitly":[87],"displays":[88],"transition":[90],"rate":[93],"as":[94],"varies":[98],"resonant":[100],"nonresonant":[102],"values.":[103],"results":[105],"appear":[106],"be":[108],"first":[110],"dispersive":[111],"not":[119],"relatively":[121],"compact":[122],"perturbation":[123],"free":[126],"operator.":[128]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2024-11-02T00:00:00"}