{"id":"https://openalex.org/W2295516117","doi":"https://doi.org/10.3233/asy-151298","title":"Resonances for the radial Dirac operators","display_name":"Resonances for the radial Dirac operators","publication_year":2015,"publication_date":"2015-07-17","ids":{"openalex":"https://openalex.org/W2295516117","doi":"https://doi.org/10.3233/asy-151298","mag":"2295516117"},"language":"en","primary_location":{"id":"doi:10.3233/asy-151298","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-151298","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027627634","display_name":"Alexei Iantchenko","orcid":"https://orcid.org/0000-0001-5094-8500"},"institutions":[{"id":"https://openalex.org/I183111857","display_name":"Malm\u00f6 University","ror":"https://ror.org/05wp7an13","country_code":"SE","type":"education","lineage":["https://openalex.org/I183111857"]},{"id":"https://openalex.org/I4210136184","display_name":"Studief\u00f6rbundet N\u00e4ringsliv och Samh\u00e4lle","ror":"https://ror.org/04dxwt824","country_code":"SE","type":"education","lineage":["https://openalex.org/I4210136184"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Alexei Iantchenko","raw_affiliation_strings":["Teknik och samh\u00e4lle","Malm\u00f6 h\u00f6gskola, Teknik och samh\u00e4lle, Malm\u00f6, Sweden. E-mail:\u00a0ai@mah.se"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Teknik och samh\u00e4lle","institution_ids":["https://openalex.org/I4210136184"]},{"raw_affiliation_string":"Malm\u00f6 h\u00f6gskola, Teknik och samh\u00e4lle, Malm\u00f6, Sweden. E-mail:\u00a0ai@mah.se","institution_ids":["https://openalex.org/I183111857"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031215099","display_name":"Evgeny Korotyaev","orcid":"https://orcid.org/0000-0003-4441-3248"},"institutions":[{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Evgeny Korotyaev","raw_affiliation_strings":["St. Petersburg State University","Mathematical Physics Department, Faculty of Physics, St. Petersburg State University, St. Petersburg, Russia. E-mail:\u00a0korotyaev@gmail.com"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"St. Petersburg State University","institution_ids":["https://openalex.org/I172901346"]},{"raw_affiliation_string":"Mathematical Physics Department, Faculty of Physics, St. Petersburg State University, St. Petersburg, Russia. E-mail:\u00a0korotyaev@gmail.com","institution_ids":["https://openalex.org/I172901346"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5027627634"],"corresponding_institution_ids":["https://openalex.org/I183111857","https://openalex.org/I4210136184"],"apc_list":{"value":4150,"currency":"USD","value_usd":4150},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.15765876,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"93","issue":"4","first_page":"327","last_page":"370"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":1.0,"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":1.0,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/fredholm-determinant","display_name":"Fredholm determinant","score":0.8931636214256287},{"id":"https://openalex.org/keywords/dirac","display_name":"Dirac (video compression format)","score":0.7343193888664246},{"id":"https://openalex.org/keywords/dirac-operator","display_name":"Dirac operator","score":0.6902755498886108},{"id":"https://openalex.org/keywords/scattering","display_name":"Scattering","score":0.532921314239502},{"id":"https://openalex.org/keywords/trace","display_name":"TRACE (psycholinguistics)","score":0.5279019474983215},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5227232575416565},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5178499817848206},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5078292489051819},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4991273880004883},{"id":"https://openalex.org/keywords/operator-matrix","display_name":"Operator matrix","score":0.48246151208877563},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.47716397047042847},{"id":"https://openalex.org/keywords/s-matrix","display_name":"S-matrix","score":0.47232502698898315},{"id":"https://openalex.org/keywords/s-matrix-theory","display_name":"S-matrix theory","score":0.42083829641342163},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3960672616958618},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3874804973602295},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.2802428603172302}],"concepts":[{"id":"https://openalex.org/C2776333733","wikidata":"https://www.wikidata.org/wiki/Q3045336","display_name":"Fredholm determinant","level":2,"score":0.8931636214256287},{"id":"https://openalex.org/C61039578","wikidata":"https://www.wikidata.org/wiki/Q604279","display_name":"Dirac (video compression format)","level":3,"score":0.7343193888664246},{"id":"https://openalex.org/C158650840","wikidata":"https://www.wikidata.org/wiki/Q907439","display_name":"Dirac operator","level":2,"score":0.6902755498886108},{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.532921314239502},{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.5279019474983215},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5227232575416565},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5178499817848206},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5078292489051819},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4991273880004883},{"id":"https://openalex.org/C2992500303","wikidata":"https://www.wikidata.org/wiki/Q5680845","display_name":"Operator matrix","level":2,"score":0.48246151208877563},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.47716397047042847},{"id":"https://openalex.org/C161094330","wikidata":"https://www.wikidata.org/wiki/Q581505","display_name":"S-matrix","level":3,"score":0.47232502698898315},{"id":"https://openalex.org/C2776275307","wikidata":"https://www.wikidata.org/wiki/Q649466","display_name":"S-matrix theory","level":3,"score":0.42083829641342163},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3960672616958618},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3874804973602295},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2802428603172302},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C186453547","wikidata":"https://www.wikidata.org/wiki/Q2126","display_name":"Neutrino","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/asy-151298","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-151298","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W984696021","https://openalex.org/W1518303125","https://openalex.org/W1552987673","https://openalex.org/W1560842590","https://openalex.org/W1779125990","https://openalex.org/W1868510333","https://openalex.org/W1897255720","https://openalex.org/W1965251946","https://openalex.org/W1967241018","https://openalex.org/W1971551140","https://openalex.org/W1983287517","https://openalex.org/W1986331851","https://openalex.org/W1993442440","https://openalex.org/W1995737702","https://openalex.org/W2003115626","https://openalex.org/W2013294594","https://openalex.org/W2014698679","https://openalex.org/W2015109824","https://openalex.org/W2017592525","https://openalex.org/W2033831075","https://openalex.org/W2037065062","https://openalex.org/W2046113327","https://openalex.org/W2053440160","https://openalex.org/W2072628872","https://openalex.org/W2083323718","https://openalex.org/W2085129692","https://openalex.org/W2095580630","https://openalex.org/W2216754853","https://openalex.org/W2312921823","https://openalex.org/W2963318075","https://openalex.org/W2964078867","https://openalex.org/W2964301836","https://openalex.org/W3098187311","https://openalex.org/W3100302779","https://openalex.org/W3107026760","https://openalex.org/W3216034703","https://openalex.org/W4244802324","https://openalex.org/W4245209597","https://openalex.org/W6638360694","https://openalex.org/W6645913885"],"related_works":["https://openalex.org/W3099132055","https://openalex.org/W2245230904","https://openalex.org/W4327638662","https://openalex.org/W2062928731","https://openalex.org/W2049292210","https://openalex.org/W2174861585","https://openalex.org/W3014254155","https://openalex.org/W3149472806","https://openalex.org/W2067264808","https://openalex.org/W2295516117"],"abstract_inverted_index":{"Abstract":[0],"We":[1,11,29],"consider":[2],"the":[3,15,23,31,35,44,49],"radial":[4],"Dirac":[5],"operator":[6],"with":[7],"compactly":[8],"supported":[9],"potentials.":[10],"study":[12],"resonances":[13],"as":[14,22],"poles":[16],"of":[17,25,34,39,54],"scattering":[18],"matrix":[19],"or":[20],"equivalently":[21],"zeros":[24],"modified":[26],"Fredholm":[27],"determinant.":[28],"obtain":[30],"following":[32],"properties":[33],"resonances:":[36],"(1)":[37],"asymptotics":[38],"counting":[40],"function,":[41],"(2)":[42],"in":[43,52],"massless":[45],"case":[46],"we":[47],"get":[48],"trace":[50],"formula":[51],"terms":[53],"resonances.":[55]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
