{"id":"https://openalex.org/W1945337653","doi":"https://doi.org/10.3233/asy-2011-1053","title":"Resonant states for a three-body problem under an external field","display_name":"Resonant states for a three-body problem under an external field","publication_year":2011,"publication_date":"2011-10-01","ids":{"openalex":"https://openalex.org/W1945337653","doi":"https://doi.org/10.3233/asy-2011-1053","mag":"1945337653"},"language":"en","primary_location":{"id":"doi:10.3233/asy-2011-1053","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-2011-1053","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":true,"oa_status":"green","oa_url":"http://hdl.handle.net/11380/680649","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009074094","display_name":"V. Grecchi","orcid":null},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Vincenzo Grecchi","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e1 degli Studi di Bologna, Piazza di Porta San Donato 5, Bologna 40126, Italy. E-mails: {grecchi, martinez, sordoni}@dm.unibo.it"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e1 degli Studi di Bologna, Piazza di Porta San Donato 5, Bologna 40126, Italy. E-mails: {grecchi, martinez, sordoni}@dm.unibo.it","institution_ids":["https://openalex.org/I9360294"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051680078","display_name":"Hynek Kova\u0159\u00edk","orcid":"https://orcid.org/0000-0003-3647-8447"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Hynek Kova\u0159\u00edk","raw_affiliation_strings":["Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino 10129, Italy. E-mail: hynek.kovarik@polito.it"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino 10129, Italy. E-mail: hynek.kovarik@polito.it","institution_ids":["https://openalex.org/I177477856"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102927110","display_name":"Andr\u00e9 Mart\u00ednez","orcid":"https://orcid.org/0000-0002-0656-6529"},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Andr\u00e9 Martinez","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e1 degli Studi di Bologna, Piazza di Porta San Donato 5, Bologna 40126, Italy. E-mails: {grecchi, martinez, sordoni}@dm.unibo.it"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e1 degli Studi di Bologna, Piazza di Porta San Donato 5, Bologna 40126, Italy. E-mails: {grecchi, martinez, sordoni}@dm.unibo.it","institution_ids":["https://openalex.org/I9360294"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081471007","display_name":"Andrea Sacchetti","orcid":"https://orcid.org/0000-0001-6292-9251"},"institutions":[{"id":"https://openalex.org/I122346577","display_name":"University of Modena and Reggio Emilia","ror":"https://ror.org/02d4c4y02","country_code":"IT","type":"education","lineage":["https://openalex.org/I122346577"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Andrea Sacchetti","raw_affiliation_strings":["Dipartimento di Matematica Pura ed Applicata, Universit\u00e1 degli studi di Modena e Reggio Emilia, Via Campi 213/B, Modena 41100, Italy. E-mail: andrea.sacchetti@unimore.it"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica Pura ed Applicata, Universit\u00e1 degli studi di Modena e Reggio Emilia, Via Campi 213/B, Modena 41100, Italy. E-mail: andrea.sacchetti@unimore.it","institution_ids":["https://openalex.org/I122346577"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018826642","display_name":"Vania Sordoni","orcid":"https://orcid.org/0000-0003-1026-5363"},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Vania Sordoni","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e1 degli Studi di Bologna, Piazza di Porta San Donato 5, Bologna 40126, Italy. E-mails: {grecchi, martinez, sordoni}@dm.unibo.it"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e1 degli Studi di Bologna, Piazza di Porta San Donato 5, Bologna 40126, Italy. E-mails: {grecchi, martinez, sordoni}@dm.unibo.it","institution_ids":["https://openalex.org/I9360294"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5009074094"],"corresponding_institution_ids":["https://openalex.org/I9360294"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.0665234,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"75","issue":"1-2","first_page":"37","last_page":"77"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9997000098228455,"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":0.9997000098228455,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10093","display_name":"Nuclear physics research studies","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy 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/semiclassical-physics","display_name":"Semiclassical physics","score":0.8680067658424377},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5919740796089172},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5640724301338196},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5285531282424927},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5237952470779419},{"id":"https://openalex.org/keywords/ion","display_name":"Ion","score":0.4960578382015228},{"id":"https://openalex.org/keywords/atomic-physics","display_name":"Atomic physics","score":0.4908667206764221},{"id":"https://openalex.org/keywords/stark-effect","display_name":"Stark effect","score":0.46373263001441956},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.4000295400619507},{"id":"https://openalex.org/keywords/electric-field","display_name":"Electric field","score":0.21358951926231384},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1996125876903534},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13747063279151917},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.06575939059257507},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.05971142649650574}],"concepts":[{"id":"https://openalex.org/C535169671","wikidata":"https://www.wikidata.org/wiki/Q17080006","display_name":"Semiclassical physics","level":3,"score":0.8680067658424377},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5919740796089172},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5640724301338196},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5285531282424927},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5237952470779419},{"id":"https://openalex.org/C145148216","wikidata":"https://www.wikidata.org/wiki/Q36496","display_name":"Ion","level":2,"score":0.4960578382015228},{"id":"https://openalex.org/C184779094","wikidata":"https://www.wikidata.org/wiki/Q26383","display_name":"Atomic physics","level":1,"score":0.4908667206764221},{"id":"https://openalex.org/C50126897","wikidata":"https://www.wikidata.org/wiki/Q389407","display_name":"Stark effect","level":3,"score":0.46373263001441956},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.4000295400619507},{"id":"https://openalex.org/C60799052","wikidata":"https://www.wikidata.org/wiki/Q46221","display_name":"Electric field","level":2,"score":0.21358951926231384},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1996125876903534},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13747063279151917},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.06575939059257507},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.05971142649650574},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3233/asy-2011-1053","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-2011-1053","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"},{"id":"pmh:oai:cris.unibo.it:11585/106343","is_oa":false,"landing_page_url":"http://hdl.handle.net/11585/106343","pdf_url":null,"source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:iris.unibs.it:11379/124519","is_oa":false,"landing_page_url":"http://hdl.handle.net/11379/124519","pdf_url":null,"source":{"id":"https://openalex.org/S4306400804","display_name":"Institutional Research Information System (Universit\u00e0 degli Studi di Brescia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"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":"info:eu-repo/semantics/article"},{"id":"pmh:oai:iris.unimore.it:11380/680649","is_oa":true,"landing_page_url":"http://hdl.handle.net/11380/680649","pdf_url":null,"source":{"id":"https://openalex.org/S4306400718","display_name":"IRIS UNIMORE (University of Modena and Reggio Emilia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122346577","host_organization_name":"University of Modena and Reggio Emilia","host_organization_lineage":["https://openalex.org/I122346577"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:iris.unimore.it:11380/680649","is_oa":true,"landing_page_url":"http://hdl.handle.net/11380/680649","pdf_url":null,"source":{"id":"https://openalex.org/S4306400718","display_name":"IRIS UNIMORE (University of Modena and Reggio Emilia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122346577","host_organization_name":"University of Modena and Reggio Emilia","host_organization_lineage":["https://openalex.org/I122346577"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"score":0.8500000238418579,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W563070304","https://openalex.org/W1215452643","https://openalex.org/W1575147392","https://openalex.org/W1895928181","https://openalex.org/W1973655223","https://openalex.org/W1983997293","https://openalex.org/W1993333279","https://openalex.org/W2006718018","https://openalex.org/W2018094839","https://openalex.org/W2031245150","https://openalex.org/W2036568572","https://openalex.org/W2058776967","https://openalex.org/W2064486317","https://openalex.org/W2070016036","https://openalex.org/W2073842717","https://openalex.org/W2075205429","https://openalex.org/W2080034762","https://openalex.org/W2085611962","https://openalex.org/W2114599246","https://openalex.org/W2151752974","https://openalex.org/W2182100224","https://openalex.org/W2584531390","https://openalex.org/W2964101977"],"related_works":["https://openalex.org/W3018725393","https://openalex.org/W4287813962","https://openalex.org/W2034836031","https://openalex.org/W4386936339","https://openalex.org/W2083201620","https://openalex.org/W2159694670","https://openalex.org/W3100645819","https://openalex.org/W2601891586","https://openalex.org/W2163343265","https://openalex.org/W2000402520"],"abstract_inverted_index":{"Here":[0],"we":[1,30,63],"consider":[2,31],"one":[3],"of":[4,24,36,42,57,77,79,92],"the":[5,15,22,32,37,43,51,74,80,89,93],"basic":[6],"models":[7],"for":[8],"many-body":[9],"problems":[10],"under":[11,21],"an":[12,25,84],"external":[13,26,85],"field:":[14],"molecule":[16,44],"ion":[17,45],"H":[18,46],"2":[19,47],"+":[20,48],"effect":[23],"Stark-type":[27,86],"potential.":[28],"If":[29],"vibrational":[33,81],"energy":[34,78],"levels":[35,82],"first":[38],"two":[39],"electronic":[40],"states":[41],"then,":[49],"in":[50,73],"semiclassical":[52],"limit":[53],"and":[54],"by":[55],"means":[56],"a":[58],"suitable":[59],"modified":[60],"Born\u2013Oppenheimer":[61],"method,":[62],"can":[64],"prove":[65],"that":[66],"they":[67],"switch":[68],"to":[69],"sharp":[70],"resonances":[71],"localized":[72],"same":[75,90],"interval":[76],"when":[83],"field,":[87],"with":[88],"direction":[91],"nuclear":[94],"axis,":[95],"occurs.":[96]},"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-03T09:05:47.796612","created_date":"2025-10-10T00:00:00"}
