{"id":"https://openalex.org/W2116435692","doi":"https://doi.org/10.1109/phycon.2005.1513996","title":"Unfolding a degeneracy point of two unbound states: crossings and anticrossings of energies and widths","display_name":"Unfolding a degeneracy point of two unbound states: crossings and anticrossings of energies and widths","publication_year":2006,"publication_date":"2006-10-04","ids":{"openalex":"https://openalex.org/W2116435692","doi":"https://doi.org/10.1109/phycon.2005.1513996","mag":"2116435692"},"language":"en","primary_location":{"id":"doi:10.1109/phycon.2005.1513996","doi":"https://doi.org/10.1109/phycon.2005.1513996","is_oa":false,"landing_page_url":"https://doi.org/10.1109/phycon.2005.1513996","pdf_url":null,"source":{"id":"https://openalex.org/S4306419934","display_name":"International Conference Physics and Control","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings. 2005 International Conference Physics and Control, 2005.","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/quant-ph/0501124","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"E. Hernandez","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"E. Hernandez","raw_affiliation_strings":["Instituto de F\u00edsica, UNAM, Distrito Federal, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de F\u00edsica, UNAM, Distrito Federal, Mexico","institution_ids":["https://openalex.org/I8961855"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065415887","display_name":"A. J\u00e1uregui","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4061448","display_name":"Universidad de Sonora","ror":"https://ror.org/00c32gy34","country_code":"MX","type":"education","lineage":["https://openalex.org/I4061448"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"A. Jauregui","raw_affiliation_strings":["Departamento de F\u00edsica, Universidad de Sonora, Hermosillo, Sonora, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de F\u00edsica, Universidad de Sonora, Hermosillo, Sonora, Mexico","institution_ids":["https://openalex.org/I4061448"]}]},{"author_position":"middle","author":{"id":null,"display_name":"A. Mondragon","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"A. Mondragon","raw_affiliation_strings":["Instituto de F\u00edsica, UNAM, Distrito Federal, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de F\u00edsica, UNAM, Distrito Federal, Mexico","institution_ids":["https://openalex.org/I8961855"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024829264","display_name":"Lukas Nellen","orcid":"https://orcid.org/0000-0003-1059-8731","observed_orcids":["https://orcid.org/0000-0003-1059-8731"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"L. Nellen","raw_affiliation_strings":["Instituto de Ciencias Nucleares, UNAM, Distrito Federal, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Ciencias Nucleares, UNAM, Distrito Federal, Mexico","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.20970537,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"33","issue":null,"first_page":"293","last_page":"300"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.49779999256134033,"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":0.49779999256134033,"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/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.2971000075340271,"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"}},{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.17649999260902405,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/degeneracy-points","display_name":"degenerate points","score":0.8080000281333923},{"id":"https://openalex.org/keywords/unbound-states","display_name":"unbound states","score":0.7749999761581421},{"id":"https://openalex.org/keywords/complex-resonances","display_name":"complex resonances","score":0.7250000238418579},{"id":"https://openalex.org/keywords/exceptional-points","display_name":"exceptional points","score":0.6389999985694885},{"id":"https://openalex.org/keywords/avoided-crossings","display_name":"avoided crossings","score":0.8989999890327454},{"id":"https://openalex.org/keywords/resonance-linewidth","display_name":"resonance width","score":0.6830000281333923},{"id":"https://openalex.org/keywords/scattering-matrix-poles","display_name":"scattering matrix poles","score":0.7699999809265137},{"id":"https://openalex.org/keywords/green-s-function-poles","display_name":"Green's function poles","score":0.8619999885559082},{"id":"https://openalex.org/keywords/branch-point-singularities","display_name":"branch point singularities","score":0.7459999918937683},{"id":"https://openalex.org/keywords/contact-equivalence","display_name":"contact equivalence","score":0.8190000057220459},{"id":"https://openalex.org/keywords/unfolding","display_name":"unfolding","score":0.4970000088214874}],"concepts":[{"id":"https://openalex.org/C2777727622","wikidata":"https://www.wikidata.org/wiki/Q5251772","display_name":"Degeneracy (biology)","level":2,"score":0.7740252017974854},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.679970920085907},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.632780909538269},{"id":"https://openalex.org/C73586568","wikidata":"https://www.wikidata.org/wiki/Q2600211","display_name":"Parameter space","level":2,"score":0.5830533504486084},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.518523097038269},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.5097159743309021},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.47847697138786316},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.4781942367553711},{"id":"https://openalex.org/C174084160","wikidata":"https://www.wikidata.org/wiki/Q908049","display_name":"Bound state","level":2,"score":0.47597116231918335},{"id":"https://openalex.org/C90738871","wikidata":"https://www.wikidata.org/wiki/Q41642869","display_name":"Configuration space","level":2,"score":0.44446423649787903},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3207826614379883},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.21420204639434814},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1196042001247406},{"id":"https://openalex.org/C60644358","wikidata":"https://www.wikidata.org/wiki/Q128570","display_name":"Bioinformatics","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/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/phycon.2005.1513996","doi":"https://doi.org/10.1109/phycon.2005.1513996","is_oa":false,"landing_page_url":"https://doi.org/10.1109/phycon.2005.1513996","pdf_url":null,"source":{"id":"https://openalex.org/S4306419934","display_name":"International Conference Physics and Control","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings. 2005 International Conference Physics and Control, 2005.","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:quant-ph/0501124","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/quant-ph/0501124","pdf_url":"https://arxiv.org/pdf/quant-ph/0501124","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":"pmh:oai:cds.cern.ch:817308","doi":null,"is_oa":false,"landing_page_url":"http://cds.cern.ch/record/817308","pdf_url":null,"source":{"id":"https://openalex.org/S4306402195","display_name":"CERN Document Server (European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"doi:10.48550/arxiv.quant-ph/0501124","doi":"https://doi.org/10.48550/arxiv.quant-ph/0501124","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.quant-ph/0501124","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:quant-ph/0501124","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/quant-ph/0501124","pdf_url":"https://arxiv.org/pdf/quant-ph/0501124","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":[],"funders":[{"id":"https://openalex.org/F4320335100","display_name":"Direcci\u00f3n General de Asuntos del Personal Acad\u00e9mico, Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2116435692.pdf","grobid_xml":"https://content.openalex.org/works/W2116435692.grobid-xml"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W104035691","https://openalex.org/W1498887287","https://openalex.org/W1542343170","https://openalex.org/W1556559448","https://openalex.org/W1575147392","https://openalex.org/W1623428494","https://openalex.org/W1837132020","https://openalex.org/W1984703868","https://openalex.org/W1987020238","https://openalex.org/W1987108226","https://openalex.org/W1987609402","https://openalex.org/W1995395712","https://openalex.org/W1996154403","https://openalex.org/W1997777356","https://openalex.org/W2023536392","https://openalex.org/W2024524738","https://openalex.org/W2036136224","https://openalex.org/W2040460035","https://openalex.org/W2041078935","https://openalex.org/W2045904218","https://openalex.org/W2055759820","https://openalex.org/W2058138304","https://openalex.org/W2062708054","https://openalex.org/W2064977682","https://openalex.org/W2069850777","https://openalex.org/W2079151570","https://openalex.org/W2088489726","https://openalex.org/W2092164830","https://openalex.org/W2093382802","https://openalex.org/W2118288382","https://openalex.org/W2159837449","https://openalex.org/W2160884499","https://openalex.org/W2506632983","https://openalex.org/W2588297134","https://openalex.org/W3123870325","https://openalex.org/W4214727197","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1923294682","https://openalex.org/W2036176603","https://openalex.org/W1976478744","https://openalex.org/W2073490324","https://openalex.org/W1679164653","https://openalex.org/W2001507631","https://openalex.org/W2041876152","https://openalex.org/W2023536392","https://openalex.org/W4414880763","https://openalex.org/W2036136224"],"abstract_inverted_index":{"We":[0,82],"show":[1],"that":[2],"when":[3],"an":[4,42],"isolated":[5,121],"doublet":[6,122],"of":[7,10,19,23,37,46,77,89,94,103,108,119,123,134],"unbound":[8,96],"states":[9,97],"a":[11,90,104],"physical":[12],"system":[13],"becomes":[14],"degenerate":[15],"for":[16],"some":[17],"values":[18],"the":[20,24,26,30,38,59,64,74,78,84,115,120,126,135],"control":[21,39],"parameters":[22,40],"system,":[25],"energy":[27,33,80],"hypersurfaces":[28],"representing":[29],"complex":[31,79],"resonance":[32],"eigenvalues":[34],"as":[35],"functions":[36,109],"have":[41,69],"algebraic":[43],"branch":[44],"point":[45,93,128],"rank":[47],"one":[48,70],"in":[49,56,73,98],"parameter":[50,57,99],"space.":[51],"Associated":[52],"with":[53],"this":[54],"singularity":[55],"space,":[58],"scattering":[60],"matrix,":[61],"S_l(E),":[62],"and":[63,129],"Green's":[65],"function,":[66],"G_l^(+)(k;":[67],"r,r'),":[68],"double":[71],"pole":[72,116],"unphysical":[75],"sheet":[76],"plane.":[81],"characterize":[83],"universal":[85,105],"unfolding":[86],"or":[87],"deformation":[88],"typical":[91],"degeneracy":[92,136],"two":[95],"space":[100],"by":[101],"means":[102],"2-parameter":[106],"family":[107],"which":[110],"is":[111],"contact":[112,140],"equivalent":[113],"to":[114,139],"position":[117],"function":[118],"resonances":[124],"at":[125],"exceptional":[127],"includes":[130],"all":[131],"small":[132],"perturbations":[133],"condition":[137],"up":[138],"equivalence.":[141]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}
