{"id":"https://openalex.org/W2802201989","doi":"https://doi.org/10.1007/978-3-319-75996-8_5","title":"Quantum graph with the Dirac operator and resonance states completeness","display_name":"Quantum graph with the Dirac operator and resonance states completeness","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2802201989","doi":"https://doi.org/10.1007/978-3-319-75996-8_5","mag":"2802201989"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-75996-8_5","doi":"https://doi.org/10.1007/978-3-319-75996-8_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-75996-8_5","pdf_url":null,"source":{"id":"https://openalex.org/S2764910388","display_name":"Operator theory","issn_l":"0255-0156","issn":["0255-0156","2296-4878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","norway-1"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Operator Theory: Advances and Applications","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W4230760343","display_name":"The Diversity and Beauty of Applied Operator Theory"},"type":"book-chapter","is_traditional":true,"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/A5053271634","display_name":"Irina V. Blinova","orcid":"https://orcid.org/0000-0003-2115-2479","observed_orcids":["https://orcid.org/0000-0003-2115-2479"]},"institutions":[{"id":"https://openalex.org/I173089394","display_name":"ITMO University","ror":"https://ror.org/04txgxn49","country_code":"RU","type":"education","lineage":["https://openalex.org/I173089394"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Irina V. Blinova","raw_affiliation_strings":["ITMO University, Kronverkskiy, 49, St. Petersburg, 197101, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ITMO University, Kronverkskiy, 49, St. Petersburg, 197101, Russia","institution_ids":["https://openalex.org/I173089394"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052879266","display_name":"I. Yu. Popov","orcid":"https://orcid.org/0000-0002-5251-5327","observed_orcids":["https://orcid.org/0000-0002-5251-5327"]},"institutions":[{"id":"https://openalex.org/I173089394","display_name":"ITMO University","ror":"https://ror.org/04txgxn49","country_code":"RU","type":"education","lineage":["https://openalex.org/I173089394"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Igor Y. Popov","raw_affiliation_strings":["ITMO University, Kronverkskiy, 49, St. Petersburg, 197101, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ITMO University, Kronverkskiy, 49, St. Petersburg, 197101, Russia","institution_ids":["https://openalex.org/I173089394"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5053271634"],"corresponding_institution_ids":["https://openalex.org/I173089394"],"apc_list":null,"apc_paid":null,"fwci":8.2028,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.9646918,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"111","last_page":"124"},"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/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.0,"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.0,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quantum-graphs","display_name":"quantum graphs","score":0.996999979019165},{"id":"https://openalex.org/keywords/dirac-operator","display_name":"Dirac operator","score":0.9900000095367432},{"id":"https://openalex.org/keywords/resonant-states","display_name":"resonant states","score":0.8640000224113464},{"id":"https://openalex.org/keywords/graphs-with-loops","display_name":"graphs with loops","score":0.9919999837875366},{"id":"https://openalex.org/keywords/functional-model","display_name":"functional model","score":0.6669999957084656}],"concepts":[{"id":"https://openalex.org/C164886730","wikidata":"https://www.wikidata.org/wiki/Q7269054","display_name":"Quantum graph","level":3,"score":0.8626812100410461},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7345156669616699},{"id":"https://openalex.org/C158650840","wikidata":"https://www.wikidata.org/wiki/Q907439","display_name":"Dirac operator","level":2,"score":0.6319953799247742},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.5269399881362915},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5169474482536316},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.505521297454834},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.45850852131843567},{"id":"https://openalex.org/C139210041","wikidata":"https://www.wikidata.org/wiki/Q2145840","display_name":"Resonance (particle physics)","level":2,"score":0.45531803369522095},{"id":"https://openalex.org/C61039578","wikidata":"https://www.wikidata.org/wiki/Q604279","display_name":"Dirac (video compression format)","level":3,"score":0.4436336159706116},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4188153147697449},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38636836409568787},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3532484173774719},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.33215028047561646},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32649075984954834},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.205519437789917},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14658799767494202},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"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/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/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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-75996-8_5","doi":"https://doi.org/10.1007/978-3-319-75996-8_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-75996-8_5","pdf_url":null,"source":{"id":"https://openalex.org/S2764910388","display_name":"Operator theory","issn_l":"0255-0156","issn":["0255-0156","2296-4878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","norway-1"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Operator Theory: Advances and Applications","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3042387471","https://openalex.org/W3141666603","https://openalex.org/W2919821784","https://openalex.org/W2739435844","https://openalex.org/W2738256321","https://openalex.org/W2803799702","https://openalex.org/W4408572358","https://openalex.org/W3198178988","https://openalex.org/W4389236373","https://openalex.org/W2376996490"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2019,"cited_by_count":3}],"updated_date":"2026-10-10T09:11:00.788812","created_date":"2018-05-17T00:00:00"}
