{"id":"https://openalex.org/W4405736104","doi":"https://doi.org/10.1007/s40314-024-03048-z","title":"Reconstruction of Schr\u00f6dinger operators by the Dirichlet and half Neumann eigenvalues","display_name":"Reconstruction of Schr\u00f6dinger operators by the Dirichlet and half Neumann eigenvalues","publication_year":2024,"publication_date":"2024-12-24","ids":{"openalex":"https://openalex.org/W4405736104","doi":"https://doi.org/10.1007/s40314-024-03048-z"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-024-03048-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-024-03048-z","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","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/A5074666285","display_name":"Junhui Yang","orcid":"https://orcid.org/0000-0003-3464-5539"},"institutions":[{"id":"https://openalex.org/I4210107780","display_name":"Xi'an Medical University","ror":"https://ror.org/01fmc2233","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210107780"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Junhui Yang","raw_affiliation_strings":["Department of Mathematics, Xi\u2019an Medical University, Xi\u2019an, 710021, People\u2019s Republic of China","Department of Mathematics, Xi'an Medical University, Xi'an, 710021, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Xi\u2019an Medical University, Xi\u2019an, 710021, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210107780"]},{"raw_affiliation_string":"Department of Mathematics, Xi'an Medical University, Xi'an, 710021, People's Republic of China","institution_ids":["https://openalex.org/I4210107780"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072573025","display_name":"Yu Bai","orcid":"https://orcid.org/0000-0002-0742-0708"},"institutions":[{"id":"https://openalex.org/I51622183","display_name":"Shaanxi University of Science and Technology","ror":"https://ror.org/034t3zs45","country_code":"CN","type":"education","lineage":["https://openalex.org/I51622183"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu Bai","raw_affiliation_strings":["School of Mathematics and Data Science, Shaanxi University of Science and Technology, Xi\u2019an, 710000, People\u2019s Republic of China","School of Mathematics and Data Science, Shaanxi University of Science and Technology, Xi'an, 710000, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Data Science, Shaanxi University of Science and Technology, Xi\u2019an, 710000, People\u2019s Republic of China","institution_ids":["https://openalex.org/I51622183"]},{"raw_affiliation_string":"School of Mathematics and Data Science, Shaanxi University of Science and Technology, Xi'an, 710000, People's Republic of China","institution_ids":["https://openalex.org/I51622183"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5074666285"],"corresponding_institution_ids":["https://openalex.org/I4210107780"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.35814318,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"44","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9998000264167786,"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":0.9998000264167786,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9986000061035156,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/dirichlet-eigenvalue","display_name":"Dirichlet eigenvalue","score":0.7087994813919067},{"id":"https://openalex.org/keywords/dirichlet-distribution","display_name":"Dirichlet distribution","score":0.6782919764518738},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6354767084121704},{"id":"https://openalex.org/keywords/schr\u00f6dingers-cat","display_name":"Schr\u00f6dinger's cat","score":0.6093795299530029},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5669307708740234},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5190199613571167},{"id":"https://openalex.org/keywords/dirichlets-principle","display_name":"Dirichlet's principle","score":0.515254557132721},{"id":"https://openalex.org/keywords/spectrum","display_name":"Spectrum (functional analysis)","score":0.49407151341438293},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.45004379749298096},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37874066829681396},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.340298056602478},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15453743934631348},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.11853805184364319},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08264988660812378}],"concepts":[{"id":"https://openalex.org/C102231394","wikidata":"https://www.wikidata.org/wiki/Q5280763","display_name":"Dirichlet eigenvalue","level":5,"score":0.7087994813919067},{"id":"https://openalex.org/C169214877","wikidata":"https://www.wikidata.org/wiki/Q981016","display_name":"Dirichlet distribution","level":3,"score":0.6782919764518738},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6354767084121704},{"id":"https://openalex.org/C194800363","wikidata":"https://www.wikidata.org/wiki/Q8588","display_name":"Schr\u00f6dinger's cat","level":2,"score":0.6093795299530029},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5669307708740234},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5190199613571167},{"id":"https://openalex.org/C148158259","wikidata":"https://www.wikidata.org/wiki/Q975727","display_name":"Dirichlet's principle","level":4,"score":0.515254557132721},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.49407151341438293},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.45004379749298096},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37874066829681396},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.340298056602478},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15453743934631348},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.11853805184364319},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08264988660812378},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-024-03048-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-024-03048-z","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1391910864","display_name":null,"funder_award_id":"2024JC-054","funder_id":"https://openalex.org/F4320336567","funder_display_name":"Natural Science Basic Research Program of Shaanxi Province"},{"id":"https://openalex.org/G1678188240","display_name":null,"funder_award_id":"2021JQ523","funder_id":"https://openalex.org/F4320336567","funder_display_name":"Natural Science Basic Research Program of Shaanxi Province"}],"funders":[{"id":"https://openalex.org/F4320336567","display_name":"Natural Science Basic Research Program of Shaanxi Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1486874193","https://openalex.org/W1534423764","https://openalex.org/W1569024867","https://openalex.org/W1770664683","https://openalex.org/W2009540024","https://openalex.org/W2041453834","https://openalex.org/W2050922390","https://openalex.org/W2052583646","https://openalex.org/W2067494620","https://openalex.org/W2090916996","https://openalex.org/W2092321671","https://openalex.org/W2096358753","https://openalex.org/W2401774420"],"related_works":["https://openalex.org/W4243654720","https://openalex.org/W2499371150","https://openalex.org/W765574399","https://openalex.org/W1618704956","https://openalex.org/W2952469864","https://openalex.org/W1976568807","https://openalex.org/W4249513910","https://openalex.org/W2041355854","https://openalex.org/W4206550534","https://openalex.org/W1994297820"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}