{"id":"https://openalex.org/W1969218161","doi":"https://doi.org/10.1109/cdc.2012.6426289","title":"Controllability of the bilinear Schrödinger equation with several controls and application to a 3D molecule","display_name":"Controllability of the bilinear Schrödinger equation with several controls and application to a 3D molecule","publication_year":2012,"publication_date":"2012-12-01","ids":{"openalex":"https://openalex.org/W1969218161","doi":"https://doi.org/10.1109/cdc.2012.6426289","mag":"1969218161"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2012.6426289","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2012.6426289","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1204.6017","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012657462","display_name":"Ugo Boscain","orcid":"https://orcid.org/0000-0001-5450-275X"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210107641","display_name":"Centre de Math\u00e9matiques Appliqu\u00e9es de l'\u00c9cole polytechnique","ror":"https://ror.org/012e1xn46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210107641","https://openalex.org/I4210141950","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210126360","display_name":"Centre Inria de Saclay","ror":"https://ror.org/0315e5x55","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210126360"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Ugo Boscain","raw_affiliation_strings":["Centre National de Recherche Scientifique (CNRS), CMAP, \u00c9cole Polytechnique, Palaiseau, France","Team GECO, INRIA, Centre de Recherche Saclay, Palaiseau, France","CMAP - Centre de Math\u00e9matiques Appliqu\u00e9es de l'Ecole polytechnique (Route de Saclay, 91128 Palaiseau Cedex - France)","GECO - Geometric Control Design (CMAP - Centre de Math\u00e9matiques Appliqu\u00e9es \u00c9cole Polytechnique Route de Saclay 91128 Palaiseau Cedex - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre National de Recherche Scientifique (CNRS), CMAP, \u00c9cole Polytechnique, Palaiseau, France","institution_ids":["https://openalex.org/I142476485","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Team GECO, INRIA, Centre de Recherche Saclay, Palaiseau, France","institution_ids":["https://openalex.org/I4210126360"]},{"raw_affiliation_string":"CMAP - Centre de Math\u00e9matiques Appliqu\u00e9es de l'Ecole polytechnique (Route de Saclay, 91128 Palaiseau Cedex - France)","institution_ids":["https://openalex.org/I4210107641","https://openalex.org/I142476485"]},{"raw_affiliation_string":"GECO - Geometric Control Design (CMAP - Centre de Math\u00e9matiques Appliqu\u00e9es \u00c9cole Polytechnique Route de Saclay 91128 Palaiseau Cedex - France)","institution_ids":["https://openalex.org/I4210107641","https://openalex.org/I142476485"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070675526","display_name":"Marco Caponigro","orcid":"https://orcid.org/0000-0002-7577-6087"},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]},{"id":"https://openalex.org/I124158823","display_name":"Conservatoire National des Arts et M\u00e9tiers","ror":"https://ror.org/0175hh227","country_code":"FR","type":"education","lineage":["https://openalex.org/I124158823","https://openalex.org/I4210134562"]}],"countries":["FR","US"],"is_corresponding":false,"raw_author_name":"Marco Caponigro","raw_affiliation_strings":["Department of Mathematical Sciences and Center for Computational and Integrative Biology, Rutgers, The State University of New Jersey, Camden, NJ, USA","Laboratoire M2N, D\u00e9partement IMATH, Conservatoire National des Arts et Metiers, Paris, France","Department of Mathematical Sciences [Camden] (Armitage Hall 311 N. 5th Street Camden, NJ 08102 - United States)","CCIB - Center for Computational and Integrative Biology [Camden] (Camden, NJ 08102 - United States)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences and Center for Computational and Integrative Biology, Rutgers, The State University of New Jersey, Camden, NJ, USA","institution_ids":["https://openalex.org/I102322142"]},{"raw_affiliation_string":"Laboratoire M2N, D\u00e9partement IMATH, Conservatoire National des Arts et Metiers, Paris, France","institution_ids":["https://openalex.org/I124158823"]},{"raw_affiliation_string":"Department of Mathematical Sciences [Camden] (Armitage Hall 311 N. 5th Street Camden, NJ 08102 - United States)","institution_ids":[]},{"raw_affiliation_string":"CCIB - Center for Computational and Integrative Biology [Camden] (Camden, NJ 08102 - United States)","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089923732","display_name":"Mario Sigalotti","orcid":"https://orcid.org/0000-0002-9013-1076"},"institutions":[{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210107641","display_name":"Centre de Math\u00e9matiques Appliqu\u00e9es de l'\u00c9cole polytechnique","ror":"https://ror.org/012e1xn46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210107641","https://openalex.org/I4210141950","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210126360","display_name":"Centre Inria de Saclay","ror":"https://ror.org/0315e5x55","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210126360"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mario Sigalotti","raw_affiliation_strings":["INRIA-Centre de Recherche Sacaly, Team GECO and CMAP, \u00c9cole Polytechnique, Palaiseau, France","GECO - Geometric Control Design (CMAP - Centre de Math\u00e9matiques Appliqu\u00e9es \u00c9cole Polytechnique Route de Saclay 91128 Palaiseau Cedex - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INRIA-Centre de Recherche Sacaly, Team GECO and CMAP, \u00c9cole Polytechnique, Palaiseau, France","institution_ids":["https://openalex.org/I142476485","https://openalex.org/I4210126360"]},{"raw_affiliation_string":"GECO - Geometric Control Design (CMAP - Centre de Math\u00e9matiques Appliqu\u00e9es \u00c9cole Polytechnique Route de Saclay 91128 Palaiseau Cedex - France)","institution_ids":["https://openalex.org/I4210107641","https://openalex.org/I142476485"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4272,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.61902729,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"52","issue":null,"first_page":"3038","last_page":"3043"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10566","display_name":"Laser-Matter Interactions and Applications","score":0.9988999962806702,"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"}},"topics":[{"id":"https://openalex.org/T10566","display_name":"Laser-Matter Interactions and Applications","score":0.9988999962806702,"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":0.9689000248908997,"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9553999900817871,"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/controllability","display_name":"Controllability","score":0.9143199920654297},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.6454001665115356},{"id":"https://openalex.org/keywords/schr\u00f6dinger-equation","display_name":"Schr\u00f6dinger equation","score":0.6350882649421692},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.6296987533569336},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.614599347114563},{"id":"https://openalex.org/keywords/wave-function","display_name":"Wave function","score":0.5804179906845093},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5213181376457214},{"id":"https://openalex.org/keywords/quantum-control","display_name":"Quantum control","score":0.5027894973754883},{"id":"https://openalex.org/keywords/unit-sphere","display_name":"Unit sphere","score":0.4850996732711792},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4750906527042389},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.4228006601333618},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.40942811965942383},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.36567389965057373},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.31229543685913086},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.235856294631958}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.9143199920654297},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.6454001665115356},{"id":"https://openalex.org/C63036615","wikidata":"https://www.wikidata.org/wiki/Q165498","display_name":"Schr\u00f6dinger equation","level":2,"score":0.6350882649421692},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.6296987533569336},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.614599347114563},{"id":"https://openalex.org/C113603373","wikidata":"https://www.wikidata.org/wiki/Q2362761","display_name":"Wave function","level":2,"score":0.5804179906845093},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5213181376457214},{"id":"https://openalex.org/C2984281365","wikidata":"https://www.wikidata.org/wiki/Q906781","display_name":"Quantum control","level":3,"score":0.5027894973754883},{"id":"https://openalex.org/C191948623","wikidata":"https://www.wikidata.org/wiki/Q1307800","display_name":"Unit sphere","level":2,"score":0.4850996732711792},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4750906527042389},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.4228006601333618},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40942811965942383},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.36567389965057373},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.31229543685913086},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.235856294631958},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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":3,"locations":[{"id":"doi:10.1109/cdc.2012.6426289","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2012.6426289","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1204.6017","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1204.6017","pdf_url":"https://arxiv.org/pdf/1204.6017","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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:HAL:hal-00691706v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00691706","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2012 IEEE 51st Annual Conference on Decision and Control (CDC), Dec 2012, Maui, HI, United States. pp.3038-3043, ⟨10.1109/CDC.2012.6426289⟩","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1204.6017","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1204.6017","pdf_url":"https://arxiv.org/pdf/1204.6017","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W8928327","https://openalex.org/W64152765","https://openalex.org/W1595765050","https://openalex.org/W1894491172","https://openalex.org/W1997885684","https://openalex.org/W1998840383","https://openalex.org/W2014947610","https://openalex.org/W2034341092","https://openalex.org/W2041277461","https://openalex.org/W2046758456","https://openalex.org/W2053914795","https://openalex.org/W2057285417","https://openalex.org/W2078915064","https://openalex.org/W2085282636","https://openalex.org/W2092090519","https://openalex.org/W2108982357","https://openalex.org/W2123046091","https://openalex.org/W2129842989","https://openalex.org/W2150944991","https://openalex.org/W2158876405","https://openalex.org/W2501142942","https://openalex.org/W2963588687","https://openalex.org/W2964341198","https://openalex.org/W3100421612","https://openalex.org/W3100923705","https://openalex.org/W3105326570","https://openalex.org/W6635824592"],"related_works":["https://openalex.org/W2036697162","https://openalex.org/W2332386680","https://openalex.org/W2561315646","https://openalex.org/W2248621902","https://openalex.org/W2003779889","https://openalex.org/W4205698120","https://openalex.org/W4239246781","https://openalex.org/W2164760767","https://openalex.org/W2542825942","https://openalex.org/W4289011132"],"abstract_inverted_index":{"We":[0],"show":[1],"the":[2,31,39,53,56],"approximate":[3,27],"rotational":[4],"controllability":[5,28],"of":[6,13,42],"a":[7,25],"polar":[8],"linear":[9,16],"molecule":[10],"by":[11],"means":[12],"three":[14],"nonresonant":[15],"polarized":[17],"laser":[18],"fields.":[19],"The":[20],"result":[21,29],"is":[22],"based":[23],"on":[24],"general":[26],"for":[30],"bilinear":[32],"Schr\u00f6dinger":[33],"equation,":[34],"with":[35,48],"wavefunction":[36],"varying":[37],"in":[38],"unit":[40],"sphere":[41],"an":[43],"infinite-dimensional":[44],"Hilbert":[45],"space":[46],"and":[47],"several":[49],"control":[50],"potentials,":[51],"under":[52],"assumption":[54],"that":[55],"internal":[57],"Hamiltonian":[58],"has":[59],"discrete":[60],"spectrum.":[61]},"counts_by_year":[{"year":2013,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2016-06-24T00:00:00"}