{"id":"https://openalex.org/W1973742313","doi":"https://doi.org/10.1007/s10898-005-6015-6","title":"Spin Dynamics: A Paradigm for Time Optimal Control on Compact Lie Groups","display_name":"Spin Dynamics: A Paradigm for Time Optimal Control on Compact Lie Groups","publication_year":2006,"publication_date":"2006-07-01","ids":{"openalex":"https://openalex.org/W1973742313","doi":"https://doi.org/10.1007/s10898-005-6015-6","mag":"1973742313"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-005-6015-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-005-6015-6","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"Journal of Global Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://figshare.com/articles/journal_contribution/Spin_dynamics_A_paradigm_for_time_optimal_control_on_compact_lie_groups/27432492","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008990663","display_name":"Gunther Dirr","orcid":"https://orcid.org/0000-0002-0718-4661"},"institutions":[{"id":"https://openalex.org/I25974101","display_name":"University of W\u00fcrzburg","ror":"https://ror.org/00fbnyb24","country_code":"DE","type":"education","lineage":["https://openalex.org/I25974101"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"G. Dirr","raw_affiliation_strings":["Mathematical Institute, W\u00fcrzburg University, Am Hubland, 97074, W\u00fcrzburg, Germany","Mathematical Institute, W\u00fcrzburg University, W\u00fcrzburg, Germany 97074#TAB#"],"affiliations":[{"raw_affiliation_string":"Mathematical Institute, W\u00fcrzburg University, Am Hubland, 97074, W\u00fcrzburg, Germany","institution_ids":["https://openalex.org/I25974101"]},{"raw_affiliation_string":"Mathematical Institute, W\u00fcrzburg University, W\u00fcrzburg, Germany 97074#TAB#","institution_ids":["https://openalex.org/I25974101"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018855024","display_name":"Uwe Helmke","orcid":null},"institutions":[{"id":"https://openalex.org/I25974101","display_name":"University of W\u00fcrzburg","ror":"https://ror.org/00fbnyb24","country_code":"DE","type":"education","lineage":["https://openalex.org/I25974101"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"U. helmke","raw_affiliation_strings":["Mathematical Institute, W\u00fcrzburg University, Am Hubland, 97074, W\u00fcrzburg, Germany","Mathematical Institute, W\u00fcrzburg University, W\u00fcrzburg, Germany 97074#TAB#"],"affiliations":[{"raw_affiliation_string":"Mathematical Institute, W\u00fcrzburg University, Am Hubland, 97074, W\u00fcrzburg, Germany","institution_ids":["https://openalex.org/I25974101"]},{"raw_affiliation_string":"Mathematical Institute, W\u00fcrzburg University, W\u00fcrzburg, Germany 97074#TAB#","institution_ids":["https://openalex.org/I25974101"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015357417","display_name":"Knut H\u00fcper","orcid":null},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]},{"id":"https://openalex.org/I42894916","display_name":"Data61","ror":"https://ror.org/03q397159","country_code":"AU","type":"other","lineage":["https://openalex.org/I1292875679","https://openalex.org/I2801453606","https://openalex.org/I42894916","https://openalex.org/I4387156119"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"K. H\u00fcper","raw_affiliation_strings":["Dept. of Information Engineering, Research School of Information Sciences and Engineering, SEACS Program, National ICT Australia, Canberra Research Laboratory, Australian National University, Locked Bag 8001, Canberra ACT 2601, Canberra ACT 0200, Australia","Dept. of Information Engineering, Research School of Information Sciences and Engineering, SEACS Program, National ICT Australia, Canberra Research Laboratory, Australian National University, Aust ...#TAB#"],"affiliations":[{"raw_affiliation_string":"Dept. of Information Engineering, Research School of Information Sciences and Engineering, SEACS Program, National ICT Australia, Canberra Research Laboratory, Australian National University, Locked Bag 8001, Canberra ACT 2601, Canberra ACT 0200, Australia","institution_ids":["https://openalex.org/I118347636","https://openalex.org/I42894916"]},{"raw_affiliation_string":"Dept. of Information Engineering, Research School of Information Sciences and Engineering, SEACS Program, National ICT Australia, Canberra Research Laboratory, Australian National University, Aust ...#TAB#","institution_ids":["https://openalex.org/I118347636"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055847035","display_name":"Martin Kleinsteuber","orcid":"https://orcid.org/0000-0002-4323-9260"},"institutions":[{"id":"https://openalex.org/I25974101","display_name":"University of W\u00fcrzburg","ror":"https://ror.org/00fbnyb24","country_code":"DE","type":"education","lineage":["https://openalex.org/I25974101"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"M. Kleinsteuber","raw_affiliation_strings":["Mathematical Institute, W\u00fcrzburg University, Am Hubland, 97074, W\u00fcrzburg, Germany","Mathematical Institute, W\u00fcrzburg University, W\u00fcrzburg, Germany 97074#TAB#"],"affiliations":[{"raw_affiliation_string":"Mathematical Institute, W\u00fcrzburg University, Am Hubland, 97074, W\u00fcrzburg, Germany","institution_ids":["https://openalex.org/I25974101"]},{"raw_affiliation_string":"Mathematical Institute, W\u00fcrzburg University, W\u00fcrzburg, Germany 97074#TAB#","institution_ids":["https://openalex.org/I25974101"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100351175","display_name":"Yan Liu","orcid":"https://orcid.org/0000-0003-4242-4840"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Y. Liu","raw_affiliation_strings":["Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong","Department of Applied Mathematics The Hong Kong Polytechnic University Hung Hom Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong","institution_ids":["https://openalex.org/I14243506"]},{"raw_affiliation_string":"Department of Applied Mathematics The Hong Kong Polytechnic University Hung Hom Hong Kong","institution_ids":["https://openalex.org/I14243506"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5008990663"],"corresponding_institution_ids":["https://openalex.org/I25974101"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":1.8107,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.82437543,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"35","issue":"3","first_page":"443","last_page":"474"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11809","display_name":"Advanced NMR Techniques and Applications","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/1607","display_name":"Spectroscopy"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11809","display_name":"Advanced NMR Techniques and Applications","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/1607","display_name":"Spectroscopy"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T12381","display_name":"Electron Spin Resonance Studies","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/1304","display_name":"Biophysics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7008284330368042},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6926553845405579},{"id":"https://openalex.org/keywords/lie-group","display_name":"Lie group","score":0.6649521589279175},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4469274878501892},{"id":"https://openalex.org/keywords/spin","display_name":"Spin (aerodynamics)","score":0.44692346453666687},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.29223600029945374},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.26666247844696045},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10489875078201294}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7008284330368042},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6926553845405579},{"id":"https://openalex.org/C187915474","wikidata":"https://www.wikidata.org/wiki/Q622679","display_name":"Lie group","level":2,"score":0.6649521589279175},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4469274878501892},{"id":"https://openalex.org/C42704618","wikidata":"https://www.wikidata.org/wiki/Q910917","display_name":"Spin (aerodynamics)","level":2,"score":0.44692346453666687},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.29223600029945374},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.26666247844696045},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10489875078201294},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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":5,"locations":[{"id":"doi:10.1007/s10898-005-6015-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-005-6015-6","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"Journal of Global Optimization","raw_type":"journal-article"},{"id":"pmh:oai:researchbank.rmit.edu.au:rmit:5827","is_oa":false,"landing_page_url":"http://researchbank.rmit.edu.au/view/rmit:5827","pdf_url":null,"source":{"id":"https://openalex.org/S4306402074","display_name":"RMIT Research Repository (RMIT University Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I82951845","host_organization_name":"RMIT University","host_organization_lineage":["https://openalex.org/I82951845"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"},{"id":"pmh:oai:alma.61RMIT_INST:11248215130001341","is_oa":false,"landing_page_url":"http://doi.org/10.1007/s10898-005-6015-6","pdf_url":null,"source":{"id":"https://openalex.org/S4306402074","display_name":"RMIT Research Repository (RMIT University Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I82951845","host_organization_name":"RMIT University","host_organization_lineage":["https://openalex.org/I82951845"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:figshare.com:article/27432492","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/Spin_dynamics_A_paradigm_for_time_optimal_control_on_compact_lie_groups/27432492","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"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":"","raw_type":"Text"},{"id":"pmh:oai:openresearch-repository.anu.edu.au:1885/34964","is_oa":false,"landing_page_url":"http://hdl.handle.net/1885/34964","pdf_url":null,"source":{"id":"https://openalex.org/S4306402539","display_name":"ANU Open Research (Australian National University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118347636","host_organization_name":"Australian National University","host_organization_lineage":["https://openalex.org/I118347636"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Global Optimization","raw_type":"Journal article"}],"best_oa_location":{"id":"pmh:oai:figshare.com:article/27432492","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/Spin_dynamics_A_paradigm_for_time_optimal_control_on_compact_lie_groups/27432492","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"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":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W142641676","https://openalex.org/W1496351075","https://openalex.org/W1499788862","https://openalex.org/W1540059687","https://openalex.org/W1556821246","https://openalex.org/W1595765050","https://openalex.org/W1978847979","https://openalex.org/W1983894121","https://openalex.org/W1995412269","https://openalex.org/W2008507710","https://openalex.org/W2011755942","https://openalex.org/W2017549290","https://openalex.org/W2024283190","https://openalex.org/W2064404969","https://openalex.org/W2066659058","https://openalex.org/W2069427982","https://openalex.org/W2079951449","https://openalex.org/W2086588477","https://openalex.org/W2147733222","https://openalex.org/W3157333651","https://openalex.org/W4246896658"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
