{"id":"https://openalex.org/W3116559114","doi":"https://doi.org/10.22331/q-2021-06-08-470","title":"The group structure of dynamical transformations between quantum reference frames","display_name":"The group structure of dynamical transformations between quantum reference frames","publication_year":2021,"publication_date":"2021-06-08","ids":{"openalex":"https://openalex.org/W3116559114","doi":"https://doi.org/10.22331/q-2021-06-08-470","mag":"3116559114"},"language":"en","primary_location":{"id":"doi:10.22331/q-2021-06-08-470","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2021-06-08-470","pdf_url":"https://quantum-journal.org/papers/q-2021-06-08-470/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://quantum-journal.org/papers/q-2021-06-08-470/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Angel Ballesteros","orcid":null},"institutions":[{"id":"https://openalex.org/I46176106","display_name":"Universidad de Burgos","ror":"https://ror.org/049da5t36","country_code":"ES","type":"education","lineage":["https://openalex.org/I46176106"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Angel Ballesteros","raw_affiliation_strings":["Departamento de F\u00edsica, Universidad de Burgos, 09001 Burgos, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de F\u00edsica, Universidad de Burgos, 09001 Burgos, Spain","institution_ids":["https://openalex.org/I46176106"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Flaminia Giacomini","orcid":null},"institutions":[{"id":"https://openalex.org/I183974707","display_name":"Perimeter Institute","ror":"https://ror.org/013m0ej23","country_code":"CA","type":"facility","lineage":["https://openalex.org/I183974707"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Flaminia Giacomini","raw_affiliation_strings":["Perimeter Institute for Theoretical Physics, 31 Caroline St. N, Waterloo, Ontario, N2L 2Y5, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Perimeter Institute for Theoretical Physics, 31 Caroline St. N, Waterloo, Ontario, N2L 2Y5, Canada","institution_ids":["https://openalex.org/I183974707"]}]},{"author_position":"last","author":{"id":null,"display_name":"Giulia Gubitosi","orcid":null},"institutions":[{"id":"https://openalex.org/I4210108560","display_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Napoli","ror":"https://ror.org/015kcdd40","country_code":"IT","type":"facility","lineage":["https://openalex.org/I160013858","https://openalex.org/I4210108560"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giulia Gubitosi","raw_affiliation_strings":["Dipartimento di Fisica Ettore Pancini, Universit\u00e0 di Napoli Federico II, and INFN, Sezione di Napoli, Complesso Univ. Monte S. Angelo, I-80126 Napoli, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Fisica Ettore Pancini, Universit\u00e0 di Napoli Federico II, and INFN, Sezione di Napoli, Complesso Univ. Monte S. Angelo, I-80126 Napoli, Italy","institution_ids":["https://openalex.org/I4210108560"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":200,"currency":"EUR","value_usd":215},"apc_paid":{"value":200,"currency":"EUR","value_usd":215},"fwci":8.5897,"has_fulltext":true,"cited_by_count":36,"citation_normalized_percentile":{"value":0.98704816,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"5","issue":null,"first_page":"470","last_page":"470"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.2175000011920929,"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"}},"topics":[{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.2175000011920929,"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"}},{"id":"https://openalex.org/T13080","display_name":"Advanced Differential Geometry Research","score":0.1745000034570694,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.10980000346899033,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/reference-frame","display_name":"Reference frame","score":0.6367999911308289},{"id":"https://openalex.org/keywords/quantum-operation","display_name":"Quantum operation","score":0.5626999735832214},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5307999849319458},{"id":"https://openalex.org/keywords/quantum-algorithm","display_name":"Quantum algorithm","score":0.48500001430511475},{"id":"https://openalex.org/keywords/quantum-process","display_name":"Quantum process","score":0.46320000290870667},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.46230000257492065},{"id":"https://openalex.org/keywords/frame-of-reference","display_name":"Frame of reference","score":0.3935999870300293},{"id":"https://openalex.org/keywords/quantum-spacetime","display_name":"Quantum spacetime","score":0.3855000138282776},{"id":"https://openalex.org/keywords/quantum-group","display_name":"Quantum group","score":0.3686000108718872},{"id":"https://openalex.org/keywords/quantum-system","display_name":"Quantum system","score":0.36649999022483826}],"concepts":[{"id":"https://openalex.org/C172849965","wikidata":"https://www.wikidata.org/wiki/Q3148875","display_name":"Reference frame","level":3,"score":0.6367999911308289},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.5626999735832214},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5307999849319458},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.48500001430511475},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47690001130104065},{"id":"https://openalex.org/C11255438","wikidata":"https://www.wikidata.org/wiki/Q7269085","display_name":"Quantum process","level":4,"score":0.46320000290870667},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.46230000257492065},{"id":"https://openalex.org/C74992021","wikidata":"https://www.wikidata.org/wiki/Q184876","display_name":"Frame of reference","level":2,"score":0.3935999870300293},{"id":"https://openalex.org/C8492334","wikidata":"https://www.wikidata.org/wiki/Q7269100","display_name":"Quantum spacetime","level":4,"score":0.3855000138282776},{"id":"https://openalex.org/C148647251","wikidata":"https://www.wikidata.org/wiki/Q2122223","display_name":"Quantum group","level":3,"score":0.3686000108718872},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.36649999022483826},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.362199991941452},{"id":"https://openalex.org/C173386949","wikidata":"https://www.wikidata.org/wiki/Q192735","display_name":"Inertial frame of reference","level":2,"score":0.358599990606308},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.3562999963760376},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.349700003862381},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.34310001134872437},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.3357999920845032},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3352999985218048},{"id":"https://openalex.org/C116827671","wikidata":"https://www.wikidata.org/wiki/Q5155316","display_name":"Compact quantum group","level":4,"score":0.3303999900817871},{"id":"https://openalex.org/C139356082","wikidata":"https://www.wikidata.org/wiki/Q7269038","display_name":"Quantum discord","level":4,"score":0.32580000162124634},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3190000057220459},{"id":"https://openalex.org/C15184713","wikidata":"https://www.wikidata.org/wiki/Q7269042","display_name":"Quantum dynamics","level":3,"score":0.31540000438690186},{"id":"https://openalex.org/C190474826","wikidata":"https://www.wikidata.org/wiki/Q2495111","display_name":"Open quantum system","level":3,"score":0.3107999861240387},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.2856999933719635},{"id":"https://openalex.org/C165973109","wikidata":"https://www.wikidata.org/wiki/Q894014","display_name":"Quantum probability","level":5,"score":0.27649998664855957},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2711000144481659},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.26969999074935913},{"id":"https://openalex.org/C11516046","wikidata":"https://www.wikidata.org/wiki/Q1055807","display_name":"Group representation","level":3,"score":0.265500009059906},{"id":"https://openalex.org/C191413488","wikidata":"https://www.wikidata.org/wiki/Q1892554","display_name":"Operator algebra","level":2,"score":0.2648000121116638},{"id":"https://openalex.org/C53702628","wikidata":"https://www.wikidata.org/wiki/Q3090317","display_name":"Classical limit","level":3,"score":0.26170000433921814},{"id":"https://openalex.org/C99669320","wikidata":"https://www.wikidata.org/wiki/Q6823722","display_name":"Method of quantum characteristics","level":5,"score":0.26030001044273376},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.25440001487731934}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.22331/q-2021-06-08-470","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2021-06-08-470","pdf_url":"https://quantum-journal.org/papers/q-2021-06-08-470/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2012.15769","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2012.15769","pdf_url":"https://arxiv.org/pdf/2012.15769","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":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:art.torvergata.it:2108/444882","is_oa":true,"landing_page_url":"https://hdl.handle.net/2108/444882","pdf_url":null,"source":{"id":"https://openalex.org/S4306400993","display_name":"Cineca Institutional Research Information System (Tor Vergata University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I116067653","host_organization_name":"University of Rome Tor Vergata","host_organization_lineage":["https://openalex.org/I116067653"],"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":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:e92a8285263c4ebb895efda693b44da3","is_oa":true,"landing_page_url":"https://doaj.org/article/e92a8285263c4ebb895efda693b44da3","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum, Vol 5, p 470 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.22331/q-2021-06-08-470","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2021-06-08-470","pdf_url":"https://quantum-journal.org/papers/q-2021-06-08-470/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1016151835","display_name":null,"funder_award_id":"MTM2016-79639-P","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G1643949827","display_name":null,"funder_award_id":"AEI/10.13039/501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G2262748287","display_name":null,"funder_award_id":"501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G2309174360","display_name":null,"funder_award_id":"10.13039","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G300979063","display_name":null,"funder_award_id":"10.13039/501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G3151916377","display_name":null,"funder_award_id":"BU229P18","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G3480869486","display_name":null,"funder_award_id":"13039","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G3690828678","display_name":null,"funder_award_id":"PID2019","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G4017095837","display_name":null,"funder_award_id":"AEI/10.13039/501100011033","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G5080475149","display_name":null,"funder_award_id":"10.13039","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G5421974903","display_name":null,"funder_award_id":"501100011033","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G5550858994","display_name":null,"funder_award_id":"AEI/10","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G5833545326","display_name":null,"funder_award_id":"BU091G19","funder_id":"https://openalex.org/F4320328351","funder_display_name":"Junta de Castilla y Le\u00f3n"},{"id":"https://openalex.org/G5905400174","display_name":null,"funder_award_id":"PID2019-106802GB-I00/AEI/10.13039/501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G6366842693","display_name":null,"funder_award_id":"I00/AEI/10.13039","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G6389095201","display_name":null,"funder_award_id":"PID2019-106802GB-I00","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G7084143925","display_name":null,"funder_award_id":"AEI/10","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G719139425","display_name":null,"funder_award_id":"MTM2016-79639-P","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G7266728691","display_name":null,"funder_award_id":"13039/501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G7535663061","display_name":null,"funder_award_id":"AEI/10.","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G7643708868","display_name":null,"funder_award_id":"10.13039/501100011033","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G7758289794","display_name":null,"funder_award_id":"BU229P18","funder_id":"https://openalex.org/F4320328351","funder_display_name":"Junta de Castilla y Le\u00f3n"},{"id":"https://openalex.org/G8055432103","display_name":null,"funder_award_id":"13039/501100011033","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G8130184278","display_name":null,"funder_award_id":"I00/AEI/10.13039/501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G8576134744","display_name":null,"funder_award_id":"PID2019-106802GB-I00/AEI/10.13039/501100011033","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G8684520763","display_name":null,"funder_award_id":"PID2019","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G8853601691","display_name":null,"funder_award_id":"/AEI/10.13039/501100011033","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G8963460498","display_name":null,"funder_award_id":"MTM2016-79639-P (AEI/FEDER, UE)","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"}],"funders":[{"id":"https://openalex.org/F4320319880","display_name":"Government of Canada","ror":"https://ror.org/010q4q527"},{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320328351","display_name":"Junta de Castilla y Le\u00f3n","ror":"https://ror.org/02s8dab97"},{"id":"https://openalex.org/F4320331462","display_name":"Institut P\u00e9rim\u00e8tre de physique th\u00e9orique","ror":"https://ror.org/013m0ej23"},{"id":"https://openalex.org/F4320331473","display_name":"Ministry of Colleges and Universities","ror":null},{"id":"https://openalex.org/F4320335598","display_name":"Agencia Estatal de Investigaci\u00f3n","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3116559114.pdf","grobid_xml":"https://content.openalex.org/works/W3116559114.grobid-xml"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W171432391","https://openalex.org/W1969227315","https://openalex.org/W1970157820","https://openalex.org/W1977417311","https://openalex.org/W2003017716","https://openalex.org/W2004859216","https://openalex.org/W2009559386","https://openalex.org/W2017154611","https://openalex.org/W2024890519","https://openalex.org/W2026796483","https://openalex.org/W2029641002","https://openalex.org/W2036671066","https://openalex.org/W2041678328","https://openalex.org/W2044516693","https://openalex.org/W2051698581","https://openalex.org/W2055476267","https://openalex.org/W2062272403","https://openalex.org/W2064185701","https://openalex.org/W2076068770","https://openalex.org/W2084575582","https://openalex.org/W2138433381","https://openalex.org/W2139147094","https://openalex.org/W2148115906","https://openalex.org/W2206648280","https://openalex.org/W2285665705","https://openalex.org/W2506587698","https://openalex.org/W2597376000","https://openalex.org/W2608808167","https://openalex.org/W2778864117","https://openalex.org/W2890914617","https://openalex.org/W2896333123","https://openalex.org/W2898894554","https://openalex.org/W2900901910","https://openalex.org/W2997806179","https://openalex.org/W3021720044","https://openalex.org/W3032367681","https://openalex.org/W3040574311","https://openalex.org/W3171113659"],"related_works":[],"abstract_inverted_index":{"Recently,":[0],"it":[1],"was":[2],"shown":[3,66],"that":[4,88,123,149,210],"when":[5],"reference":[6,19,36,57,95,119,165,181,200],"frames":[7,20,58,96,166,182,201],"are":[8,59,156],"associated":[9],"to":[10,22,25,40,67,79,87],"quantum":[11,18,30,51,56,98,114,118,144,164,199,218],"systems,":[12],"the":[13,29,35,45,50,55,71,74,90,105,109,113,117,139,150,159,163,177,185,194,204,208,212,217],"transformation":[14],"laws":[15],"between":[16,179,198],"such":[17,63],"need":[21],"be":[23,68,191],"modified":[24],"take":[26],"into":[27],"account":[28],"and":[31,121],"dynamical":[32],"features":[33],"of":[34,44,49,53,70,89,112,143,152,162,196,207,220],"frames.":[37],"This":[38],"led":[39],"a":[41,83,127,132],"relational":[42],"description":[43],"phase":[46,110],"space":[47,111],"variables":[48],"system":[52],"which":[54,135,170],"part":[60],"of.":[61],"While":[62],"transformations":[64,107,125,167,178,197],"were":[65],"symmetries":[69,189],"system's":[72],"Hamiltonian,":[73],"question":[75],"remained":[76],"unanswered":[77],"as":[78],"whether":[80],"they":[81],"enjoy":[82],"group":[84,92,128,188,195],"structure,":[85],"similar":[86],"Galilei":[91,141,187],"relating":[93],"classical":[94,180],"in":[97,157],"mechanics.":[99,145],"In":[100],"this":[101,153],"work,":[102],"we":[103,171,174],"identify":[104],"canonical":[106],"on":[108],"systems":[115],"comprising":[116],"frames,":[120],"show":[122,175],"these":[124],"close":[126],"structure":[129],"defined":[130],"by":[131,184,202,216],"Lie":[133],"algebra,":[134],"is":[136],"different":[137],"from":[138,193],"usual":[140],"algebra":[142,155],"We":[146],"further":[147],"find":[148],"elements":[151],"new":[154],"fact":[158],"building":[160],"blocks":[161],"previously":[168],"identified,":[169],"recover.":[172],"Finally,":[173],"how":[176],"described":[183],"standard":[186],"can":[190],"obtained":[192],"taking":[203],"zero":[205],"limit":[206],"parameter":[209],"governs":[211],"additional":[213],"noncommutativity":[214],"introduced":[215],"nature":[219],"inertial":[221],"transformations.":[222]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":10},{"year":2021,"cited_by_count":4}],"updated_date":"2026-06-13T07:54:00.901334","created_date":"2021-01-05T00:00:00"}
