{"id":"https://openalex.org/W2964286648","doi":null,"title":"Non-unitary operator equivalence classes, the PT-symmetric brachistochrone problem and Lorentz boosts","display_name":"Non-unitary operator equivalence classes, the PT-symmetric brachistochrone problem and Lorentz boosts","publication_year":2007,"publication_date":"2007-09-04","ids":{"openalex":"https://openalex.org/W2964286648","mag":"2964286648"},"language":"en","primary_location":{"id":"mag:2964286648","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/0709.0483","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"arXiv (Cornell University)","raw_type":null},"volume":null,"type":"preprint","indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/0709.0483","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111489097","display_name":"Uwe Guenther","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Uwe Guenther","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5066001903","display_name":"B. F. Samsonov","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"B. F. Samsonov","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.9883000254631042,"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/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.9883000254631042,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.00570000009611249,"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.00039999998989515007,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/pt-symmetric-quantum-mechanics","display_name":"PT-symmetric quantum mechanics","score":0.9309999942779541},{"id":"https://openalex.org/keywords/quantum-brachistochrone","display_name":"quantum brachistochrone","score":0.8870000243186951},{"id":"https://openalex.org/keywords/non-hermitian-hamiltonian","display_name":"non-Hermitian Hamiltonian","score":0.7749999761581421},{"id":"https://openalex.org/keywords/conjugacy-classes","display_name":"conjugacy classes","score":0.9649999737739563},{"id":"https://openalex.org/keywords/lorentz-boost","display_name":"Lorentz boost","score":0.9459999799728394},{"id":"https://openalex.org/keywords/passage-time","display_name":"passage time","score":0.8240000009536743},{"id":"https://openalex.org/keywords/berry-phase","display_name":"Berry phase","score":0.4099999964237213}],"concepts":[{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.8020254969596863},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.6898318529129028},{"id":"https://openalex.org/C158650840","wikidata":"https://www.wikidata.org/wiki/Q907439","display_name":"Dirac operator","level":2,"score":0.5585261583328247},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5539247989654541},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4723844528198242},{"id":"https://openalex.org/C5667645","wikidata":"https://www.wikidata.org/wiki/Q217255","display_name":"Lorentz transformation","level":2,"score":0.4590825140476227},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.4377143681049347},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4107052683830261},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.4026556611061096},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3290112018585205},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.324483722448349},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2532427906990051},{"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2964286648","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/0709.0483","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"arXiv (Cornell University)","raw_type":null}],"best_oa_location":{"id":"mag:2964286648","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/0709.0483","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"arXiv (Cornell University)","raw_type":null},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7096115543","https://openalex.org/W1985086345","https://openalex.org/W3101170600","https://openalex.org/W2092443259","https://openalex.org/W7100205665","https://openalex.org/W2109902019","https://openalex.org/W2598647544","https://openalex.org/W4280618571","https://openalex.org/W6941346978","https://openalex.org/W2902141142"],"abstract_inverted_index":{"The":[0],"PT-symmetric":[1],"(PTS)":[2],"quantum":[3,9],"brachistochrone":[4,70],"problem":[5],"is":[6,82],"reanalyzed":[7],"as":[8,27,42],"system":[10],"consisting":[11],"of":[12,29,55,61,67,79],"a":[13,18,30,56,68],"non-Hermitian":[14],"PTS":[15,69],"component":[16,21],"and":[17],"purely":[19],"Hermitian":[20,32,80],"simultaneously.":[22],"Interpreting":[23],"this":[24],"specific":[25],"setup":[26],"subsystem":[28],"larger":[31],"system,":[33],"we":[34],"find":[35],"non-unitary":[36],"operator":[37],"equivalence":[38],"classes":[39],"(conjugacy":[40],"classes)":[41],"natural":[43],"ingredient":[44],"which":[45],"contain":[46],"at":[47],"least":[48],"one":[49],"Dirac-Hermitian":[50],"representative.":[51],"With":[52],"the":[53,59,62,72],"help":[54],"geometric":[57],"analysis":[58],"compatibility":[60],"vanishing":[63],"passage":[64,77],"time":[65],"solution":[66],"with":[71],"Anandan-Aharonov":[73],"lower":[74],"bound":[75],"for":[76],"times":[78],"brachistochrones":[81],"demonstrated.":[83]},"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2019-07-30T00:00:00"}
