{"id":"https://openalex.org/W7214935780","doi":"https://doi.org/10.48550/arxiv.2609.37724","title":"Influence of Time Reversal Invariance Breaking on the Distribution of Off-Diagonal Scattering Matrix Elements and Cross Sections","display_name":"Influence of Time Reversal Invariance Breaking on the Distribution of Off-Diagonal Scattering Matrix Elements and Cross Sections","publication_year":2026,"publication_date":"2026-09-29","ids":{"openalex":"https://openalex.org/W7214935780","doi":"https://doi.org/10.48550/arxiv.2609.37724"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.37724","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.37724","pdf_url":"https://arxiv.org/pdf/2609.37724","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":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.37724","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5093557920","display_name":"Nils Gluth","orcid":"https://orcid.org/0009-0009-2762-0633","observed_orcids":["https://orcid.org/0009-0009-2762-0633"]},"institutions":[{"id":"https://openalex.org/I62318514","display_name":"University of Duisburg-Essen","ror":"https://ror.org/04mz5ra38","country_code":"DE","type":"education","lineage":["https://openalex.org/I62318514"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Gluth, Nils","raw_affiliation_strings":["Fakult\u00e4t f\u00fcr Physik , Universit\u00e4t Duisburg-Essen , Duisburg , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Physik , Universit\u00e4t Duisburg-Essen , Duisburg , Germany","institution_ids":["https://openalex.org/I62318514"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5153641877","display_name":"Ahmed Aldabag","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I62318514","display_name":"University of Duisburg-Essen","ror":"https://ror.org/04mz5ra38","country_code":"DE","type":"education","lineage":["https://openalex.org/I62318514"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Aldabag, Ahmed","raw_affiliation_strings":["Fakult\u00e4t f\u00fcr Physik , Universit\u00e4t Duisburg-Essen , Duisburg , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Physik , Universit\u00e4t Duisburg-Essen , Duisburg , Germany","institution_ids":["https://openalex.org/I62318514"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026085690","display_name":"Thomas Guhr","orcid":"https://orcid.org/0000-0002-0927-6324","observed_orcids":["https://orcid.org/0000-0002-0927-6324"]},"institutions":[{"id":"https://openalex.org/I62318514","display_name":"University of Duisburg-Essen","ror":"https://ror.org/04mz5ra38","country_code":"DE","type":"education","lineage":["https://openalex.org/I62318514"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Guhr, Thomas","raw_affiliation_strings":["Fakult\u00e4t f\u00fcr Physik , Universit\u00e4t Duisburg-Essen , Duisburg , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Physik , Universit\u00e4t Duisburg-Essen , Duisburg , Germany","institution_ids":["https://openalex.org/I62318514"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I62318514"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9945999979972839,"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"}},"topics":[{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9945999979972839,"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.001500000013038516,"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/T11716","display_name":"Random Matrices and Applications","score":0.0013000000035390258,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/scattering-matrix","display_name":"scattering matrix","score":0.7649999856948853},{"id":"https://openalex.org/keywords/cross-sections","display_name":"cross sections","score":0.8289999961853027},{"id":"https://openalex.org/keywords/random-matrix-theory","display_name":"random matrix theory","score":0.8960000276565552},{"id":"https://openalex.org/keywords/supersymmetry","display_name":"supersymmetry","score":0.8989999890327454},{"id":"https://openalex.org/keywords/universality","display_name":"universality","score":0.5830000042915344},{"id":"https://openalex.org/keywords/half-integer-spin","display_name":"half-integer spin","score":0.652999997138977},{"id":"https://openalex.org/keywords/integer-spin","display_name":"integer spin","score":0.8050000071525574},{"id":"https://openalex.org/keywords/magnetic-tuning","display_name":"magnetic field tuning","score":0.4650000035762787}],"concepts":[{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.7581999897956848},{"id":"https://openalex.org/C64812099","wikidata":"https://www.wikidata.org/wiki/Q176604","display_name":"Random matrix","level":3,"score":0.7111999988555908},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.6419000029563904},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6317999958992004},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5300999879837036},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.506600022315979},{"id":"https://openalex.org/C67105901","wikidata":"https://www.wikidata.org/wiki/Q903737","display_name":"Scattering theory","level":3,"score":0.4771000146865845},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.4300999939441681},{"id":"https://openalex.org/C161094330","wikidata":"https://www.wikidata.org/wiki/Q581505","display_name":"S-matrix","level":3,"score":0.4034000039100647},{"id":"https://openalex.org/C152754458","wikidata":"https://www.wikidata.org/wiki/Q142270","display_name":"T-symmetry","level":3,"score":0.39989998936653137},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.3828999996185303},{"id":"https://openalex.org/C42704618","wikidata":"https://www.wikidata.org/wiki/Q910917","display_name":"Spin (aerodynamics)","level":2,"score":0.36489999294281006},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.34619998931884766},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3167000114917755},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3050000071525574},{"id":"https://openalex.org/C116674579","wikidata":"https://www.wikidata.org/wiki/Q193442","display_name":"Supersymmetry","level":2,"score":0.28790000081062317},{"id":"https://openalex.org/C156387681","wikidata":"https://www.wikidata.org/wiki/Q6059484","display_name":"Invariance principle","level":2,"score":0.272599995136261},{"id":"https://openalex.org/C204795200","wikidata":"https://www.wikidata.org/wiki/Q903282","display_name":"Symmetry breaking","level":2,"score":0.26989999413490295},{"id":"https://openalex.org/C2776275307","wikidata":"https://www.wikidata.org/wiki/Q649466","display_name":"S-matrix theory","level":3,"score":0.26969999074935913},{"id":"https://openalex.org/C22629506","wikidata":"https://www.wikidata.org/wiki/Q7602993","display_name":"State-transition matrix","level":4,"score":0.26840001344680786},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.2621000111103058},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26170000433921814}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.37724","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.37724","pdf_url":"https://arxiv.org/pdf/2609.37724","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":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.37724","doi":"https://doi.org/10.48550/arxiv.2609.37724","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.37724","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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.37724","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.37724","pdf_url":"https://arxiv.org/pdf/2609.37724","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":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G3932934522","display_name":"Stochastische Quantenstreuung \u2013 neue Methoden, neue Aspekte","funder_award_id":"540160740","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214935780.pdf","grobid_xml":"https://content.openalex.org/works/W7214935780.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7160539090","https://openalex.org/W2061197141","https://openalex.org/W4287912510","https://openalex.org/W2027139247","https://openalex.org/W7216031125","https://openalex.org/W7214956927","https://openalex.org/W3022266304","https://openalex.org/W2052887813","https://openalex.org/W2944789382","https://openalex.org/W2034307084"],"abstract_inverted_index":{"Scattering":[0],"theory":[1],"is":[2],"a":[3,82],"key":[4],"tool":[5],"for":[6,115],"the":[7,19,41,92,100,104,116,134,142,147,159],"investigation":[8],"of":[9,15,21,43,78,94,103,118,136,162],"quantum":[10],"systems.":[11],"Universal":[12],"approaches":[13],"are":[14,144,151],"interest,":[16],"particularly":[17],"in":[18,55,71,86,111,126,133],"framework":[20],"Random":[22,87],"Matrix":[23,88],"Theory.":[24,89],"Dyson's":[25],"Threefold":[26],"way":[27],"classifies":[28],"systems":[29,58,70,80,127],"according":[30],"to":[31],"their":[32],"behavior":[33,102],"under":[34],"time":[35,65,95,163],"reversal.":[36],"In":[37],"these":[38,79],"three":[39],"cases":[40],"distribution":[42,117],"off-diagonal":[44,119],"scattering":[45,120,148],"matrix":[46,121,149],"elements":[47,122,150],"and":[48,123],"cross":[49,124],"sections":[50,125],"were":[51],"recently":[52],"calculated.":[53],"However,":[54],"many":[56],"applications":[57],"neither":[59],"display":[60],"full":[61],"nor":[62],"fully":[63],"broken":[64],"reversal":[66,96,164],"invariance,":[67],"such":[68],"as":[69],"tuneable":[72],"external":[73],"magnetic":[74],"fields.":[75],"The":[76],"study":[77],"has":[81],"long":[83],"history,":[84],"also":[85],"We":[90,139],"investigate":[91],"influence":[93],"invariance":[97,165],"breaking":[98],"on":[99],"universal":[101],"mentioned":[105],"distributions.":[106],"Using":[107],"supersymmetry":[108],"we":[109],"succeed":[110],"deriving":[112],"exact":[113],"expressions":[114],"with":[128],"half-integer":[129],"or":[130],"integer/no":[131],"spin":[132],"absence":[135],"further":[137],"symmetries.":[138],"find":[140],"that":[141],"distributions":[143],"symmetric":[145],"while":[146],"not.":[152],"Furthermore,":[153],"our":[154],"results":[155],"might":[156],"considerably":[157],"facilitate":[158],"data":[160],"analysis":[161],"breaking.":[166]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-10-01T00:00:00"}