{"id":"https://openalex.org/W7221804751","doi":"https://doi.org/10.48550/arxiv.2610.18241","title":"Adiabatic particle production in a time-dependent accelerated frame","display_name":"Adiabatic particle production in a time-dependent accelerated frame","publication_year":2026,"publication_date":"2026-10-13","ids":{"openalex":"https://openalex.org/W7221804751","doi":"https://doi.org/10.48550/arxiv.2610.18241"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.18241","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.18241","pdf_url":"https://arxiv.org/pdf/2610.18241","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/2610.18241","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110143723","display_name":"V\u0131\u0301ctor M. Villalba","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I56590836","display_name":"Monash University","ror":"https://ror.org/02bfwt286","country_code":"AU","type":"education","lineage":["https://openalex.org/I56590836"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Villalba, Victor M","raw_affiliation_strings":["School of Mathematics , Monash University , Clayton , 3800 , VIC , Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics , Monash University , Clayton , 3800 , VIC , Australia","institution_ids":["https://openalex.org/I56590836"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5110143723"],"corresponding_institution_ids":["https://openalex.org/I56590836"],"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/T12220","display_name":"Quantum Electrodynamics and Casimir Effect","score":0.3955000042915344,"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/T12220","display_name":"Quantum Electrodynamics and Casimir Effect","score":0.3955000042915344,"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/T10025","display_name":"Black Holes and Theoretical Physics","score":0.3068999946117401,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy 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/T10095","display_name":"Cosmology and Gravitation Theories","score":0.17080000042915344,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/adiabatic-vacuum","display_name":"adiabatic vacuum","score":0.8830000162124634},{"id":"https://openalex.org/keywords/particle-production","display_name":"particle production","score":0.7739999890327454},{"id":"https://openalex.org/keywords/massive-scalar-field","display_name":"massive scalar field","score":0.8790000081062317},{"id":"https://openalex.org/keywords/klein-gordon-equation","display_name":"Klein-Gordon equation","score":0.9769999980926514},{"id":"https://openalex.org/keywords/mathieu-equation","display_name":"Mathieu equation","score":0.9039999842643738},{"id":"https://openalex.org/keywords/discrete-spectrum","display_name":"discrete spectrum","score":0.7590000033378601},{"id":"https://openalex.org/keywords/particle-number","display_name":"particle number","score":0.5619999766349792},{"id":"https://openalex.org/keywords/analytic-continuation","display_name":"analytic continuation","score":0.5979999899864197},{"id":"https://openalex.org/keywords/quantum-field-theory-in-curved-spacetime","display_name":"quantum field theory in curved spacetime","score":0.5910000205039978}],"concepts":[{"id":"https://openalex.org/C109663097","wikidata":"https://www.wikidata.org/wiki/Q182453","display_name":"Adiabatic process","level":2,"score":0.6848000288009644},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5932999849319458},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.5684000253677368},{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.5203999876976013},{"id":"https://openalex.org/C117896860","wikidata":"https://www.wikidata.org/wiki/Q11376","display_name":"Acceleration","level":2,"score":0.5177000164985657},{"id":"https://openalex.org/C173386949","wikidata":"https://www.wikidata.org/wiki/Q192735","display_name":"Inertial frame of reference","level":2,"score":0.4900999963283539},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48989999294281006},{"id":"https://openalex.org/C192353077","wikidata":"https://www.wikidata.org/wiki/Q4682635","display_name":"Adiabatic quantum computation","level":4,"score":0.44290000200271606},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.43970000743865967},{"id":"https://openalex.org/C110521144","wikidata":"https://www.wikidata.org/wiki/Q193460","display_name":"Scalar field","level":2,"score":0.38940000534057617},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.36890000104904175},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.3619999885559082},{"id":"https://openalex.org/C175749648","wikidata":"https://www.wikidata.org/wiki/Q1068091","display_name":"Point particle","level":2,"score":0.3449999988079071},{"id":"https://openalex.org/C79464548","wikidata":"https://www.wikidata.org/wiki/Q464794","display_name":"Minkowski space","level":2,"score":0.3206000030040741},{"id":"https://openalex.org/C75183268","wikidata":"https://www.wikidata.org/wiki/Q7140491","display_name":"Particle acceleration","level":3,"score":0.3192000091075897},{"id":"https://openalex.org/C130187892","wikidata":"https://www.wikidata.org/wiki/Q133327","display_name":"Spacetime","level":2,"score":0.3158000111579895},{"id":"https://openalex.org/C29418136","wikidata":"https://www.wikidata.org/wiki/Q3310692","display_name":"Rotating reference frame","level":2,"score":0.2815999984741211},{"id":"https://openalex.org/C91229774","wikidata":"https://www.wikidata.org/wiki/Q193885","display_name":"Infinitesimal","level":2,"score":0.26930001378059387},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.26159998774528503},{"id":"https://openalex.org/C14037181","wikidata":"https://www.wikidata.org/wiki/Q215007","display_name":"Equations of motion","level":2,"score":0.259799987077713},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.25690001249313354}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.18241","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.18241","pdf_url":"https://arxiv.org/pdf/2610.18241","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.2610.18241","doi":"https://doi.org/10.48550/arxiv.2610.18241","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.18241","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.18241","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.18241","pdf_url":"https://arxiv.org/pdf/2610.18241","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":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7221804751.pdf","grobid_xml":"https://content.openalex.org/works/W7221804751.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W1966487680","https://openalex.org/W1970250542","https://openalex.org/W1981729129","https://openalex.org/W1989704654","https://openalex.org/W1992204683","https://openalex.org/W2006328770","https://openalex.org/W2009816832","https://openalex.org/W2013166570","https://openalex.org/W2036938936","https://openalex.org/W2049728488","https://openalex.org/W2051837263","https://openalex.org/W2068778779","https://openalex.org/W2079890182","https://openalex.org/W2084714729","https://openalex.org/W2088213592","https://openalex.org/W2118148695","https://openalex.org/W2125002829","https://openalex.org/W2139131426","https://openalex.org/W2149746339","https://openalex.org/W2158442860","https://openalex.org/W2259091649","https://openalex.org/W2345359083","https://openalex.org/W2418578199","https://openalex.org/W3125361509","https://openalex.org/W3140714191","https://openalex.org/W3197987351","https://openalex.org/W4234779674","https://openalex.org/W7127609154"],"related_works":["https://openalex.org/W2259091649","https://openalex.org/W1988107962","https://openalex.org/W2006212254","https://openalex.org/W2066952438","https://openalex.org/W2068778779","https://openalex.org/W7214900510","https://openalex.org/W2029141201","https://openalex.org/W3215261290","https://openalex.org/W2418578199","https://openalex.org/W1982363518"],"abstract_inverted_index":{"We":[0,54],"study":[1],"a":[2,11,30,37,44,51],"massive":[3],"scalar":[4],"field":[5],"in":[6,10,41,48,70,103,122],"flat":[7],"spacetime":[8],"written":[9],"time-dependent":[12],"accelerated":[13],"frame":[14],"whose":[15],"fixed-coordinate":[16],"observers":[17],"have":[18],"maximal":[19,63],"proper":[20],"acceleration":[21,64],"at":[22,59,138],"$t=0$":[23,139],"and":[24,43,65,91,125,144],"become":[25],"asymptotically":[26],"inertial":[27,72],"without":[28],"forming":[29],"horizon.":[31],"The":[32,148],"Klein-Gordon":[33],"equation":[34,40],"separates":[35],"into":[36],"modified":[38],"Mathieu":[39],"time":[42],"confining":[45],"Schr\u00f6dinger":[46],"problem":[47],"space":[49],"with":[50,105],"discrete":[52],"spectrum.":[53],"impose":[55],"an":[56,126],"adiabatic":[57,77,94],"vacuum":[58],"the":[60,67,71,75,82,87,93,100,106,115,119,130,136,141,145],"instant":[61],"of":[62,86,99,109,114],"compute":[66],"particle":[68,131],"number":[69],"future.":[73],"For":[74],"zeroth-order":[76],"state":[78,143],"it":[79],"falls":[80],"as":[81],"inverse":[83],"eighth":[84],"power":[85],"initial":[88,142],"mode":[89],"frequency,":[90],"raising":[92],"order":[95],"cancels":[96],"successive":[97],"terms":[98],"endpoint":[101],"expansion,":[102],"analogy":[104],"switching":[107],"transients":[108],"finite-time":[110],"detectors.":[111],"Analytic":[112],"continuation":[113],"spatial":[116],"eigenfunctions":[117],"gives":[118],"out":[120,146],"modes":[121],"closed":[123],"form":[124],"exact":[127],"expression":[128],"for":[129],"number,":[132],"which":[133],"is":[134,150],"entirely":[135],"mismatch":[137],"between":[140],"vacuum.":[147],"spectrum":[149],"algebraic":[151],"rather":[152],"than":[153],"Planckian.":[154]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-15T00:00:00"}