{"id":"https://openalex.org/W7222963084","doi":"https://doi.org/10.48550/arxiv.2610.22737","title":"Metric and Dispersive Dynamics of Phase Perturbations in Bohmian Quantum Mechanics","display_name":"Metric and Dispersive Dynamics of Phase Perturbations in Bohmian Quantum Mechanics","publication_year":2026,"publication_date":"2026-10-15","ids":{"openalex":"https://openalex.org/W7222963084","doi":"https://doi.org/10.48550/arxiv.2610.22737"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.22737","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.22737","pdf_url":"https://arxiv.org/pdf/2610.22737","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/2610.22737","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5092727570","display_name":"Felipe S. Esc\u00f3rcio","orcid":"https://orcid.org/0009-0007-6723-2657","observed_orcids":["https://orcid.org/0009-0007-6723-2657"]},"institutions":[{"id":"https://openalex.org/I51235708","display_name":"Universidade Federal do Esp\u00edrito Santo","ror":"https://ror.org/05sxf4h28","country_code":"BR","type":"education","lineage":["https://openalex.org/I51235708"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Esc\u00f3rcio, Felipe S.","raw_affiliation_strings":["PPGFis , Universidade Federal do Esp\u00edrito Santo , 29075-910 , Vit\u00f3ria , ES , Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"PPGFis , Universidade Federal do Esp\u00edrito Santo , 29075-910 , Vit\u00f3ria , ES , Brazil","institution_ids":["https://openalex.org/I51235708"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070466235","display_name":"Hermano Velten","orcid":"https://orcid.org/0000-0002-5155-7998","observed_orcids":["https://orcid.org/0000-0002-5155-7998"]},"institutions":[{"id":"https://openalex.org/I10824318","display_name":"Universidade Federal de Ouro Preto","ror":"https://ror.org/056s65p46","country_code":"BR","type":"education","lineage":["https://openalex.org/I10824318"]},{"id":"https://openalex.org/I151201029","display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas","ror":"https://ror.org/03cqe8w59","country_code":"AR","type":"government","lineage":["https://openalex.org/I151201029","https://openalex.org/I4210123736","https://openalex.org/I4387155568"]},{"id":"https://openalex.org/I4210089990","display_name":"Instituto de Astronom\u00eda Te\u00f3rica y Experimental","ror":"https://ror.org/008b1vj68","country_code":"AR","type":"facility","lineage":["https://openalex.org/I4210089990"]}],"countries":["AR","BR"],"is_corresponding":false,"raw_author_name":"Velten, Hermano","raw_affiliation_strings":["Departamento de F\u00edsica , Universidade Federal de Ouro Preto , Campus Universit\u00e1rio Morro do Cruzeiro , 35.402 -136 , Ouro Preto , Brazil","Instituto de Astronom\u00eda Te\u00f3rica y Experimental , CONICET-UNC , Laprida 854 , X5000BGR , C\u00f3rdoba , Argentina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de F\u00edsica , Universidade Federal de Ouro Preto , Campus Universit\u00e1rio Morro do Cruzeiro , 35.402 -136 , Ouro Preto , Brazil","institution_ids":["https://openalex.org/I10824318"]},{"raw_affiliation_string":"Instituto de Astronom\u00eda Te\u00f3rica y Experimental , CONICET-UNC , Laprida 854 , X5000BGR , C\u00f3rdoba , Argentina","institution_ids":["https://openalex.org/I151201029","https://openalex.org/I4210089990"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.9854000210762024,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.9854000210762024,"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/T11960","display_name":"Relativity and Gravitational Theory","score":0.003599999938160181,"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.0020000000949949026,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bohmian-mechanics","display_name":"Bohmian mechanics","score":0.921999990940094},{"id":"https://openalex.org/keywords/madelung-transformation","display_name":"Madelung transformation","score":0.9570000171661377},{"id":"https://openalex.org/keywords/quantum-hydrodynamics","display_name":"quantum hydrodynamics","score":0.7229999899864197},{"id":"https://openalex.org/keywords/phase-perturbation","display_name":"phase perturbation","score":0.9409999847412109},{"id":"https://openalex.org/keywords/effective-metric","display_name":"effective metric","score":0.8970000147819519},{"id":"https://openalex.org/keywords/quantum-potential","display_name":"quantum potential","score":0.8579999804496765},{"id":"https://openalex.org/keywords/dispersion-correction","display_name":"dispersion correction","score":0.878000020980835},{"id":"https://openalex.org/keywords/klein-gordon-equation","display_name":"Klein-Gordon equation","score":0.9269999861717224},{"id":"https://openalex.org/keywords/gaussian-wave-packets","display_name":"Gaussian wave packets","score":0.8320000171661377},{"id":"https://openalex.org/keywords/linearized-hydrodynamic-equations","display_name":"linearized hydrodynamic equations","score":0.6740000247955322},{"id":"https://openalex.org/keywords/effective-geometry","display_name":"effective geometry","score":0.4300000071525574}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5652999877929688},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5468999743461609},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.5274999737739563},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4851999878883362},{"id":"https://openalex.org/C15184713","wikidata":"https://www.wikidata.org/wiki/Q7269042","display_name":"Quantum dynamics","level":3,"score":0.4185999929904938},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.41510000824928284},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.41429999470710754},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.3971000015735626},{"id":"https://openalex.org/C106978608","wikidata":"https://www.wikidata.org/wiki/Q1412691","display_name":"Wave packet","level":2,"score":0.3921999931335449},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36980000138282776},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.35030001401901245},{"id":"https://openalex.org/C68973957","wikidata":"https://www.wikidata.org/wiki/Q3399993","display_name":"Quantum potential","level":3,"score":0.34779998660087585},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.34459999203681946},{"id":"https://openalex.org/C11255438","wikidata":"https://www.wikidata.org/wiki/Q7269085","display_name":"Quantum process","level":4,"score":0.3292999863624573},{"id":"https://openalex.org/C174256460","wikidata":"https://www.wikidata.org/wiki/Q911364","display_name":"Perturbation theory (quantum mechanics)","level":2,"score":0.32499998807907104},{"id":"https://openalex.org/C191398983","wikidata":"https://www.wikidata.org/wiki/Q899444","display_name":"De Broglie\u2013Bohm theory","level":3,"score":0.3124000132083893},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.3111000061035156},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3061999976634979},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3003000020980835},{"id":"https://openalex.org/C2775929963","wikidata":"https://www.wikidata.org/wiki/Q245987","display_name":"Atom optics","level":2,"score":0.29510000348091125},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.2824999988079071},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.28139999508857727},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.27810001373291016},{"id":"https://openalex.org/C109546454","wikidata":"https://www.wikidata.org/wiki/Q3798604","display_name":"Information geometry","level":4,"score":0.27469998598098755},{"id":"https://openalex.org/C192939610","wikidata":"https://www.wikidata.org/wiki/Q188444","display_name":"Differential geometry","level":2,"score":0.2727000117301941},{"id":"https://openalex.org/C141886431","wikidata":"https://www.wikidata.org/wiki/Q1193821","display_name":"Quantum fluctuation","level":3,"score":0.26919999718666077},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.25679999589920044},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.2547999918460846},{"id":"https://openalex.org/C115047598","wikidata":"https://www.wikidata.org/wiki/Q54505","display_name":"Quantum field theory","level":2,"score":0.25440001487731934},{"id":"https://openalex.org/C113603373","wikidata":"https://www.wikidata.org/wiki/Q2362761","display_name":"Wave function","level":2,"score":0.2531000077724457}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.22737","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.22737","pdf_url":"https://arxiv.org/pdf/2610.22737","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.2610.22737","doi":"https://doi.org/10.48550/arxiv.2610.22737","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.22737","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:2610.22737","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.22737","pdf_url":"https://arxiv.org/pdf/2610.22737","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":[{"id":"https://openalex.org/F4320321091","display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","ror":"https://ror.org/00x0ma614"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"},{"id":"https://openalex.org/F4320323682","display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa e Inova\u00e7\u00e3o do Esp\u00edrito Santo","ror":"https://ror.org/03cen2c33"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7222963084.pdf","grobid_xml":"https://content.openalex.org/works/W7222963084.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W2061256551","https://openalex.org/W2966544259","https://openalex.org/W3159578971","https://openalex.org/W4391510013","https://openalex.org/W4402659156","https://openalex.org/W4407116976","https://openalex.org/W4409297059"],"related_works":["https://openalex.org/W7083576535","https://openalex.org/W3122795227","https://openalex.org/W4221138715","https://openalex.org/W2167621054","https://openalex.org/W2472349901","https://openalex.org/W2949592722","https://openalex.org/W2241490599","https://openalex.org/W3179733955","https://openalex.org/W4308791394","https://openalex.org/W2683334651"],"abstract_inverted_index":{"By":[0],"linearizing":[1],"the":[2,7,11,22,32,38,54,59,74,77,81,99,113,118,122,126,131,136,149,153],"hydrodynamic":[3],"equations":[4],"associated":[5,124],"with":[6,125],"Madelung":[8],"transformation":[9],"in":[10,52,98],"context":[12],"of":[13,47,58,76,130,157],"Bohmian":[14],"dynamics,":[15],"we":[16,107],"derive":[17],"an":[18],"effective":[19,100,119,150],"metric":[20,33],"for":[21,117,152],"phase":[23],"perturbation":[24],"around":[25],"a":[26,44,48,158],"background":[27],"state.":[28],"We":[29,134],"show":[30],"that":[31,90,111],"previously":[34,36],"obtained":[35],"by":[37],"same":[39],"authors":[40],"arises":[41],"naturally":[42],"as":[43,96],"particular":[45],"case":[46],"more":[49],"general":[50],"structure,":[51],"which":[53,139],"complete":[55,127],"functional":[56,128],"variation":[57],"quantum":[60,78,132],"potential":[61,79],"is":[62],"retained":[63],"and":[64,83,94,148],"external":[65],"classical":[66],"potentials":[67],"can":[68],"be":[69],"incorporated.":[70],"This":[71],"generalization":[72],"preserves":[73],"dependence":[75],"on":[80],"density":[82],"its":[84],"spatial":[85],"derivatives,":[86],"generating":[87],"additional":[88,141],"terms":[89,142],"introduce":[91,108],"dispersive":[92],"corrections":[93,123],"act":[95],"sources":[97],"Klein-Gordon":[101],"equation.":[102],"To":[103],"organize":[104],"these":[105,140],"contributions,":[106],"differential":[109],"operators":[110],"separate":[112],"local":[114],"sector":[115],"responsible":[116],"geometry":[120,151],"from":[121],"structure":[129],"potential.":[133],"identify":[135],"conditions":[137],"under":[138],"become":[143],"negligible,":[144],"recovering":[145],"homogeneous":[146],"propagation":[147],"Gaussian":[154],"wave":[155],"packet":[156],"free":[159],"particle.":[160]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-20T00:00:00"}
