{"id":"https://openalex.org/W2018093273","doi":"https://doi.org/10.1209/epl/i2004-10109-6","title":"Solution of the generalized Dirac equation in a time-dependent linear potential: Relativistic geometric amplitude factor","display_name":"Solution of the generalized Dirac equation in a time-dependent linear potential: Relativistic geometric amplitude factor","publication_year":2004,"publication_date":"2004-08-25","ids":{"openalex":"https://openalex.org/W2018093273","doi":"https://doi.org/10.1209/epl/i2004-10109-6","mag":"2018093273"},"language":"en","primary_location":{"id":"doi:10.1209/epl/i2004-10109-6","doi":"https://doi.org/10.1209/epl/i2004-10109-6","is_oa":false,"landing_page_url":"https://doi.org/10.1209/epl/i2004-10109-6","pdf_url":null,"source":{"id":"https://openalex.org/S161185981","display_name":"Europhysics Letters (EPL)","issn_l":"0295-5075","issn":["0295-5075","1286-4854"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310311669","host_organization_name":"Institute of Physics","host_organization_lineage":["https://openalex.org/P4310311669"],"host_organization_lineage_names":["Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Europhysics Letters (EPL)","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079873917","display_name":"Mustapha Maamache","orcid":"https://orcid.org/0000-0002-3960-064X","observed_orcids":["https://orcid.org/0000-0002-3960-064X"]},"institutions":[{"id":"https://openalex.org/I40193446","display_name":"University Ferhat Abbas of Setif","ror":"https://ror.org/02rzqza52","country_code":"DZ","type":"education","lineage":["https://openalex.org/I40193446"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"M Maamache","raw_affiliation_strings":["Laboratoire de Physique Quantique et Systemes Dynamiques, D\u00e9partement de Physique Facult\u00e9 des Sciences, Universit\u00e9 Ferhat Abbas de S\u00e9tif - S\u00e9tif 19000, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Physique Quantique et Systemes Dynamiques, D\u00e9partement de Physique Facult\u00e9 des Sciences, Universit\u00e9 Ferhat Abbas de S\u00e9tif - S\u00e9tif 19000, Algeria","institution_ids":["https://openalex.org/I40193446"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029934186","display_name":"Halim Lakehal","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I40193446","display_name":"University Ferhat Abbas of Setif","ror":"https://ror.org/02rzqza52","country_code":"DZ","type":"education","lineage":["https://openalex.org/I40193446"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"H Lakehal","raw_affiliation_strings":["Laboratoire de Physique Quantique et Systemes Dynamiques, D\u00e9partement de Physique Facult\u00e9 des Sciences, Universit\u00e9 Ferhat Abbas de S\u00e9tif - S\u00e9tif 19000, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Physique Quantique et Systemes Dynamiques, D\u00e9partement de Physique Facult\u00e9 des Sciences, Universit\u00e9 Ferhat Abbas de S\u00e9tif - S\u00e9tif 19000, Algeria","institution_ids":["https://openalex.org/I40193446"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I40193446"],"apc_list":{"value":1895,"currency":"USD","value_usd":1895},"apc_paid":null,"fwci":0.7333,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.65262217,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":96},"biblio":{"volume":"67","issue":"5","first_page":"695","last_page":"699"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11683","display_name":"Quantum and Classical Electrodynamics","score":0.2685999870300293,"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/T11683","display_name":"Quantum and Classical Electrodynamics","score":0.2685999870300293,"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":0.26440000534057617,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.16539999842643738,"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/dirac-equation","display_name":"Dirac equation","score":0.9800000190734863},{"id":"https://openalex.org/keywords/time-dependent-mass","display_name":"time-dependent mass","score":0.9589999914169312},{"id":"https://openalex.org/keywords/exact-solutions","display_name":"exact solutions","score":0.9660000205039978},{"id":"https://openalex.org/keywords/adiabatic-limit","display_name":"adiabatic limit","score":0.9279999732971191},{"id":"https://openalex.org/keywords/classical-limit","display_name":"classical limit","score":0.5019999742507935},{"id":"https://openalex.org/keywords/hamiltonian-mechanics","display_name":"Hamiltonian mechanics","score":0.8259999752044678},{"id":"https://openalex.org/keywords/relativistic-quantum-mechanics","display_name":"relativistic quantum mechanics","score":0.8080000281333923}],"concepts":[{"id":"https://openalex.org/C82601208","wikidata":"https://www.wikidata.org/wiki/Q272621","display_name":"Dirac equation","level":2,"score":0.6861133575439453},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.6525126099586487},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.6476380228996277},{"id":"https://openalex.org/C109663097","wikidata":"https://www.wikidata.org/wiki/Q182453","display_name":"Adiabatic process","level":2,"score":0.6078122854232788},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.563471794128418},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5560073852539062},{"id":"https://openalex.org/C30005106","wikidata":"https://www.wikidata.org/wiki/Q7858689","display_name":"Two-body Dirac equations","level":3,"score":0.4916685223579407},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.48819929361343384},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.4319213628768921},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.426675021648407},{"id":"https://openalex.org/C140673361","wikidata":"https://www.wikidata.org/wiki/Q7310838","display_name":"Relativistic wave equations","level":3,"score":0.4181712865829468},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3752806782722473},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.254192054271698},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2420673966407776},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1209/epl/i2004-10109-6","doi":"https://doi.org/10.1209/epl/i2004-10109-6","is_oa":false,"landing_page_url":"https://doi.org/10.1209/epl/i2004-10109-6","pdf_url":null,"source":{"id":"https://openalex.org/S161185981","display_name":"Europhysics Letters (EPL)","issn_l":"0295-5075","issn":["0295-5075","1286-4854"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310311669","host_organization_name":"Institute of Physics","host_organization_lineage":["https://openalex.org/P4310311669"],"host_organization_lineage_names":["Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Europhysics Letters (EPL)","raw_type":"journal-article"},{"id":"pmh:oai:edpsciences.org:dkey/10.1209/epl/i2004-10109-6","doi":null,"is_oa":false,"landing_page_url":"http://epljournal.edpsciences.org/10.1209/epl/i2004-10109-6/pdf","pdf_url":"http://epljournal.edpsciences.org/10.1209/epl/i2004-10109-6/pdf","source":{"id":"https://openalex.org/S4306400744","display_name":"Springer Link (Chiba Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I8488066","host_organization_name":"Chiba Institute of Technology","host_organization_lineage":["https://openalex.org/I8488066"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://doi.org/10.1209/epl/i2004-10109-6","raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1557048132","https://openalex.org/W1967836679","https://openalex.org/W1985018687","https://openalex.org/W1988175553","https://openalex.org/W2006702955","https://openalex.org/W2013542226","https://openalex.org/W2048905061","https://openalex.org/W2056296213","https://openalex.org/W2060333210","https://openalex.org/W2062475861","https://openalex.org/W2064905646","https://openalex.org/W2065016455","https://openalex.org/W2072035770","https://openalex.org/W2077714119","https://openalex.org/W2089048039","https://openalex.org/W2091118981","https://openalex.org/W2097780038","https://openalex.org/W2103047265","https://openalex.org/W2164924032","https://openalex.org/W2254769766","https://openalex.org/W2379223331","https://openalex.org/W2541478533"],"related_works":["https://openalex.org/W6903659287","https://openalex.org/W6910604184","https://openalex.org/W2074320793","https://openalex.org/W2089965226","https://openalex.org/W1496968143","https://openalex.org/W2091444822","https://openalex.org/W3119636546","https://openalex.org/W2095142006","https://openalex.org/W2462319370","https://openalex.org/W2058004822"],"abstract_inverted_index":{"We":[0],"present":[1],"exact":[2,57],"solutions":[3],"of":[4,33,45,55],"the":[5,25,56],"Dirac":[6],"equation":[7],"for":[8],"a":[9,16],"particle":[10],"with":[11],"time-dependent":[12,17],"mass":[13],"moving":[14],"in":[15,31],"linear":[18],"potential.":[19],"In":[20],"addition,":[21],"we":[22],"show":[23],"that":[24],"time":[26],"evolution":[27],"can":[28],"be":[29],"described":[30],"terms":[32],"classical":[34],"concept":[35],"which":[36],"leads":[37],"to":[38],"solve":[39],"this":[40],"problem":[41],"by":[42],"standard":[43],"techniques":[44],"Hamiltonian":[46],"mechanics.":[47],"Geometric":[48],"amplitude":[49],"emerges":[50],"as":[51],"an":[52],"adiabatic":[53],"limit":[54],"dynamics.":[58]},"counts_by_year":[{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}