{"id":"https://openalex.org/W2011853548","doi":"https://doi.org/10.1103/physrevd.49.5582","title":"Electron self-energy in a homogeneous magnetic field","display_name":"Electron self-energy in a homogeneous magnetic field","publication_year":1994,"publication_date":"1994-05-15","ids":{"openalex":"https://openalex.org/W2011853548","doi":"https://doi.org/10.1103/physrevd.49.5582","mag":"2011853548","pmid":"https://pubmed.ncbi.nlm.nih.gov/10016876"},"language":"en","primary_location":{"id":"doi:10.1103/physrevd.49.5582","doi":"https://doi.org/10.1103/physrevd.49.5582","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevd.49.5582","pdf_url":null,"source":{"id":"https://openalex.org/S4210190737","display_name":"Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields","issn_l":"0556-2821","issn":["0556-2821","1089-4918","1538-4500","1550-2368","1550-7998"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review D","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","pubmed"],"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/A5006192025","display_name":"R. Gepr\u00e4gs","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I8087733","display_name":"University of T\u00fcbingen","ror":"https://ror.org/03a1kwz48","country_code":"DE","type":"education","lineage":["https://openalex.org/I8087733"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"R. Gepr\u00e4gs","raw_affiliation_strings":["Lehr- und Forschungsbereich Theoretische Astrophysik der Universit\u00e4t T\u00fcbingen, Auf der Morgenstelle 10, 72076 T\u00fcbingen, Federal Republic of Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lehr- und Forschungsbereich Theoretische Astrophysik der Universit\u00e4t T\u00fcbingen, Auf der Morgenstelle 10, 72076 T\u00fcbingen, Federal Republic of Germany","institution_ids":["https://openalex.org/I8087733"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003045414","display_name":"H. Riffert","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I8087733","display_name":"University of T\u00fcbingen","ror":"https://ror.org/03a1kwz48","country_code":"DE","type":"education","lineage":["https://openalex.org/I8087733"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"H. Riffert","raw_affiliation_strings":["Lehr- und Forschungsbereich Theoretische Astrophysik der Universit\u00e4t T\u00fcbingen, Auf der Morgenstelle 10, 72076 T\u00fcbingen, Federal Republic of Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lehr- und Forschungsbereich Theoretische Astrophysik der Universit\u00e4t T\u00fcbingen, Auf der Morgenstelle 10, 72076 T\u00fcbingen, Federal Republic of Germany","institution_ids":["https://openalex.org/I8087733"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077664816","display_name":"H. Herold","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I8087733","display_name":"University of T\u00fcbingen","ror":"https://ror.org/03a1kwz48","country_code":"DE","type":"education","lineage":["https://openalex.org/I8087733"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"H. Herold","raw_affiliation_strings":["Lehr- und Forschungsbereich Theoretische Astrophysik der Universit\u00e4t T\u00fcbingen, Auf der Morgenstelle 10, 72076 T\u00fcbingen, Federal Republic of Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lehr- und Forschungsbereich Theoretische Astrophysik der Universit\u00e4t T\u00fcbingen, Auf der Morgenstelle 10, 72076 T\u00fcbingen, Federal Republic of Germany","institution_ids":["https://openalex.org/I8087733"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034015949","display_name":"H. Ruder","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I8087733","display_name":"University of T\u00fcbingen","ror":"https://ror.org/03a1kwz48","country_code":"DE","type":"education","lineage":["https://openalex.org/I8087733"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"H. Ruder","raw_affiliation_strings":["Lehr- und Forschungsbereich Theoretische Astrophysik der Universit\u00e4t T\u00fcbingen, Auf der Morgenstelle 10, 72076 T\u00fcbingen, Federal Republic of Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lehr- und Forschungsbereich Theoretische Astrophysik der Universit\u00e4t T\u00fcbingen, Auf der Morgenstelle 10, 72076 T\u00fcbingen, Federal Republic of Germany","institution_ids":["https://openalex.org/I8087733"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108402696","display_name":"G\u00fcnter Wunner","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I8087733","display_name":"University of T\u00fcbingen","ror":"https://ror.org/03a1kwz48","country_code":"DE","type":"education","lineage":["https://openalex.org/I8087733"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"G. Wunner","raw_affiliation_strings":["Lehr- und Forschungsbereich Theoretische Astrophysik der Universit\u00e4t T\u00fcbingen, Auf der Morgenstelle 10, 72076 T\u00fcbingen, Federal Republic of Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lehr- und Forschungsbereich Theoretische Astrophysik der Universit\u00e4t T\u00fcbingen, Auf der Morgenstelle 10, 72076 T\u00fcbingen, Federal Republic of Germany","institution_ids":["https://openalex.org/I8087733"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I8087733"],"apc_list":null,"apc_paid":null,"fwci":0.949,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.70246519,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":95},"biblio":{"volume":"49","issue":"10","first_page":"5582","last_page":"5589"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11683","display_name":"Quantum and Classical Electrodynamics","score":0.9634000062942505,"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":0.9634000062942505,"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/T10048","display_name":"Particle physics theoretical and experimental studies","score":0.0203000009059906,"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/T10224","display_name":"Quantum Chromodynamics and Particle Interactions","score":0.002899999963119626,"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/electron-self-energy","display_name":"electron self-energy","score":0.9980000257492065},{"id":"https://openalex.org/keywords/uniform-magnetic-field","display_name":"uniform magnetic field","score":0.8830000162124634},{"id":"https://openalex.org/keywords/landau-levels","display_name":"Landau levels","score":0.949999988079071},{"id":"https://openalex.org/keywords/relativistic-quantum-electrodynamics","display_name":"relativistic quantum electrodynamics","score":0.6869999766349792},{"id":"https://openalex.org/keywords/spin-flip-transitions","display_name":"spin-flip transitions","score":0.7089999914169312},{"id":"https://openalex.org/keywords/cyclotron-emission","display_name":"cyclotron emission","score":0.7900000214576721},{"id":"https://openalex.org/keywords/level-crossings","display_name":"level crossings","score":0.5400000214576721},{"id":"https://openalex.org/keywords/decay-rate","display_name":"decay rate","score":0.7609999775886536},{"id":"https://openalex.org/keywords/high-magnetic-field","display_name":"high magnetic fields","score":0.5609999895095825}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.8228803873062134},{"id":"https://openalex.org/C2778049214","wikidata":"https://www.wikidata.org/wiki/Q7512234","display_name":"Sigma","level":2,"score":0.5900012850761414},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.5777336359024048},{"id":"https://openalex.org/C42704618","wikidata":"https://www.wikidata.org/wiki/Q910917","display_name":"Spin (aerodynamics)","level":2,"score":0.5758025646209717},{"id":"https://openalex.org/C184779094","wikidata":"https://www.wikidata.org/wiki/Q26383","display_name":"Atomic physics","level":1,"score":0.555331826210022},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.5526226758956909},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.5463382601737976},{"id":"https://openalex.org/C147120987","wikidata":"https://www.wikidata.org/wiki/Q2225","display_name":"Electron","level":2,"score":0.5449418425559998},{"id":"https://openalex.org/C50899005","wikidata":"https://www.wikidata.org/wiki/Q277967","display_name":"Landau quantization","level":3,"score":0.4517750144004822},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.39145025610923767},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2616707384586334},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1103/physrevd.49.5582","doi":"https://doi.org/10.1103/physrevd.49.5582","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevd.49.5582","pdf_url":null,"source":{"id":"https://openalex.org/S4210190737","display_name":"Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields","issn_l":"0556-2821","issn":["0556-2821","1089-4918","1538-4500","1550-2368","1550-7998"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review D","raw_type":"journal-article"},{"id":"pmid:10016876","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/10016876","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical review. D, Particles and fields","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1968460731","https://openalex.org/W1988230755","https://openalex.org/W1991387770","https://openalex.org/W2037413338","https://openalex.org/W2063623846","https://openalex.org/W2091276842","https://openalex.org/W2093212801","https://openalex.org/W2107349523","https://openalex.org/W2225565636","https://openalex.org/W2563520564","https://openalex.org/W4210724502","https://openalex.org/W4241984901"],"related_works":["https://openalex.org/W1968460731","https://openalex.org/W2063623846","https://openalex.org/W2945183840","https://openalex.org/W2891631670","https://openalex.org/W2120414587","https://openalex.org/W2094807205","https://openalex.org/W2216211312","https://openalex.org/W3101007311","https://openalex.org/W2054296934","https://openalex.org/W2107783290"],"abstract_inverted_index":{"A":[0],"relativistic":[1],"calculation":[2],"of":[3,38,66],"the":[4,16,23,36,39,46,84,102],"electron":[5],"self-energy":[6],"in":[7],"a":[8,33,56,64],"strong":[9],"homogeneous":[10],"magnetic":[11],"field":[12],"is":[13,50,97],"presented,":[14],"and":[15,27,58],"final":[17],"expressions":[18],"are":[19,78],"calculated":[20],"numerically":[21],"for":[22,52,61,69,75,88],"Landau":[24],"levels":[25,67],"$N=0,1,2,3$":[26],"both":[28],"spin":[29],"projections":[30],"($\\ensuremath{\\sigma}=\\ifmmode\\pm\\else\\textpm\\fi{}1$).":[31],"For":[32],"given":[34],"$N>0$":[35],"energy":[37,49],"spin-up":[40],"state":[41],"($\\ensuremath{\\sigma}=+1$)":[42],"increases":[43,60],"monotonically,":[44],"but":[45],"spin-down":[47],"($\\ensuremath{\\sigma}=\\ensuremath{-}1$)":[48],"negative":[51],"small":[53,99],"fields,":[54],"shows":[55],"minimum,":[57],"then":[59],"large":[62],"fields;":[63],"crossing":[65],"appears":[68],"$N>0$.":[70],"The":[71],"total":[72],"decay":[73],"rates":[74],"these":[76],"states":[77],"also":[79],"obtained,":[80],"as":[81,83],"well":[82],"spin-flip":[85],"transition":[86,95],"probability":[87],"$(N=1,\\ensuremath{\\sigma}=+1)\\ensuremath{\\rightarrow}(N=1,\\ensuremath{\\sigma}=\\ensuremath{-}1)$.":[89],"It":[90],"turns":[91],"out":[92],"that":[93],"this":[94],"rate":[96],"extremely":[98],"compared":[100],"to":[101],"usual":[103],"cyclotron":[104],"emission":[105],"rates.":[106]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-09-25T08:18:29.962427","created_date":"2016-06-24T00:00:00"}
