{"id":"https://openalex.org/W2786757002","doi":"https://doi.org/10.1137/18m1171254","title":"Complex Magnetic Fields: An Improved Hardy--Laptev--Weidl Inequality and Quasi-Self-Adjointness","display_name":"Complex Magnetic Fields: An Improved Hardy--Laptev--Weidl Inequality and Quasi-Self-Adjointness","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2786757002","doi":"https://doi.org/10.1137/18m1171254","mag":"2786757002"},"language":"en","primary_location":{"id":"doi:10.1137/18m1171254","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1171254","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1802.05586","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009002911","display_name":"David Krej\u010di\u0159\u0131\u0301k","orcid":"https://orcid.org/0000-0002-2442-1331"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"David Krej\u010di\u0159\u00edk","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5009002911"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00215284,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"51","issue":"2","first_page":"790","last_page":"807"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.9998999834060669,"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/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.9998999834060669,"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9983000159263611,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9900000095367432,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hermitian-matrix","display_name":"Hermitian matrix","score":0.6898320913314819},{"id":"https://openalex.org/keywords/self-adjoint-operator","display_name":"Self-adjoint operator","score":0.6321825981140137},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.6197697520256042},{"id":"https://openalex.org/keywords/magnetic-field","display_name":"Magnetic field","score":0.5937618017196655},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5605665445327759},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.45614027976989746},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.42858511209487915},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.38077312707901},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3782556653022766},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3425180912017822},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.3270738124847412},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.24126026034355164},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13678020238876343},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.05810952186584473}],"concepts":[{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.6898320913314819},{"id":"https://openalex.org/C171972299","wikidata":"https://www.wikidata.org/wiki/Q6500908","display_name":"Self-adjoint operator","level":3,"score":0.6321825981140137},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.6197697520256042},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.5937618017196655},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5605665445327759},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.45614027976989746},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.42858511209487915},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.38077312707901},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3782556653022766},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3425180912017822},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3270738124847412},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.24126026034355164},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13678020238876343},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.05810952186584473},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/18m1171254","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1171254","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1802.05586","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1802.05586","pdf_url":"https://arxiv.org/pdf/1802.05586","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"mag:2786757002","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1802.05586","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1802.05586","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1802.05586","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1802.05586","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1802.05586","pdf_url":"https://arxiv.org/pdf/1802.05586","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":[{"score":0.6200000047683716,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G2212970022","display_name":null,"funder_award_id":"18-08835S","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"},{"id":"https://openalex.org/G8092904476","display_name":null,"funder_award_id":"PTDC/MAT-CAL/4334/2014","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"}],"funders":[{"id":"https://openalex.org/F4320321006","display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky","ror":"https://ror.org/01pv73b02"},{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W85266298","https://openalex.org/W166129609","https://openalex.org/W1575147392","https://openalex.org/W1582715874","https://openalex.org/W1674758743","https://openalex.org/W1743149844","https://openalex.org/W1824815610","https://openalex.org/W1973828774","https://openalex.org/W2000447874","https://openalex.org/W2020654358","https://openalex.org/W2043879772","https://openalex.org/W2048931476","https://openalex.org/W2058312726","https://openalex.org/W2067123857","https://openalex.org/W2075389236","https://openalex.org/W2081191751","https://openalex.org/W2084732260","https://openalex.org/W2097883656","https://openalex.org/W2103904682","https://openalex.org/W2138270145","https://openalex.org/W2157723930","https://openalex.org/W2164217603","https://openalex.org/W2587783885","https://openalex.org/W2950137960","https://openalex.org/W2963605382","https://openalex.org/W3100980174","https://openalex.org/W3106373324","https://openalex.org/W3122998451"],"related_works":["https://openalex.org/W3102794216","https://openalex.org/W3100422349","https://openalex.org/W1985066625","https://openalex.org/W2226361302","https://openalex.org/W2270726930","https://openalex.org/W2621022288","https://openalex.org/W2066885611","https://openalex.org/W2035080381","https://openalex.org/W2054265218","https://openalex.org/W3099649578","https://openalex.org/W2309738068","https://openalex.org/W3106470119","https://openalex.org/W2055982989","https://openalex.org/W2044447651","https://openalex.org/W3182920628","https://openalex.org/W2963151900","https://openalex.org/W1973643546","https://openalex.org/W3105402099","https://openalex.org/W3101563542","https://openalex.org/W3148410376"],"abstract_inverted_index":{"We":[0,53],"show":[1],"that":[2],"allowing":[3],"magnetic":[4,15,37],"fields":[5],"to":[6,10,19,71],"be":[7],"complex-valued":[8],"leads":[9],"an":[11],"improvement":[12],"in":[13,44],"the":[14,28,33,45,58,66],"Hardy-type":[16],"inequality":[17],"due":[18],"Laptev":[20],"and":[21,49,61],"Weidl.":[22],"The":[23],"proof":[24],"is":[25,40],"based":[26],"on":[27,32],"study":[29,54],"of":[30,41,47,57],"momenta":[31,60],"circle":[34],"with":[35],"complex":[36],"fields,":[38],"which":[39],"independent":[42],"interest":[43],"context":[46],"$\\mathcal{PT}$-symmetric":[48],"quasi-Hermitian":[50],"quantum":[51],"mechanics.":[52],"basis":[55],"properties":[56],"non-self-adjoint":[59],"derive":[62],"closed":[63],"formulae":[64],"for":[65],"similarity":[67],"transforms":[68],"relating":[69],"them":[70],"self-adjoint":[72],"operators.":[73]},"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2018-02-23T00:00:00"}
