{"id":"https://openalex.org/W2036626205","doi":"https://doi.org/10.1142/s0217984997000554","title":"On the Two-Magnon Bound States for the Quantum Heisenberg Chain with Variable Range Exchange","display_name":"On the Two-Magnon Bound States for the Quantum Heisenberg Chain with Variable Range Exchange","publication_year":1997,"publication_date":"1997-05-10","ids":{"openalex":"https://openalex.org/W2036626205","doi":"https://doi.org/10.1142/s0217984997000554","mag":"2036626205"},"language":"en","primary_location":{"id":"doi:10.1142/s0217984997000554","doi":"https://doi.org/10.1142/s0217984997000554","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217984997000554","pdf_url":null,"source":{"id":"https://openalex.org/S88537382","display_name":"Modern Physics Letters B","issn_l":"0217-9849","issn":["0217-9849","1793-6640"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Modern Physics Letters B","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/solv-int/9612008","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071214624","display_name":"J. Dittrich","orcid":"https://orcid.org/0000-0002-4827-5498","observed_orcids":["https://orcid.org/0000-0002-4827-5498"]},"institutions":[{"id":"https://openalex.org/I202391551","display_name":"Czech Academy of Sciences","ror":"https://ror.org/053avzc18","country_code":"CZ","type":"government","lineage":["https://openalex.org/I202391551"]},{"id":"https://openalex.org/I4210149327","display_name":"Czech Academy of Sciences, Nuclear Physics Institute","ror":"https://ror.org/04jymbd90","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210149327"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"J. Dittrich","raw_affiliation_strings":["Nuclear Physics Institute, Academy of Sciences of the Czech Republic, CZ-250 68 \u0158e\u017e, Republic of Czech"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nuclear Physics Institute, Academy of Sciences of the Czech Republic, CZ-250 68 \u0158e\u017e, Republic of Czech","institution_ids":["https://openalex.org/I202391551","https://openalex.org/I4210149327"]}]},{"author_position":"last","author":{"id":null,"display_name":"V. I. Inozemtsev","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I32699454","display_name":"Joint Institute for Nuclear Research","ror":"https://ror.org/044yd9t77","country_code":"RU","type":"facility","lineage":["https://openalex.org/I32699454"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"V. I. Inozemtsev","raw_affiliation_strings":["BLTP, JINR, 141980 Dubna, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"BLTP, JINR, 141980 Dubna, Russia","institution_ids":["https://openalex.org/I32699454"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"11","issue":"11","first_page":"453","last_page":"459"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.6747999787330627,"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/T11804","display_name":"Quantum many-body systems","score":0.6747999787330627,"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/T11682","display_name":"Advanced Condensed Matter Physics","score":0.25589999556541443,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter 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/T10037","display_name":"Physics of Superconductivity and Magnetism","score":0.03020000085234642,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter 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/two-magnon-bound-states","display_name":"two-magnon bound states","score":0.996999979019165},{"id":"https://openalex.org/keywords/spin-1-2-chain","display_name":"spin-1/2 chain","score":0.8040000200271606},{"id":"https://openalex.org/keywords/pseudomomentum","display_name":"pseudomomentum","score":0.8519999980926514},{"id":"https://openalex.org/keywords/magnon-spectrum","display_name":"magnon spectrum","score":0.38499999046325684}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7577999830245972},{"id":"https://openalex.org/C204382992","wikidata":"https://www.wikidata.org/wiki/Q1377101","display_name":"Magnon","level":3,"score":0.6358000040054321},{"id":"https://openalex.org/C174084160","wikidata":"https://www.wikidata.org/wiki/Q908049","display_name":"Bound state","level":2,"score":0.6169999837875366},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.5666999816894531},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.5648999810218811},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5394999980926514},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5266000032424927},{"id":"https://openalex.org/C113603373","wikidata":"https://www.wikidata.org/wiki/Q2362761","display_name":"Wave function","level":2,"score":0.5232999920845032},{"id":"https://openalex.org/C42704618","wikidata":"https://www.wikidata.org/wiki/Q910917","display_name":"Spin (aerodynamics)","level":2,"score":0.44519999623298645},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.4433000087738037},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.43549999594688416},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.42739999294281006},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.4262000024318695},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.4259999990463257},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.3921999931335449},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.375},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.36800000071525574},{"id":"https://openalex.org/C201665358","wikidata":"https://www.wikidata.org/wiki/Q899196","display_name":"Heisenberg model","level":3,"score":0.3650999963283539},{"id":"https://openalex.org/C174771821","wikidata":"https://www.wikidata.org/wiki/Q780736","display_name":"Exchange interaction","level":3,"score":0.34389999508857727},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.33719998598098755},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.31290000677108765},{"id":"https://openalex.org/C174038435","wikidata":"https://www.wikidata.org/wiki/Q232431","display_name":"Quantum number","level":2,"score":0.30489999055862427},{"id":"https://openalex.org/C44221107","wikidata":"https://www.wikidata.org/wiki/Q4431229","display_name":"Spin wave","level":3,"score":0.2879999876022339},{"id":"https://openalex.org/C35325081","wikidata":"https://www.wikidata.org/wiki/Q7577416","display_name":"Spin states","level":2,"score":0.28110000491142273},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.2721000015735626},{"id":"https://openalex.org/C181543814","wikidata":"https://www.wikidata.org/wiki/Q44746","display_name":"Uncertainty principle","level":3,"score":0.2612999975681305}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0217984997000554","doi":"https://doi.org/10.1142/s0217984997000554","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217984997000554","pdf_url":null,"source":{"id":"https://openalex.org/S88537382","display_name":"Modern Physics Letters B","issn_l":"0217-9849","issn":["0217-9849","1793-6640"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Modern Physics Letters B","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:solv-int/9612008","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/solv-int/9612008","pdf_url":"https://arxiv.org/pdf/solv-int/9612008","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.solv-int/9612008","doi":"https://doi.org/10.48550/arxiv.solv-int/9612008","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.solv-int/9612008","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:solv-int/9612008","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/solv-int/9612008","pdf_url":"https://arxiv.org/pdf/solv-int/9612008","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":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2036626205.pdf","grobid_xml":"https://content.openalex.org/works/W2036626205.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W4240867252"],"related_works":["https://openalex.org/W2088505340","https://openalex.org/W1993181496","https://openalex.org/W2075347291","https://openalex.org/W4402363322","https://openalex.org/W2078162070","https://openalex.org/W2065366804","https://openalex.org/W2089947447","https://openalex.org/W1976882762","https://openalex.org/W1995106475","https://openalex.org/W2042821075"],"abstract_inverted_index":{"The":[0],"spectrum":[1],"of":[2,16,33,37,55,66],"finite-difference":[3],"two-magnon":[4],"operator":[5],"is":[6,23],"investigated":[7],"for":[8,30,41],"quantum":[9],"S=1/2":[10],"chain":[11,44],"with":[12,45,58],"variable":[13],"range":[14],"exchange":[15],"the":[17,34,42,67],"form":[18],"h(j-k)\u221d":[19],"sinh":[20],"-2a(j-k).":[21],"It":[22],"found":[24],"that":[25],"usual":[26],"bound":[27,56],"state":[28,57],"appears":[29,62],"some":[31],"values":[32,65],"total":[35,68],"pseudomomentum":[36],"two":[38],"magnons":[39],"as":[40],"Heisenberg":[43],"nearest-neighbor":[46],"spin":[47],"interaction.":[48],"Besides":[49],"this":[50],"state,":[51],"a":[52],"new":[53],"type":[54],"oscillating":[59],"wave":[60],"function":[61],"at":[63],"larger":[64],"pseudomomentum.":[69]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}