{"id":"https://openalex.org/W7220737904","doi":"https://doi.org/10.48550/arxiv.2610.05593","title":"A solvable quantum many-body problem","display_name":"A solvable quantum many-body problem","publication_year":2026,"publication_date":"2026-10-04","ids":{"openalex":"https://openalex.org/W7220737904","doi":"https://doi.org/10.48550/arxiv.2610.05593"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.05593","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.05593","pdf_url":"https://arxiv.org/pdf/2610.05593","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/2610.05593","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002272333","display_name":"John Lekner","orcid":"https://orcid.org/0000-0003-4675-9242","observed_orcids":["https://orcid.org/0000-0003-4675-9242"]},"institutions":[{"id":"https://openalex.org/I41156924","display_name":"Victoria University of Wellington","ror":"https://ror.org/0040r6f76","country_code":"NZ","type":"education","lineage":["https://openalex.org/I41156924"]}],"countries":["NZ"],"is_corresponding":true,"raw_author_name":"Lekner, John","raw_affiliation_strings":["School of Chemical and Physical Sciences , Victoria University of Wellington , Wellington , New Zealand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Chemical and Physical Sciences , Victoria University of Wellington , Wellington , New Zealand","institution_ids":["https://openalex.org/I41156924"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5002272333"],"corresponding_institution_ids":["https://openalex.org/I41156924"],"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/T11804","display_name":"Quantum many-body systems","score":0.3463999927043915,"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":0.3463999927043915,"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":0.2506999969482422,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.1071000024676323,"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/many-body-wave-functions","display_name":"many-body wave functions","score":0.7620000243186951},{"id":"https://openalex.org/keywords/schrodinger-equation","display_name":"Schr\u00f6dinger equation","score":0.6539999842643738},{"id":"https://openalex.org/keywords/angular-momentum","display_name":"angular momentum","score":0.859000027179718},{"id":"https://openalex.org/keywords/n-body-problem","display_name":"N-body problem","score":0.44999998807907104}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5745000243186951},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5740000009536743},{"id":"https://openalex.org/C2777742833","wikidata":"https://www.wikidata.org/wiki/Q1964083","display_name":"Reciprocal","level":2,"score":0.5666000247001648},{"id":"https://openalex.org/C197806323","wikidata":"https://www.wikidata.org/wiki/Q909221","display_name":"Particle in a box","level":3,"score":0.5547000169754028},{"id":"https://openalex.org/C113603373","wikidata":"https://www.wikidata.org/wiki/Q2362761","display_name":"Wave function","level":2,"score":0.5497999787330627},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5350000262260437},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.5170999765396118},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.5115000009536743},{"id":"https://openalex.org/C155675718","wikidata":"https://www.wikidata.org/wiki/Q161254","display_name":"Angular momentum","level":2,"score":0.5101000070571899},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49239999055862427},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4706999957561493},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4652999937534332},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.43389999866485596},{"id":"https://openalex.org/C150454350","wikidata":"https://www.wikidata.org/wiki/Q1190143","display_name":"Angular momentum operator","level":5,"score":0.4275999963283539},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.39489999413490295},{"id":"https://openalex.org/C45193367","wikidata":"https://www.wikidata.org/wiki/Q1141095","display_name":"Total angular momentum quantum number","level":3,"score":0.39259999990463257},{"id":"https://openalex.org/C189901312","wikidata":"https://www.wikidata.org/wiki/Q1916324","display_name":"Azimuthal quantum number","level":5,"score":0.37049999833106995},{"id":"https://openalex.org/C69758537","wikidata":"https://www.wikidata.org/wiki/Q5370161","display_name":"Finite potential well","level":2,"score":0.3538999855518341},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.34470000863075256},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.3402999937534332},{"id":"https://openalex.org/C20782240","wikidata":"https://www.wikidata.org/wiki/Q3272968","display_name":"Angular momentum coupling","level":4,"score":0.3249000012874603},{"id":"https://openalex.org/C174038435","wikidata":"https://www.wikidata.org/wiki/Q232431","display_name":"Quantum number","level":2,"score":0.3151000142097473},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.30730000138282776},{"id":"https://openalex.org/C33098168","wikidata":"https://www.wikidata.org/wiki/Q108537107","display_name":"Rotational invariance","level":2,"score":0.30300000309944153},{"id":"https://openalex.org/C49847556","wikidata":"https://www.wikidata.org/wiki/Q3964631","display_name":"Explained sum of squares","level":2,"score":0.29980000853538513},{"id":"https://openalex.org/C60718061","wikidata":"https://www.wikidata.org/wiki/Q1414747","display_name":"Momentum (technical analysis)","level":2,"score":0.2987000048160553},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2777000069618225},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.265500009059906},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.26269999146461487}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.05593","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.05593","pdf_url":"https://arxiv.org/pdf/2610.05593","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.2610.05593","doi":"https://doi.org/10.48550/arxiv.2610.05593","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.05593","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:2610.05593","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.05593","pdf_url":"https://arxiv.org/pdf/2610.05593","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":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7220737904.pdf","grobid_xml":"https://content.openalex.org/works/W7220737904.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1981300334","https://openalex.org/W1968372238","https://openalex.org/W2066188689","https://openalex.org/W2181637548","https://openalex.org/W2009084558","https://openalex.org/W2078356619","https://openalex.org/W1981789134","https://openalex.org/W7005234757","https://openalex.org/W2198817651","https://openalex.org/W4362587027"],"abstract_inverted_index":{"A":[0,42],"many-body":[1],"wavefunction":[2],"exponential":[3],"in":[4],"R,":[5,38],"where":[6],"the":[7,12,15,18,25,35],"square":[8],"of":[9,14,17,27,37,44,49],"R":[10],"is":[11,21,52],"sum":[13],"squares":[16],"interparticle":[19],"distances,":[20],"shown":[22],"to":[23,34],"be":[24],"solution":[26],"Schrodingers":[28],"equation":[29],"for":[30,39],"a":[31],"potential":[32],"proportional":[33],"reciprocal":[36],"N":[40],"particles.":[41],"set":[43],"translationally":[45],"invariant":[46],"rotational":[47],"eigenstates":[48],"angular":[50],"momentum":[51],"found.":[53]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-10-07T00:00:00"}