{"id":"https://openalex.org/W367495063","doi":null,"title":"Constructing Even- and Odd-Negative Binomial States","display_name":"Constructing Even- and Odd-Negative Binomial States","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W367495063","mag":"367495063"},"language":"en","primary_location":{"id":"mag:367495063","doi":null,"is_oa":false,"landing_page_url":"http://www.cqvip.com/QK/83837X/200503/15153657.html","pdf_url":null,"source":{"id":"https://openalex.org/S4306554944","display_name":"\u7406\u8bba\u7269\u7406\u901a\u8baf\uff1a\u82f1\u6587\u7248","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"\u7406\u8bba\u7269\u7406\u901a\u8baf\uff1a\u82f1\u6587\u7248","raw_type":null},"volume":null,"type":"article","indexed_in":[],"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/A5042765203","display_name":"FANHong-Yi","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"FANHong-Yi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5039385855","display_name":"LISu","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"LISu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.04268121,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"43","issue":"3","first_page":"519","last_page":"522"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11414","display_name":"Quantum optics and atomic interactions","score":0.7397000193595886,"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/T11414","display_name":"Quantum optics and atomic interactions","score":0.7397000193595886,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.12890000641345978,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.049300000071525574,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/even-coherent-states","display_name":"even coherent states","score":0.6800000071525574},{"id":"https://openalex.org/keywords/odd-coherent-states","display_name":"odd coherent states","score":1.0},{"id":"https://openalex.org/keywords/nonlinear-coherent-states","display_name":"nonlinear coherent states","score":0.925000011920929},{"id":"https://openalex.org/keywords/normalization-factor","display_name":"normalization factor","score":0.656000018119812},{"id":"https://openalex.org/keywords/quantum-states","display_name":"quantum states","score":0.3619999885559082}],"concepts":[{"id":"https://openalex.org/C2781315470","wikidata":"https://www.wikidata.org/wiki/Q193623","display_name":"Binomial (polynomial)","level":2,"score":0.7312235832214355},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6875969767570496},{"id":"https://openalex.org/C136886441","wikidata":"https://www.wikidata.org/wiki/Q926129","display_name":"Normalization (sociology)","level":2,"score":0.6557789444923401},{"id":"https://openalex.org/C199335787","wikidata":"https://www.wikidata.org/wiki/Q743364","display_name":"Negative binomial distribution","level":3,"score":0.6471933126449585},{"id":"https://openalex.org/C34718186","wikidata":"https://www.wikidata.org/wiki/Q209875","display_name":"Binomial coefficient","level":2,"score":0.544176459312439},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5338505506515503},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5012257099151611},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.437645822763443},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33738476037979126},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.30657005310058594},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.27876558899879456},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22360926866531372},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.17534971237182617},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1495661735534668},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11203965544700623},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.07637760043144226},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C19165224","wikidata":"https://www.wikidata.org/wiki/Q23404","display_name":"Anthropology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:367495063","doi":null,"is_oa":false,"landing_page_url":"http://www.cqvip.com/QK/83837X/200503/15153657.html","pdf_url":null,"source":{"id":"https://openalex.org/S4306554944","display_name":"\u7406\u8bba\u7269\u7406\u901a\u8baf\uff1a\u82f1\u6587\u7248","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"\u7406\u8bba\u7269\u7406\u901a\u8baf\uff1a\u82f1\u6587\u7248","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2084197213","https://openalex.org/W2324903413","https://openalex.org/W2801226401","https://openalex.org/W2069896250","https://openalex.org/W2024318463","https://openalex.org/W860244992","https://openalex.org/W1564666697","https://openalex.org/W2417413440","https://openalex.org/W7099397708","https://openalex.org/W2048997350"],"abstract_inverted_index":{"By":[0],"suitably":[1],"choosing":[2],"the":[3,8,19,33],"normalization":[4],"factors":[5],"we":[6],"introduce":[7],"even-":[9,20],"and":[10,21],"odd-negative":[11],"binomial":[12,35],"states.In":[13],"some":[14],"limit":[15],"cases":[16],"they":[17],"approach":[18],"odd-coherent":[22],"states,":[23],"respectively.":[24],"We":[25],"also":[26],"derive":[27],"a":[28,39],"new":[29],"eigenvector":[30],"equation":[31],"that":[32],"negative":[34],"state":[36],"satisfies":[37],"as":[38],"nonlinear":[40],"coherent":[41],"state.":[42]},"counts_by_year":[],"updated_date":"2025-10-10T17:16:08.811792","created_date":"2016-06-24T00:00:00"}