{"id":"https://openalex.org/W2962937895","doi":null,"title":"$(q;l,\\\\lambda)$-Deformed Heisenberg Algebra: Coherent States, Their Statistics and Geometry","display_name":"$(q;l,\\\\lambda)$-Deformed Heisenberg Algebra: Coherent States, Their Statistics and Geometry","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2962937895","mag":"2962937895"},"language":"en","primary_location":{"id":"pmh:oai:CULeuclid:euclid.adjm/1375293535","doi":null,"is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.adjm/1375293535","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"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":"","raw_type":"Text"},"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/A5079789991","display_name":"J. D. Bukweli-Kyemba","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bukweli-Kyemba, J. D.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5005968838","display_name":"Mahouton Norbert Hounkonnou","orcid":"https://orcid.org/0000-0002-6231-4975","observed_orcids":["https://orcid.org/0000-0002-6231-4975"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hounkonnou, M. N.","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":0.32192191,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.4311999976634979,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.4311999976634979,"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.15700000524520874,"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"}},{"id":"https://openalex.org/T11414","display_name":"Quantum optics and atomic interactions","score":0.13210000097751617,"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/generalized-coherent-states","display_name":"generalized coherent states","score":0.8510000109672546},{"id":"https://openalex.org/keywords/sub-poissonian-photon-statistics","display_name":"sub-Poissonian statistics","score":0.9580000042915344},{"id":"https://openalex.org/keywords/matrix-elements","display_name":"matrix elements","score":0.44699999690055847},{"id":"https://openalex.org/keywords/generalized-metric","display_name":"generalized metric","score":0.8080000281333923},{"id":"https://openalex.org/keywords/quantum-geometry","display_name":"quantum geometry","score":0.35899999737739563},{"id":"https://openalex.org/keywords/deformed-quantum-mechanics","display_name":"deformed quantum mechanics","score":0.5099999904632568}],"concepts":[{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.6388933658599854},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5199019312858582},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.513862133026123},{"id":"https://openalex.org/C152026323","wikidata":"https://www.wikidata.org/wiki/Q1032070","display_name":"Coherent states","level":3,"score":0.49973201751708984},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.44818568229675293},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.44804322719573975},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3688849210739136},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3334972858428955},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3289825916290283},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.32472896575927734},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.23871895670890808},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.21068161725997925},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:oai:CULeuclid:euclid.adjm/1375293535","doi":null,"is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.adjm/1375293535","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"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":"","raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4293499207","https://openalex.org/W2256323995","https://openalex.org/W1983824617","https://openalex.org/W2162224622","https://openalex.org/W4292339995","https://openalex.org/W2127096250","https://openalex.org/W1527137580","https://openalex.org/W2010540734","https://openalex.org/W7100434702","https://openalex.org/W4394720824"],"abstract_inverted_index":{"The":[0],"Heisenberg":[1],"algebra":[2],"is":[3,52,56],"deformed":[4,50],"with":[5],"the":[6,22,28,41,45,48,60],"set":[7],"of":[8,17,31,44,47],"parameters":[9],"$\\\\{q,":[10],"l,\\\\lambda\\\\}$":[11],"to":[12,58],"generate":[13],"a":[14,38],"new":[15],"family":[16],"generalized":[18,62],"coherent":[19],"states":[20,51],"respecting":[21],"Klauder":[23],"criteria.":[24],"In":[25],"this":[26],"framework,":[27],"matrix":[29],"elements":[30],"relevant":[32],"operators":[33],"are":[34],"exactly":[35],"computed.":[36],"Then,":[37],"proof":[39],"on":[40],"subPoissonian":[42],"character":[43],"statistics":[46],"main":[49],"provided.":[53],"This":[54],"property":[55],"used":[57],"determine":[59],"induced":[61],"metric.":[63]},"counts_by_year":[],"updated_date":"2026-02-09T06:03:36.439944","created_date":"2019-07-30T00:00:00"}
