{"id":"https://openalex.org/W4402503525","doi":"https://doi.org/10.1088/1402-4896/ad7aaf","title":"One-dimensional Dunkl quantum mechanics: a path integral approach","display_name":"One-dimensional Dunkl quantum mechanics: a path integral approach","publication_year":2024,"publication_date":"2024-09-13","ids":{"openalex":"https://openalex.org/W4402503525","doi":"https://doi.org/10.1088/1402-4896/ad7aaf"},"language":"en","primary_location":{"id":"doi:10.1088/1402-4896/ad7aaf","doi":"https://doi.org/10.1088/1402-4896/ad7aaf","is_oa":false,"landing_page_url":"https://doi.org/10.1088/1402-4896/ad7aaf","pdf_url":null,"source":{"id":"https://openalex.org/S59012888","display_name":"Physica Scripta","issn_l":"0031-8949","issn":["0031-8949","1402-4896"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","ki-jl-1","norway-1","poland-40","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physica Scripta","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2407.12644","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109746545","display_name":"Amar Benchikha","orcid":"https://orcid.org/0009-0003-9848-0822","observed_orcids":["https://orcid.org/0009-0003-9848-0822"]},"institutions":[{"id":"https://openalex.org/I125485651","display_name":"University Fr\u00e8res Mentouri Constantine 1","ror":"https://ror.org/017wv6808","country_code":"DZ","type":"education","lineage":["https://openalex.org/I125485651"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"A Benchikha","raw_affiliation_strings":["D\u00e9partement de EC, Facult\u00e9 de SNV, Universit\u00e9 Constantine 1 Fr\u00e8res Mentouri, Constantine, Algeria","Laboratoire de Physique Math\u00e9matique et Subatomique, LPMS, Universit\u00e9 Constantine 1 Fr\u00e8res Mentouri, Constantine, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement de EC, Facult\u00e9 de SNV, Universit\u00e9 Constantine 1 Fr\u00e8res Mentouri, Constantine, Algeria","institution_ids":["https://openalex.org/I125485651"]},{"raw_affiliation_string":"Laboratoire de Physique Math\u00e9matique et Subatomique, LPMS, Universit\u00e9 Constantine 1 Fr\u00e8res Mentouri, Constantine, Algeria","institution_ids":["https://openalex.org/I125485651"]}]},{"author_position":"middle","author":{"id":null,"display_name":"B Hamil","orcid":"https://orcid.org/0000-0002-7043-6104","observed_orcids":["https://orcid.org/0000-0002-7043-6104"]},"institutions":[{"id":"https://openalex.org/I125485651","display_name":"University Fr\u00e8res Mentouri Constantine 1","ror":"https://ror.org/017wv6808","country_code":"DZ","type":"education","lineage":["https://openalex.org/I125485651"]}],"countries":["DZ"],"is_corresponding":true,"raw_author_name":"B Hamil","raw_affiliation_strings":["Laboratoire de Physique Math\u00e9matique et Subatomique, LPMS, Universit\u00e9 Constantine 1 Fr\u00e8res Mentouri, Constantine, Algeria"],"raw_orcid":"https://orcid.org/0000-0002-7043-6104","affiliations":[{"raw_affiliation_string":"Laboratoire de Physique Math\u00e9matique et Subatomique, LPMS, Universit\u00e9 Constantine 1 Fr\u00e8res Mentouri, Constantine, Algeria","institution_ids":["https://openalex.org/I125485651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006396308","display_name":"B. C. L\u00fctf\u00fco\u011flu","orcid":"https://orcid.org/0000-0001-6467-5005","observed_orcids":["https://orcid.org/0000-0001-6467-5005"]},"institutions":[{"id":"https://openalex.org/I75092371","display_name":"University of Hradec Kr\u00e1lov\u00e9","ror":"https://ror.org/05k238v14","country_code":"CZ","type":"education","lineage":["https://openalex.org/I75092371"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"B C L\u00fctf\u00fco\u011flu","raw_affiliation_strings":["Department of Physics, Faculty of Science, University of Hradec Kralove, Rokitanskeho 62/26, Hradec Kralove, 500 03, Czech Republic"],"raw_orcid":"https://orcid.org/0000-0001-6467-5005","affiliations":[{"raw_affiliation_string":"Department of Physics, Faculty of Science, University of Hradec Kralove, Rokitanskeho 62/26, Hradec Kralove, 500 03, Czech Republic","institution_ids":["https://openalex.org/I75092371"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070434852","display_name":"Boubakeur Khantoul","orcid":"https://orcid.org/0000-0001-9012-4864","observed_orcids":["https://orcid.org/0000-0001-9012-4864"]},"institutions":[{"id":"https://openalex.org/I4391767747","display_name":"University of Constantine 3","ror":"https://ror.org/04wk25q62","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4391767747"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"B Khantoul","raw_affiliation_strings":["Department of Process Engineering, University of Constantine 3\u2014Salah Boubnider, BP: B72 Ali Mendjeli, 25000 Constantine, Algeria"],"raw_orcid":"https://orcid.org/0000-0001-9012-4864","affiliations":[{"raw_affiliation_string":"Department of Process Engineering, University of Constantine 3\u2014Salah Boubnider, BP: B72 Ali Mendjeli, 25000 Constantine, Algeria","institution_ids":["https://openalex.org/I4391767747"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I125485651"],"apc_list":{"value":2285,"currency":"USD","value_usd":2285},"apc_paid":null,"fwci":9.1435,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.99218347,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"99","issue":"10","first_page":"105274","last_page":"105274"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.2904999852180481,"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"}},"topics":[{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.2904999852180481,"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/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.26930001378059387,"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":0.1525000035762787,"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/path-integral","display_name":"path integral","score":0.9710000157356262},{"id":"https://openalex.org/keywords/propagators","display_name":"propagators","score":0.9580000042915344},{"id":"https://openalex.org/keywords/one-dimensional-quantum-mechanics","display_name":"one-dimensional quantum mechanics","score":0.7609999775886536},{"id":"https://openalex.org/keywords/free-particle","display_name":"free particle","score":0.9449999928474426},{"id":"https://openalex.org/keywords/harmonic-oscillator","display_name":"harmonic oscillator","score":0.9750000238418579},{"id":"https://openalex.org/keywords/energy-spectrum","display_name":"energy spectrum","score":0.8320000171661377},{"id":"https://openalex.org/keywords/bound-state-wave-functions","display_name":"bound-state wave functions","score":0.9340000152587891},{"id":"https://openalex.org/keywords/spectral-decomposition","display_name":"spectral decomposition","score":0.9710000157356262}],"concepts":[{"id":"https://openalex.org/C154018700","wikidata":"https://www.wikidata.org/wiki/Q898323","display_name":"Path integral formulation","level":3,"score":0.8525917530059814},{"id":"https://openalex.org/C146857524","wikidata":"https://www.wikidata.org/wiki/Q7310696","display_name":"Relation between Schr\u00f6dinger's equation and the path integral formulation of quantum mechanics","level":4,"score":0.7325581908226013},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.4862162172794342},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4593956172466278},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.44659513235092163},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.43286392092704773},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3948192298412323},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21770861744880676},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1088/1402-4896/ad7aaf","doi":"https://doi.org/10.1088/1402-4896/ad7aaf","is_oa":false,"landing_page_url":"https://doi.org/10.1088/1402-4896/ad7aaf","pdf_url":null,"source":{"id":"https://openalex.org/S59012888","display_name":"Physica Scripta","issn_l":"0031-8949","issn":["0031-8949","1402-4896"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","ki-jl-1","norway-1","poland-40","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physica Scripta","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2407.12644","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2407.12644","pdf_url":"https://arxiv.org/pdf/2407.12644","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.2407.12644","doi":"https://doi.org/10.48550/arxiv.2407.12644","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2407.12644","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":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2407.12644","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2407.12644","pdf_url":"https://arxiv.org/pdf/2407.12644","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":[],"sustainable_development_goals_aurora":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.6100000143051147}],"study_designs":[],"awards":[{"id":"https://openalex.org/G5747430794","display_name":null,"funder_award_id":"2211/2023\u20102024","funder_id":"https://openalex.org/F4320318242","funder_display_name":"Univerzita Hradec Kr\u00e1lov\u00e9"}],"funders":[{"id":"https://openalex.org/F4320318242","display_name":"Univerzita Hradec Kr\u00e1lov\u00e9","ror":"https://ror.org/05k238v14"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4402503525.pdf","grobid_xml":"https://content.openalex.org/works/W4402503525.grobid-xml"},"referenced_works_count":70,"referenced_works":["https://openalex.org/W1529631529","https://openalex.org/W1972171154","https://openalex.org/W1976693877","https://openalex.org/W1978038479","https://openalex.org/W1978666909","https://openalex.org/W1981493303","https://openalex.org/W1984527441","https://openalex.org/W1986326565","https://openalex.org/W1992794927","https://openalex.org/W2008391540","https://openalex.org/W2012068539","https://openalex.org/W2017041022","https://openalex.org/W2034947870","https://openalex.org/W2037743990","https://openalex.org/W2037758801","https://openalex.org/W2039409290","https://openalex.org/W2052081183","https://openalex.org/W2056894502","https://openalex.org/W2060785998","https://openalex.org/W2068334806","https://openalex.org/W2069916723","https://openalex.org/W2070527009","https://openalex.org/W2075566220","https://openalex.org/W2086694377","https://openalex.org/W2088650904","https://openalex.org/W2090450718","https://openalex.org/W2105511893","https://openalex.org/W2126278847","https://openalex.org/W2203865086","https://openalex.org/W2485485215","https://openalex.org/W2521022979","https://openalex.org/W2887584041","https://openalex.org/W2903573084","https://openalex.org/W2907051057","https://openalex.org/W2963041959","https://openalex.org/W2977298923","https://openalex.org/W3012770983","https://openalex.org/W3086860641","https://openalex.org/W3171716333","https://openalex.org/W3198151212","https://openalex.org/W3201665667","https://openalex.org/W4221165261","https://openalex.org/W4225562504","https://openalex.org/W4281761925","https://openalex.org/W4285091068","https://openalex.org/W4309190731","https://openalex.org/W4309324285","https://openalex.org/W4313452314","https://openalex.org/W4319971643","https://openalex.org/W4321483325","https://openalex.org/W4323827989","https://openalex.org/W4365139620","https://openalex.org/W4367397061","https://openalex.org/W4376863167","https://openalex.org/W4376880136","https://openalex.org/W4377087019","https://openalex.org/W4385728089","https://openalex.org/W4386498355","https://openalex.org/W4388686803","https://openalex.org/W4391096556","https://openalex.org/W4391295095","https://openalex.org/W4391512692","https://openalex.org/W4391805156","https://openalex.org/W4392793801","https://openalex.org/W4393403289","https://openalex.org/W4394754290","https://openalex.org/W4396724541","https://openalex.org/W4398131222","https://openalex.org/W4400256995","https://openalex.org/W4402100688"],"related_works":["https://openalex.org/W4312538806","https://openalex.org/W2985450334","https://openalex.org/W2045276560","https://openalex.org/W2166771462","https://openalex.org/W111978976","https://openalex.org/W2494568668","https://openalex.org/W4205361965","https://openalex.org/W1527804034","https://openalex.org/W1497853864","https://openalex.org/W2026532628"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"the":[2,7,14,27,31,35,39,42,48,52,58,62],"present":[3],"manuscript,":[4],"we":[5,25],"employ":[6],"Feynman":[8],"path":[9],"integral":[10],"method":[11],"to":[12],"derive":[13],"propagator":[15,28],"in":[16,38],"one-dimensional":[17],"Wigner-Dunkl":[18],"quantum":[19],"mechanics.":[20],"To":[21],"verify":[22],"our":[23],"findings":[24],"calculate":[26],"associated":[29],"with":[30],"free":[32],"particle":[33],"and":[34,51],"harmonic":[36],"oscillator":[37],"presence":[40],"of":[41,61],"Dunkl":[43],"derivative.":[44],"We":[45],"also":[46],"deduce":[47],"energy":[49],"spectra":[50],"corresponding":[53],"bound-state":[54],"wave":[55],"functions":[56],"from":[57],"spectral":[59],"decomposition":[60],"propagator.":[63]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":2}],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2024-09-14T00:00:00"}
