{"id":"https://openalex.org/W4404248563","doi":"https://doi.org/10.3390/sym16111508","title":"Supersymmetric Quesne-Dunkl Quantum Mechanics on Radial Lines","display_name":"Supersymmetric Quesne-Dunkl Quantum Mechanics on Radial Lines","publication_year":2024,"publication_date":"2024-11-10","ids":{"openalex":"https://openalex.org/W4404248563","doi":"https://doi.org/10.3390/sym16111508"},"language":"en","primary_location":{"id":"doi:10.3390/sym16111508","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym16111508","pdf_url":"https://www.mdpi.com/2073-8994/16/11/1508/pdf?version=1731313955","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/16/11/1508/pdf?version=1731313955","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061439347","display_name":"Fethi Bouzeffour","orcid":"https://orcid.org/0000-0002-2743-2036"},"institutions":[{"id":"https://openalex.org/I28022161","display_name":"King Saud University","ror":"https://ror.org/02f81g417","country_code":"SA","type":"education","lineage":["https://openalex.org/I28022161"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Fethi Bouzeffour","raw_affiliation_strings":["Department of Mathematics, College of Sciences, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0002-2743-2036","affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Sciences, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia","institution_ids":["https://openalex.org/I28022161"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5061439347"],"corresponding_institution_ids":["https://openalex.org/I28022161"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.2021,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.78892438,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"16","issue":"11","first_page":"1508","last_page":"1508"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.9988999962806702,"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/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.9988999962806702,"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/T11575","display_name":"Nonlinear Photonic Systems","score":0.9954000115394592,"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/T10988","display_name":"Advanced Fiber Laser Technologies","score":0.9915000200271606,"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/harmonic-oscillator","display_name":"Harmonic oscillator","score":0.6410236954689026},{"id":"https://openalex.org/keywords/supersymmetric-quantum-mechanics","display_name":"Supersymmetric quantum mechanics","score":0.6337624788284302},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5729061961174011},{"id":"https://openalex.org/keywords/hermite-polynomials","display_name":"Hermite polynomials","score":0.5716381669044495},{"id":"https://openalex.org/keywords/creation-and-annihilation-operators","display_name":"Creation and annihilation operators","score":0.5516504049301147},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4993162155151367},{"id":"https://openalex.org/keywords/quantum-harmonic-oscillator","display_name":"Quantum harmonic oscillator","score":0.4814452528953552},{"id":"https://openalex.org/keywords/theoretical-physics","display_name":"Theoretical physics","score":0.47729456424713135},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.45294660329818726},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4402497410774231},{"id":"https://openalex.org/keywords/algebraic-structure","display_name":"Algebraic structure","score":0.4349011778831482},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.431686669588089},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4316672682762146},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3965740203857422},{"id":"https://openalex.org/keywords/quantum-statistical-mechanics","display_name":"Quantum statistical mechanics","score":0.3014054298400879},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2879979610443115},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10083281993865967}],"concepts":[{"id":"https://openalex.org/C40934718","wikidata":"https://www.wikidata.org/wiki/Q190070","display_name":"Harmonic oscillator","level":2,"score":0.6410236954689026},{"id":"https://openalex.org/C177414767","wikidata":"https://www.wikidata.org/wiki/Q587607","display_name":"Supersymmetric quantum mechanics","level":4,"score":0.6337624788284302},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5729061961174011},{"id":"https://openalex.org/C201362023","wikidata":"https://www.wikidata.org/wiki/Q658574","display_name":"Hermite polynomials","level":2,"score":0.5716381669044495},{"id":"https://openalex.org/C63630878","wikidata":"https://www.wikidata.org/wiki/Q902336","display_name":"Creation and annihilation operators","level":3,"score":0.5516504049301147},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4993162155151367},{"id":"https://openalex.org/C122332657","wikidata":"https://www.wikidata.org/wiki/Q677864","display_name":"Quantum harmonic oscillator","level":3,"score":0.4814452528953552},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.47729456424713135},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.45294660329818726},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4402497410774231},{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.4349011778831482},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.431686669588089},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4316672682762146},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3965740203857422},{"id":"https://openalex.org/C34829970","wikidata":"https://www.wikidata.org/wiki/Q845260","display_name":"Quantum statistical mechanics","level":3,"score":0.3014054298400879},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2879979610443115},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10083281993865967},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/sym16111508","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym16111508","pdf_url":"https://www.mdpi.com/2073-8994/16/11/1508/pdf?version=1731313955","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:712ffe1c1fe1490a993f41e7d5bb3716","is_oa":false,"landing_page_url":"https://doaj.org/article/712ffe1c1fe1490a993f41e7d5bb3716","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 16, Iss 11, p 1508 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/sym16111508","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym16111508","pdf_url":"https://www.mdpi.com/2073-8994/16/11/1508/pdf?version=1731313955","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4404248563.pdf"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1244770280","https://openalex.org/W1976693877","https://openalex.org/W1980039675","https://openalex.org/W1980275976","https://openalex.org/W1984527441","https://openalex.org/W2037743990","https://openalex.org/W2052081183","https://openalex.org/W2088650904","https://openalex.org/W2092124394","https://openalex.org/W2122105378","https://openalex.org/W2130010995","https://openalex.org/W2224594407","https://openalex.org/W3102522701","https://openalex.org/W3103108540","https://openalex.org/W3137929640","https://openalex.org/W4402129053"],"related_works":["https://openalex.org/W2022188052","https://openalex.org/W4312306236","https://openalex.org/W4388950748","https://openalex.org/W1591078739","https://openalex.org/W2125656433","https://openalex.org/W4387319721","https://openalex.org/W4236895093","https://openalex.org/W2521072826","https://openalex.org/W2950293560","https://openalex.org/W1996075365"],"abstract_inverted_index":{"Quantum":[0],"deformations":[1],"offer":[2,92],"valuable":[3],"perspectives":[4,94],"into":[5,24],"quantum":[6,40,43,107,116],"mechanics,":[7],"particularly":[8],"by":[9],"advancing":[10],"our":[11],"understanding":[12,80],"of":[13,55,81],"symmetry":[14],"and":[15,34,48,51,101,106],"algebraic":[16,32,99],"structures.The":[17],"Dunkl":[18,22,60,70,97],"oscillator,":[19,71],"which":[20],"integrates":[21],"operators":[23],"the":[25,30,53,69,79,96,111],"harmonic":[26],"oscillator":[27],"framework,":[28],"advances":[29],"system\u2019s":[31],"properties":[33],"opens":[35],"new":[36,66,93],"approaches":[37],"for":[38,113],"exploring":[39],"phenomena.":[41],"Supersymmetric":[42],"mechanics":[44],"(SSQM)":[45],"unifies":[46],"bosonic":[47],"fermionic":[49],"aspects":[50],"facilitates":[52],"construction":[54],"solvable":[56,115],"models":[57],"using":[58],"generalized":[59],"operators.":[61],"This":[62],"paper":[63],"introduces":[64],"a":[65,73],"approach":[67],"to":[68,77,84,104],"employing":[72],"complex":[74],"reflection":[75],"operator":[76],"deepen":[78],"its":[82,102],"connection":[83],"Hermite":[85],"polynomials":[86],"on":[87,95],"radial":[88],"lines.":[89],"The":[90],"results":[91],"oscillator\u2019s":[98],"structure":[100],"relevance":[103],"SSQM":[105],"deformation":[108],"theory,":[109],"expanding":[110],"potential":[112],"discovering":[114],"models.":[117]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}