{"id":"https://openalex.org/W4415310256","doi":"https://doi.org/10.47176/ijpr.25.2.22029","title":"Complex Isospectral Deformations of Conventional Shape-Invariant Superpotentials","display_name":"Complex Isospectral Deformations of Conventional Shape-Invariant Superpotentials","publication_year":2025,"publication_date":"2025-09-01","ids":{"openalex":"https://openalex.org/W4415310256","doi":"https://doi.org/10.47176/ijpr.25.2.22029"},"language":"en","primary_location":{"id":"doi:10.47176/ijpr.25.2.22029","doi":"https://doi.org/10.47176/ijpr.25.2.22029","is_oa":true,"landing_page_url":"https://doi.org/10.47176/ijpr.25.2.22029","pdf_url":"https://ijpr.iut.ac.ir/article_3681_3c31635a42cda447b825675dc1f1a51f.pdf","source":{"id":"https://openalex.org/S69315184","display_name":"Iranian Journal of Physics Research","issn_l":"1682-6957","issn":["1682-6957","2345-3664"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["norway-1","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/P4310319021","host_organization_name":"Isfahan University of Technology","host_organization_lineage":["https://openalex.org/P4310319021"],"host_organization_lineage_names":["Isfahan University of Technology"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Iranian Journal of Physics Research","raw_type":"journal-article"},"parent_works":[],"lineage":["https://openalex.org/W4415310256"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://ijpr.iut.ac.ir/article_3681_3c31635a42cda447b825675dc1f1a51f.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065714721","display_name":"Taha Koohrokhi","orcid":"https://orcid.org/0000-0003-0517-4432","observed_orcids":["https://orcid.org/0000-0003-0517-4432"]},"institutions":[{"id":"https://openalex.org/I198873322","display_name":"Golestan University","ror":"https://ror.org/046nf9z89","country_code":"IR","type":"education","lineage":["https://openalex.org/I198873322"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Taha Koohrokhi","raw_affiliation_strings":["Department of Physics, Faculty of Sciences, Golestan University, Gorgan, Iran"],"raw_orcid":"https://orcid.org/0000-0003-0517-4432","affiliations":[{"raw_affiliation_string":"Department of Physics, Faculty of Sciences, Golestan University, Gorgan, Iran","institution_ids":["https://openalex.org/I198873322"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027043415","display_name":"Abdolmajid Izadpanah","orcid":"https://orcid.org/0000-0002-0582-1831","observed_orcids":["https://orcid.org/0000-0002-0582-1831"]},"institutions":[{"id":"https://openalex.org/I198873322","display_name":"Golestan University","ror":"https://ror.org/046nf9z89","country_code":"IR","type":"education","lineage":["https://openalex.org/I198873322"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Abdolmajid Izadpanah","raw_affiliation_strings":["Department of Physics, Faculty of Sciences, Golestan University, Gorgan, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Faculty of Sciences, Golestan University, Gorgan, Iran","institution_ids":["https://openalex.org/I198873322"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I198873322"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"25","issue":"2","first_page":null,"last_page":null},"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":0.9940999746322632,"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":0.9940999746322632,"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":0.002099999925121665,"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":0.0007999999797903001,"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/isospectral-deformations","display_name":"isospectral deformations","score":0.9319999814033508},{"id":"https://openalex.org/keywords/non-hermitian-hamiltonian","display_name":"non-Hermitian Hamiltonian","score":0.9750000238418579},{"id":"https://openalex.org/keywords/schrodinger-equation","display_name":"Schr\u00f6dinger equation","score":0.8119999766349792},{"id":"https://openalex.org/keywords/analytical-solution","display_name":"analytical solution","score":0.8069999814033508},{"id":"https://openalex.org/keywords/nonrelativistic-quantum-mechanics","display_name":"non-relativistic quantum mechanics","score":0.6940000057220459}],"concepts":[{"id":"https://openalex.org/C2779710842","wikidata":"https://www.wikidata.org/wiki/Q6086323","display_name":"Isospectral","level":2,"score":0.9900000095367432},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6852999925613403},{"id":"https://openalex.org/C168948012","wikidata":"https://www.wikidata.org/wiki/Q3978010","display_name":"Superpotential","level":3,"score":0.5878999829292297},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5164999961853027},{"id":"https://openalex.org/C177414767","wikidata":"https://www.wikidata.org/wiki/Q587607","display_name":"Supersymmetric quantum mechanics","level":4,"score":0.5052000284194946},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4440000057220459},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.39250001311302185},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3864000141620636},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.35749998688697815},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3391000032424927},{"id":"https://openalex.org/C2983197053","wikidata":"https://www.wikidata.org/wiki/Q654182","display_name":"Energy spectrum","level":2,"score":0.3176000118255615},{"id":"https://openalex.org/C89611455","wikidata":"https://www.wikidata.org/wiki/Q6804646","display_name":"Mechanism (biology)","level":2,"score":0.3158000111579895},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.3066999912261963},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.29190000891685486},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.28119999170303345},{"id":"https://openalex.org/C116674579","wikidata":"https://www.wikidata.org/wiki/Q193442","display_name":"Supersymmetry","level":2,"score":0.27250000834465027},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.25369998812675476}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.47176/ijpr.25.2.22029","doi":"https://doi.org/10.47176/ijpr.25.2.22029","is_oa":true,"landing_page_url":"https://doi.org/10.47176/ijpr.25.2.22029","pdf_url":"https://ijpr.iut.ac.ir/article_3681_3c31635a42cda447b825675dc1f1a51f.pdf","source":{"id":"https://openalex.org/S69315184","display_name":"Iranian Journal of Physics Research","issn_l":"1682-6957","issn":["1682-6957","2345-3664"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["norway-1","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/P4310319021","host_organization_name":"Isfahan University of Technology","host_organization_lineage":["https://openalex.org/P4310319021"],"host_organization_lineage_names":["Isfahan University of Technology"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Iranian Journal of Physics Research","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.47176/ijpr.25.2.22029","doi":"https://doi.org/10.47176/ijpr.25.2.22029","is_oa":true,"landing_page_url":"https://doi.org/10.47176/ijpr.25.2.22029","pdf_url":"https://ijpr.iut.ac.ir/article_3681_3c31635a42cda447b825675dc1f1a51f.pdf","source":{"id":"https://openalex.org/S69315184","display_name":"Iranian Journal of Physics Research","issn_l":"1682-6957","issn":["1682-6957","2345-3664"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["norway-1","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/P4310319021","host_organization_name":"Isfahan University of Technology","host_organization_lineage":["https://openalex.org/P4310319021"],"host_organization_lineage_names":["Isfahan University of Technology"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Iranian Journal of Physics Research","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4415310256.pdf","grobid_xml":"https://content.openalex.org/works/W4415310256.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2066877450","https://openalex.org/W1583422620","https://openalex.org/W2971798984","https://openalex.org/W2100134007","https://openalex.org/W1845976319","https://openalex.org/W6940912764","https://openalex.org/W3102738579","https://openalex.org/W3102501452","https://openalex.org/W1916158085","https://openalex.org/W3204265602"],"abstract_inverted_index":{"All":[0],"additive":[1],"shape-invariant":[2],"superpotentials":[3,74],"in":[4,56],"nonrelativistic":[5],"quantum":[6,57],"mechanics":[7,58],"can":[8],"be":[9],"classified":[10],"into":[11],"two":[12],"categories:":[13],"those":[14,23],"that":[15,24,42],"do":[16],"not":[17],"explicitly":[18],"depend":[19],"on":[20],"\u210f":[21],"and":[22,62,88],"do.":[25],"The":[26,79],"latter":[27],"category,":[28],"known":[29],"as":[30],"the":[31,43,76],"conventional":[32],"superpotentials,":[33],"forms":[34],"a":[35,69],"complete":[36],"family.":[37],"It":[38],"has":[39],"been":[40],"demonstrated":[41],"Schr\u00f6dinger":[44],"equation":[45],"admits":[46],"exact":[47],"analytical":[48],"solutions":[49],"for":[50,71],"this":[51,61],"family,":[52],"highlighting":[53],"their":[54,92],"significance":[55],"due":[59],"to":[60,75],"other":[63],"intriguing":[64],"properties.":[65],"This":[66],"paper":[67],"presents":[68],"mechanism":[70],"generalizing":[72],"these":[73],"complex":[77,81],"domain.":[78],"resulting":[80],"non-Hermitian":[82],"Hamiltonians":[83],"possess":[84],"real":[85,93],"energy":[86],"eigenvalues":[87],"are":[89],"isospectral":[90],"with":[91],"counterparts..":[94]},"counts_by_year":[],"updated_date":"2026-11-14T11:04:58.165337","created_date":"2025-10-18T00:00:00"}