{"id":"https://openalex.org/W3000683368","doi":"https://doi.org/10.1007/s11075-019-00853-0","title":"Computation of energy eigenvalues of the anharmonic Coulombic potential with irregular singularities","display_name":"Computation of energy eigenvalues of the anharmonic Coulombic potential with irregular singularities","publication_year":2020,"publication_date":"2020-01-07","ids":{"openalex":"https://openalex.org/W3000683368","doi":"https://doi.org/10.1007/s11075-019-00853-0","mag":"3000683368"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-019-00853-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-019-00853-0","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"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/A5112500498","display_name":"M. Essaouini","orcid":null},"institutions":[{"id":"https://openalex.org/I126477371","display_name":"Mohammed V University","ror":"https://ror.org/00r8w8f84","country_code":"MA","type":"education","lineage":["https://openalex.org/I126477371"]},{"id":"https://openalex.org/I4210125507","display_name":"Chouaib Doukkali University","ror":"https://ror.org/036kgyt43","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210125507"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"M. Essaouini","raw_affiliation_strings":["Department of Mathematics, Faculty of Sciences, Chouaib Doukkali University, El Jadida, Morocco","LabMIA-SI, Facult\u00e9 des Sciences, Universit\u00e9 Mohamed V, Rabat, Morocco"],"raw_orcid":"https://orcid.org/0000-0002-6413-0854","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Sciences, Chouaib Doukkali University, El Jadida, Morocco","institution_ids":["https://openalex.org/I4210125507"]},{"raw_affiliation_string":"LabMIA-SI, Facult\u00e9 des Sciences, Universit\u00e9 Mohamed V, Rabat, Morocco","institution_ids":["https://openalex.org/I126477371"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086273527","display_name":"Bouchra Abouzaid","orcid":null},"institutions":[{"id":"https://openalex.org/I126477371","display_name":"Mohammed V University","ror":"https://ror.org/00r8w8f84","country_code":"MA","type":"education","lineage":["https://openalex.org/I126477371"]},{"id":"https://openalex.org/I4210113095","display_name":"\u00c9cole Marocaine des Sciences de l'Ing\u00e9nieur","ror":"https://ror.org/01d1pbg09","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210113095"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"B. Abouzaid","raw_affiliation_strings":["LabMIA-SI, Facult\u00e9 des Sciences, Universit\u00e9 Mohamed V, Rabat, Morocco","\u00c9cole Nationale des Sciences Appliqu\u00e9es, Laboratoire des Sciences de L\u2019ing\u00e9nieur pour L\u2019\u00e9nergie, 24002, El Jadida, Morocco","\u00c9cole Nationale des Sciences Appliqu\u00e9es, Laboratoire des Sciences de L'ing\u00e9nieur pour L'\u00e9nergie, 24002, El Jadida, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LabMIA-SI, Facult\u00e9 des Sciences, Universit\u00e9 Mohamed V, Rabat, Morocco","institution_ids":["https://openalex.org/I126477371"]},{"raw_affiliation_string":"\u00c9cole Nationale des Sciences Appliqu\u00e9es, Laboratoire des Sciences de L\u2019ing\u00e9nieur pour L\u2019\u00e9nergie, 24002, El Jadida, Morocco","institution_ids":["https://openalex.org/I4210113095"]},{"raw_affiliation_string":"\u00c9cole Nationale des Sciences Appliqu\u00e9es, Laboratoire des Sciences de L'ing\u00e9nieur pour L'\u00e9nergie, 24002, El Jadida, Morocco","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001539671","display_name":"Philippe Gaudreau","orcid":"https://orcid.org/0000-0003-0724-3024"},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"P. Gaudreau","raw_affiliation_strings":["Campus Saint-Jean, University of Alberta, 8406 91 Street, Edmonton, AB, T6C 4G9, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Campus Saint-Jean, University of Alberta, 8406 91 Street, Edmonton, AB, T6C 4G9, Canada","institution_ids":["https://openalex.org/I154425047"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055032206","display_name":"Hassan Safouhi","orcid":"https://orcid.org/0000-0002-6413-0854"},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"H. Safouhi","raw_affiliation_strings":["Campus Saint-Jean, University of Alberta, 8406 91 Street, Edmonton, AB, T6C 4G9, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Campus Saint-Jean, University of Alberta, 8406 91 Street, Edmonton, AB, T6C 4G9, Canada","institution_ids":["https://openalex.org/I154425047"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5055032206"],"corresponding_institution_ids":["https://openalex.org/I154425047"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.2294,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.46685449,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"84","issue":"4","first_page":"1397","last_page":"1409"},"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":0.9998999834060669,"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":0.9998999834060669,"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/T10002","display_name":"Advanced Chemical Physics Studies","score":0.9952999949455261,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9929999709129333,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7723994255065918},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6978428363800049},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6839779615402222},{"id":"https://openalex.org/keywords/anharmonicity","display_name":"Anharmonicity","score":0.6782664060592651},{"id":"https://openalex.org/keywords/gravitational-singularity","display_name":"Gravitational singularity","score":0.6258182525634766},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5843828320503235},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.572656512260437},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4727671444416046},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4638303518295288},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4131668210029602},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3333463668823242},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.189937025308609},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17803558707237244},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09081923961639404}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7723994255065918},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6978428363800049},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6839779615402222},{"id":"https://openalex.org/C147724859","wikidata":"https://www.wikidata.org/wiki/Q545228","display_name":"Anharmonicity","level":2,"score":0.6782664060592651},{"id":"https://openalex.org/C12843","wikidata":"https://www.wikidata.org/wiki/Q201721","display_name":"Gravitational singularity","level":2,"score":0.6258182525634766},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5843828320503235},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.572656512260437},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4727671444416046},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4638303518295288},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4131668210029602},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3333463668823242},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.189937025308609},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17803558707237244},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09081923961639404},{"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},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-019-00853-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-019-00853-0","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.9100000262260437}],"awards":[{"id":"https://openalex.org/G6481589992","display_name":"Analytical and Numerical Methods For Slowly Convergent Integrals and Applications","funder_award_id":"rgpin-2016-04317","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"}],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1234625265","https://openalex.org/W1480928214","https://openalex.org/W1497442998","https://openalex.org/W1599882480","https://openalex.org/W1657347807","https://openalex.org/W1965392373","https://openalex.org/W1968975181","https://openalex.org/W1971862770","https://openalex.org/W1974319921","https://openalex.org/W1980327940","https://openalex.org/W1988929581","https://openalex.org/W1993094338","https://openalex.org/W1995480568","https://openalex.org/W2014829968","https://openalex.org/W2022516446","https://openalex.org/W2027433796","https://openalex.org/W2034184239","https://openalex.org/W2034369159","https://openalex.org/W2037658465","https://openalex.org/W2053200628","https://openalex.org/W2066482719","https://openalex.org/W2079607092","https://openalex.org/W2084423306","https://openalex.org/W2085291969","https://openalex.org/W2085351451","https://openalex.org/W2086672966","https://openalex.org/W2118708819","https://openalex.org/W2164303894","https://openalex.org/W2165693128","https://openalex.org/W2183650883","https://openalex.org/W2763926494","https://openalex.org/W2962976943","https://openalex.org/W2964038957","https://openalex.org/W2995391533","https://openalex.org/W3100324689","https://openalex.org/W4211108802","https://openalex.org/W4229666556","https://openalex.org/W4231682458"],"related_works":["https://openalex.org/W2963075460","https://openalex.org/W2510396871","https://openalex.org/W2161357890","https://openalex.org/W2610572818","https://openalex.org/W4389355097","https://openalex.org/W4224874860","https://openalex.org/W2032446402","https://openalex.org/W2039023896","https://openalex.org/W2154812892","https://openalex.org/W2028790718"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}
