{"id":"https://openalex.org/W1794738256","doi":"https://doi.org/10.3233/asy-131199","title":"Characterization of the orbit of standing waves of Hartree-type equations with external Coulomb potential","display_name":"Characterization of the orbit of standing waves of Hartree-type equations with external Coulomb potential","publication_year":2014,"publication_date":"2014-05-01","ids":{"openalex":"https://openalex.org/W1794738256","doi":"https://doi.org/10.3233/asy-131199","mag":"1794738256"},"language":"en","primary_location":{"id":"doi:10.3233/asy-131199","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-131199","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","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/A5022045403","display_name":"Hichem Hajaiej","orcid":"https://orcid.org/0000-0001-8845-7387"},"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":"H. Hajaiej","raw_affiliation_strings":["Department of Mathematics, King Saud University, Riyadh, Kingdom of Saudi Arabia. E-mail: hhajaiej@ksu.edu.sa"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, King Saud University, Riyadh, Kingdom of Saudi Arabia. E-mail: hhajaiej@ksu.edu.sa","institution_ids":["https://openalex.org/I28022161"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5022045403"],"corresponding_institution_ids":["https://openalex.org/I28022161"],"apc_list":null,"apc_paid":null,"fwci":0.448,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.56400976,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"87","issue":"1-2","first_page":"57","last_page":"64"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":1.0,"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":1.0,"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9825000166893005,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9465000033378601,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hartree","display_name":"Hartree","score":0.7921934127807617},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.647588849067688},{"id":"https://openalex.org/keywords/orbit","display_name":"Orbit (dynamics)","score":0.6003878712654114},{"id":"https://openalex.org/keywords/coulomb","display_name":"Coulomb","score":0.542005717754364},{"id":"https://openalex.org/keywords/schr\u00f6dinger-equation","display_name":"Schr\u00f6dinger equation","score":0.44351568818092346},{"id":"https://openalex.org/keywords/standing-wave","display_name":"Standing wave","score":0.43919315934181213},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.43429961800575256},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.412304162979126},{"id":"https://openalex.org/keywords/quantum-electrodynamics","display_name":"Quantum electrodynamics","score":0.4101509749889374},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.16777291893959045},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.12257978320121765},{"id":"https://openalex.org/keywords/electron","display_name":"Electron","score":0.04863068461418152}],"concepts":[{"id":"https://openalex.org/C145196801","wikidata":"https://www.wikidata.org/wiki/Q476572","display_name":"Hartree","level":2,"score":0.7921934127807617},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.647588849067688},{"id":"https://openalex.org/C196644772","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Orbit (dynamics)","level":2,"score":0.6003878712654114},{"id":"https://openalex.org/C9342510","wikidata":"https://www.wikidata.org/wiki/Q25406","display_name":"Coulomb","level":3,"score":0.542005717754364},{"id":"https://openalex.org/C63036615","wikidata":"https://www.wikidata.org/wiki/Q165498","display_name":"Schr\u00f6dinger equation","level":2,"score":0.44351568818092346},{"id":"https://openalex.org/C199956316","wikidata":"https://www.wikidata.org/wiki/Q123300","display_name":"Standing wave","level":2,"score":0.43919315934181213},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.43429961800575256},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.412304162979126},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.4101509749889374},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.16777291893959045},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.12257978320121765},{"id":"https://openalex.org/C147120987","wikidata":"https://www.wikidata.org/wiki/Q2225","display_name":"Electron","level":2,"score":0.04863068461418152},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/asy-131199","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-131199","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W32222873","https://openalex.org/W636566490","https://openalex.org/W2005105370","https://openalex.org/W2011970346","https://openalex.org/W2091416364","https://openalex.org/W2315124529"],"related_works":["https://openalex.org/W2053246118","https://openalex.org/W2234416345","https://openalex.org/W2008931657","https://openalex.org/W1971405701","https://openalex.org/W1595247525","https://openalex.org/W3099978324","https://openalex.org/W1991786975","https://openalex.org/W2724482786","https://openalex.org/W2034866531","https://openalex.org/W2245214771"],"abstract_inverted_index":{"We":[0],"prove":[1],"the":[2,8],"orbital":[3],"stability":[4],"and":[5],"then":[6],"characterize":[7],"orbit":[9],"of":[10,13,16],"standing":[11],"waves":[12],"Schr\u00f6dinger":[14],"equation":[15],"Hartree":[17],"type.":[18]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-30T06:05:26.967640","created_date":"2025-10-10T00:00:00"}
