{"id":"https://openalex.org/W1963836601","doi":"https://doi.org/10.1002/qua.20108","title":"Exact solutions for the position\u2010dependent effective mass Schr\u00f6dinger equation using the analogy with a PT\u2010symmetric invariant anharmonic potential","display_name":"Exact solutions for the position\u2010dependent effective mass Schr\u00f6dinger equation using the analogy with a PT\u2010symmetric invariant anharmonic potential","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W1963836601","doi":"https://doi.org/10.1002/qua.20108","mag":"1963836601"},"language":"en","primary_location":{"id":"doi:10.1002/qua.20108","doi":"https://doi.org/10.1002/qua.20108","is_oa":false,"landing_page_url":"https://doi.org/10.1002/qua.20108","pdf_url":null,"source":{"id":"https://openalex.org/S167203149","display_name":"International Journal of Quantum Chemistry","issn_l":"0020-7608","issn":["0020-7608","1097-461X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Quantum Chemistry","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5027129697","display_name":"S. K. Moayedi","orcid":"https://orcid.org/0000-0003-4563-2290","observed_orcids":["https://orcid.org/0000-0003-4563-2290"]},"institutions":[{"id":"https://openalex.org/I35510649","display_name":"Arak University","ror":"https://ror.org/00ngrq502","country_code":"IR","type":"education","lineage":["https://openalex.org/I35510649"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"S. K. Moayedi","raw_affiliation_strings":["Department of Physics, Arak University, 38156-879 Arak, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Arak University, 38156-879 Arak, Iran","institution_ids":["https://openalex.org/I35510649"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023874770","display_name":"Mohammad Solimannejad","orcid":"https://orcid.org/0000-0003-0617-8689","observed_orcids":["https://orcid.org/0000-0003-0617-8689"]},"institutions":[{"id":"https://openalex.org/I35510649","display_name":"Arak University","ror":"https://ror.org/00ngrq502","country_code":"IR","type":"education","lineage":["https://openalex.org/I35510649"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"M. Solimannejad","raw_affiliation_strings":["Quantum Chemistry Group, Chemistry Department, Arak University, 38156-879 Arak, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Quantum Chemistry Group, Chemistry Department, Arak University, 38156-879 Arak, Iran","institution_ids":["https://openalex.org/I35510649"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108494926","display_name":"Abraham F. Jalbout","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I192396691","display_name":"LSU New Orleans","ror":"https://ror.org/034mtvk83","country_code":"US","type":"education","lineage":["https://openalex.org/I192396691"]},{"id":"https://openalex.org/I64880365","display_name":"Dillard University","ror":"https://ror.org/00bz6qm80","country_code":"US","type":"education","lineage":["https://openalex.org/I64880365"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Abraham F. Jalbout","raw_affiliation_strings":["Department of Chemistry, University of New Orleans, New Orleans, Louisiana 70148","Department of Physics, Dillard University, New Orleans, Louisiana 70112","EJMAPS Organization, 1107 Carrolton Ave., Metairie, Louisiana 70005"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Chemistry, University of New Orleans, New Orleans, Louisiana 70148","institution_ids":["https://openalex.org/I192396691"]},{"raw_affiliation_string":"Department of Physics, Dillard University, New Orleans, Louisiana 70112","institution_ids":["https://openalex.org/I64880365"]},{"raw_affiliation_string":"EJMAPS Organization, 1107 Carrolton Ave., Metairie, Louisiana 70005","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5023874770"],"corresponding_institution_ids":["https://openalex.org/I35510649"],"apc_list":{"value":3720,"currency":"USD","value_usd":3720},"apc_paid":null,"fwci":0.3644,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.52643609,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"100","issue":"1","first_page":"16","last_page":"19"},"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":0.9916999936103821,"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":0.9916999936103821,"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":0.003000000026077032,"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":0.001500000013038516,"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/position-dependent-mass","display_name":"position-dependent mass","score":0.9919999837875366},{"id":"https://openalex.org/keywords/schrodinger-equation","display_name":"Schr\u00f6dinger equation","score":0.9900000095367432},{"id":"https://openalex.org/keywords/pt-symmetric-potentials","display_name":"PT-symmetric potentials","score":0.675000011920929},{"id":"https://openalex.org/keywords/anharmonic-potential","display_name":"anharmonic potential","score":0.9190000295639038},{"id":"https://openalex.org/keywords/exact-solutions","display_name":"exact solutions","score":0.921999990940094},{"id":"https://openalex.org/keywords/energy-spectrum","display_name":"energy spectrum","score":0.843999981880188},{"id":"https://openalex.org/keywords/wave-functions","display_name":"wave functions","score":0.4950000047683716},{"id":"https://openalex.org/keywords/one-dimensional-quantum-systems","display_name":"one-dimensional quantum systems","score":0.8140000104904175}],"concepts":[{"id":"https://openalex.org/C147724859","wikidata":"https://www.wikidata.org/wiki/Q545228","display_name":"Anharmonicity","level":2,"score":0.837131917476654},{"id":"https://openalex.org/C63036615","wikidata":"https://www.wikidata.org/wiki/Q165498","display_name":"Schr\u00f6dinger equation","level":2,"score":0.7089154124259949},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5965724587440491},{"id":"https://openalex.org/C179764930","wikidata":"https://www.wikidata.org/wiki/Q3509437","display_name":"Effective mass (spring\u2013mass system)","level":2,"score":0.5771721005439758},{"id":"https://openalex.org/C113603373","wikidata":"https://www.wikidata.org/wiki/Q2362761","display_name":"Wave function","level":2,"score":0.5516079068183899},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5497888326644897},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.540955126285553},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5261639952659607},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.4539991021156311},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.4364076256752014},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37147390842437744},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2904062867164612},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/qua.20108","doi":"https://doi.org/10.1002/qua.20108","is_oa":false,"landing_page_url":"https://doi.org/10.1002/qua.20108","pdf_url":null,"source":{"id":"https://openalex.org/S167203149","display_name":"International Journal of Quantum Chemistry","issn_l":"0020-7608","issn":["0020-7608","1097-461X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Quantum Chemistry","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1636653173","https://openalex.org/W1993602550","https://openalex.org/W1995980992","https://openalex.org/W2006411470","https://openalex.org/W2014316463","https://openalex.org/W2019110181","https://openalex.org/W2020876220","https://openalex.org/W2045428291","https://openalex.org/W2067123857","https://openalex.org/W2071531522","https://openalex.org/W2102245148","https://openalex.org/W2159113852","https://openalex.org/W2593823705","https://openalex.org/W3121456129","https://openalex.org/W3166211705"],"related_works":["https://openalex.org/W1652782793","https://openalex.org/W2082196343","https://openalex.org/W7099959598","https://openalex.org/W1632361981","https://openalex.org/W7099245137","https://openalex.org/W1972340351","https://openalex.org/W2949410569","https://openalex.org/W2591872981","https://openalex.org/W2019767381","https://openalex.org/W1966302242"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"aim":[2],"of":[3,23,47,64],"the":[4,13,21,35,39,53],"present":[5],"study":[6],"is":[7],"to":[8],"obtain":[9],"exact":[10,48],"solutions":[11,49],"for":[12,52,60],"one\u2010dimensional":[14],"position\u2010dependent":[15,27],"effective":[16,28],"mass":[17,29],"Schr\u00f6dinger":[18,30,54],"equation.":[19,55],"After":[20],"change":[22],"wave":[24,72],"function":[25,70,73],"on":[26],"equation":[31,37],"and":[32,71],"comparison":[33],"between":[34],"resulted":[36],"with":[38],"PT\u2010symmetric":[40],"invariant":[41],"anharmonic":[42],"potential,":[43],"three":[44],"distinct":[45],"classes":[46],"are":[50,74],"obtained":[51,75],"As":[56],"an":[57],"illustrative":[58],"example":[59],"a":[61],"Gaussian":[62],"form":[63],"m(x),":[65],"energy":[66,69],"spectrum,":[67],"potential":[68],"explicitly.":[76],"\u00a9":[77],"2004":[78,86],"Wiley":[79],"Periodicals,":[80],"Inc.":[81],"Int":[82],"J":[83],"Quantum":[84],"Chem,":[85]},"counts_by_year":[],"updated_date":"2026-08-27T14:10:00.468798","created_date":"2016-06-24T00:00:00"}
