{"id":"https://openalex.org/W2054299494","doi":"https://doi.org/10.1119/1.1987522","title":"The Schr\u00f6dinger Equation in Orthogonal Curvilinear Coordinates","display_name":"The Schr\u00f6dinger Equation in Orthogonal Curvilinear Coordinates","publication_year":1973,"publication_date":"1973-10-01","ids":{"openalex":"https://openalex.org/W2054299494","doi":"https://doi.org/10.1119/1.1987522","mag":"2054299494"},"language":"en","primary_location":{"id":"doi:10.1119/1.1987522","doi":"https://doi.org/10.1119/1.1987522","is_oa":false,"landing_page_url":"https://doi.org/10.1119/1.1987522","pdf_url":null,"source":{"id":"https://openalex.org/S38866342","display_name":"American Journal of Physics","issn_l":"0002-9505","issn":["0002-9505","1943-2909"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-3"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"American Journal of Physics","raw_type":"journal-article"},"volume":null,"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/A5023332339","display_name":"Bernard M. Jaffe","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I71965598","display_name":"Adelphi University","ror":"https://ror.org/025n13r50","country_code":"US","type":"education","lineage":["https://openalex.org/I71965598"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Bernard M. Jaffe","raw_affiliation_strings":["Department of Physics, Adelphi University, Garden City, New York 11530"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Adelphi University, Garden City, New York 11530","institution_ids":["https://openalex.org/I71965598"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5023332339"],"corresponding_institution_ids":["https://openalex.org/I71965598"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.21404977,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"41","issue":"10","first_page":"1206","last_page":"1207"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.18960000574588776,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.18960000574588776,"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/T13806","display_name":"Mathematical and Computational Methods","score":0.13670000433921814,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T11191","display_name":"Mathematical functions and polynomials","score":0.1136000007390976,"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/schrodinger-equation","display_name":"Schr\u00f6dinger equation","score":1.0},{"id":"https://openalex.org/keywords/orthogonal-curvilinear-coordinates","display_name":"orthogonal curvilinear coordinates","score":0.9419999718666077},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"quantum mechanics","score":0.699999988079071},{"id":"https://openalex.org/keywords/coordinate-systems","display_name":"coordinate systems","score":0.5130000114440918},{"id":"https://openalex.org/keywords/wave-functions","display_name":"wave functions","score":0.4729999899864197}],"concepts":[{"id":"https://openalex.org/C98343798","wikidata":"https://www.wikidata.org/wiki/Q1790208","display_name":"Curvilinear coordinates","level":2,"score":0.9649899005889893},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.9043064117431641},{"id":"https://openalex.org/C27451561","wikidata":"https://www.wikidata.org/wiki/Q2588831","display_name":"Orthogonal coordinates","level":2,"score":0.7740522623062134},{"id":"https://openalex.org/C113504408","wikidata":"https://www.wikidata.org/wiki/Q2373660","display_name":"Parabolic coordinates","level":4,"score":0.7733004689216614},{"id":"https://openalex.org/C206647686","wikidata":"https://www.wikidata.org/wiki/Q2383591","display_name":"Bipolar coordinates","level":3,"score":0.636307418346405},{"id":"https://openalex.org/C129094480","wikidata":"https://www.wikidata.org/wiki/Q7249552","display_name":"Prolate spheroidal coordinates","level":3,"score":0.5074295401573181},{"id":"https://openalex.org/C31971599","wikidata":"https://www.wikidata.org/wiki/Q1000646","display_name":"Action-angle coordinates","level":3,"score":0.4652918577194214},{"id":"https://openalex.org/C126990412","wikidata":"https://www.wikidata.org/wiki/Q203218","display_name":"Spherical coordinate system","level":2,"score":0.4560454189777374},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.43798619508743286},{"id":"https://openalex.org/C80551277","wikidata":"https://www.wikidata.org/wiki/Q11210","display_name":"Coordinate system","level":2,"score":0.4225495457649231},{"id":"https://openalex.org/C63036615","wikidata":"https://www.wikidata.org/wiki/Q165498","display_name":"Schr\u00f6dinger equation","level":2,"score":0.4147574305534363},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.38644659519195557},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35682564973831177},{"id":"https://openalex.org/C136364276","wikidata":"https://www.wikidata.org/wiki/Q6666761","display_name":"Log-polar coordinates","level":3,"score":0.2862513065338135},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20291075110435486},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.15199509263038635},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1119/1.1987522","doi":"https://doi.org/10.1119/1.1987522","is_oa":false,"landing_page_url":"https://doi.org/10.1119/1.1987522","pdf_url":null,"source":{"id":"https://openalex.org/S38866342","display_name":"American Journal of Physics","issn_l":"0002-9505","issn":["0002-9505","1943-2909"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-3"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"American Journal of Physics","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":0,"referenced_works":[],"related_works":["https://openalex.org/W2185218295","https://openalex.org/W2083232969","https://openalex.org/W4255631387","https://openalex.org/W2003030301","https://openalex.org/W2969941411","https://openalex.org/W4248541769","https://openalex.org/W1609874888","https://openalex.org/W3174100153","https://openalex.org/W4250382269","https://openalex.org/W2318148884"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2016-06-24T00:00:00"}