{"id":"https://openalex.org/W4410045895","doi":"https://doi.org/10.31349/revmexfis.71.030701","title":"Relating the free particle with the harmonic oscillator","display_name":"Relating the free particle with the harmonic oscillator","publication_year":2025,"publication_date":"2025-05-01","ids":{"openalex":"https://openalex.org/W4410045895","doi":"https://doi.org/10.31349/revmexfis.71.030701"},"language":"en","primary_location":{"id":"doi:10.31349/revmexfis.71.030701","doi":"https://doi.org/10.31349/revmexfis.71.030701","is_oa":true,"landing_page_url":"https://doi.org/10.31349/revmexfis.71.030701","pdf_url":"https://rmf.smf.mx/ojs/index.php/rmf/article/download/7606/7085","source":{"id":"https://openalex.org/S198822434","display_name":"Revista Mexicana de F\u00edsica","issn_l":"0035-001X","issn":["0035-001X","2683-2224"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","latindex","norway-1","scielo"],"host_organization":"https://openalex.org/P4323253378","host_organization_name":"Mexican Society of Physics","host_organization_lineage":["https://openalex.org/P4323253378"],"host_organization_lineage_names":["Mexican Society of Physics"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Revista Mexicana de F\u00edsica","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://rmf.smf.mx/ojs/index.php/rmf/article/download/7606/7085","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050756680","display_name":"G. F. Torres del Castillo","orcid":"https://orcid.org/0000-0002-9262-0252","observed_orcids":["https://orcid.org/0000-0002-9262-0252"]},"institutions":[{"id":"https://openalex.org/I721619","display_name":"Benem\u00e9rita Universidad Aut\u00f3noma de Puebla","ror":"https://ror.org/03p2z7827","country_code":"MX","type":"education","lineage":["https://openalex.org/I721619"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Gerardo Francisco Torres del Castillo","raw_affiliation_strings":["Instituto de Ciencias, Benem\u00e9rita Universidad Aut\u00f3noma de Puebla"],"raw_orcid":"https://orcid.org/0000-0002-9262-0252","affiliations":[{"raw_affiliation_string":"Instituto de Ciencias, Benem\u00e9rita Universidad Aut\u00f3noma de Puebla","institution_ids":["https://openalex.org/I721619"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5050756680"],"corresponding_institution_ids":["https://openalex.org/I721619"],"apc_list":null,"apc_paid":null,"fwci":0.3852,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.48641273,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":96},"biblio":{"volume":"71","issue":"3 May-Jun","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.36550000309944153,"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":0.36550000309944153,"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/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.24120000004768372,"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":0.14110000431537628,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/free-particle","display_name":"free particle","score":0.996999979019165},{"id":"https://openalex.org/keywords/harmonic-oscillator","display_name":"harmonic oscillator","score":0.9850000143051147},{"id":"https://openalex.org/keywords/coordinate-transformation","display_name":"coordinate transformation","score":0.9610000252723694},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"classical mechanics","score":0.9330000281333923},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"quantum mechanics","score":0.8659999966621399}],"concepts":[{"id":"https://openalex.org/C182168820","wikidata":"https://www.wikidata.org/wiki/Q1454200","display_name":"Free particle","level":3,"score":0.5978454351425171},{"id":"https://openalex.org/C40934718","wikidata":"https://www.wikidata.org/wiki/Q190070","display_name":"Harmonic oscillator","level":2,"score":0.5358544588088989},{"id":"https://openalex.org/C2778517922","wikidata":"https://www.wikidata.org/wiki/Q7140482","display_name":"Particle (ecology)","level":2,"score":0.4708024263381958},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.42700162529945374},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.396016389131546},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2094210386276245},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.12025123834609985},{"id":"https://openalex.org/C111368507","wikidata":"https://www.wikidata.org/wiki/Q43518","display_name":"Oceanography","level":1,"score":0.04893028736114502},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.31349/revmexfis.71.030701","doi":"https://doi.org/10.31349/revmexfis.71.030701","is_oa":true,"landing_page_url":"https://doi.org/10.31349/revmexfis.71.030701","pdf_url":"https://rmf.smf.mx/ojs/index.php/rmf/article/download/7606/7085","source":{"id":"https://openalex.org/S198822434","display_name":"Revista Mexicana de F\u00edsica","issn_l":"0035-001X","issn":["0035-001X","2683-2224"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","latindex","norway-1","scielo"],"host_organization":"https://openalex.org/P4323253378","host_organization_name":"Mexican Society of Physics","host_organization_lineage":["https://openalex.org/P4323253378"],"host_organization_lineage_names":["Mexican Society of Physics"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Revista Mexicana de F\u00edsica","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.31349/revmexfis.71.030701","doi":"https://doi.org/10.31349/revmexfis.71.030701","is_oa":true,"landing_page_url":"https://doi.org/10.31349/revmexfis.71.030701","pdf_url":"https://rmf.smf.mx/ojs/index.php/rmf/article/download/7606/7085","source":{"id":"https://openalex.org/S198822434","display_name":"Revista Mexicana de F\u00edsica","issn_l":"0035-001X","issn":["0035-001X","2683-2224"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","latindex","norway-1","scielo"],"host_organization":"https://openalex.org/P4323253378","host_organization_name":"Mexican Society of Physics","host_organization_lineage":["https://openalex.org/P4323253378"],"host_organization_lineage_names":["Mexican Society of Physics"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Revista Mexicana de F\u00edsica","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4410045895.pdf","grobid_xml":"https://content.openalex.org/works/W4410045895.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W2890398202"],"related_works":["https://openalex.org/W4246238785","https://openalex.org/W2144842358","https://openalex.org/W2100634092","https://openalex.org/W2951537169","https://openalex.org/W1998635660","https://openalex.org/W1596666970","https://openalex.org/W2001227601","https://openalex.org/W2005284149","https://openalex.org/W3103397499","https://openalex.org/W2963984263"],"abstract_inverted_index":{"We":[0],"show":[1],"that":[2,24],"by":[3],"means":[4],"of":[5,16,25],"a":[6,17,26],"coordinate":[7],"transformation":[8],"in":[9,29,33],"the":[10,14],"extended":[11],"configuration":[12],"space":[13],"problem":[15],"free":[18],"particle":[19],"can":[20],"be":[21],"related":[22],"to":[23],"harmonic":[27],"oscillator":[28],"classical":[30],"mechanics":[31],"and":[32],"quantum":[34],"mechanics.":[35]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-08-25T07:29:55.448023","created_date":"2025-10-10T00:00:00"}