{"id":"https://openalex.org/W2363850146","doi":null,"title":"Determining the Solution of Harmonic Oscillator with Algebra Method","display_name":"Determining the Solution of Harmonic Oscillator with Algebra Method","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2363850146","mag":"2363850146"},"language":"en","primary_location":{"id":"mag:2363850146","doi":null,"is_oa":false,"landing_page_url":"http://en.cnki.com.cn/Article_en/CJFDTOTAL-JMDB200503004.htm","pdf_url":null,"source":{"id":"https://openalex.org/S2764952753","display_name":"Journal of Jiamusi University","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4324113794","host_organization_name":"Jiamusi University","host_organization_lineage":["https://openalex.org/P4324113794"],"host_organization_lineage_names":["Jiamusi University"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Journal of Jiamusi University","raw_type":null},"volume":null,"type":"article","indexed_in":[],"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/A5049876702","display_name":"MA Zhi-min","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I134052481","display_name":"Harbin Normal University","ror":"https://ror.org/0270y6950","country_code":"CN","type":"education","lineage":["https://openalex.org/I134052481"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"MA Zhi-min","raw_affiliation_strings":["Department of Physics, Hulan School, Harbin Normal University, Harbin 150500, China)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Hulan School, Harbin Normal University, Harbin 150500, China)","institution_ids":["https://openalex.org/I134052481"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5049876702"],"corresponding_institution_ids":["https://openalex.org/I134052481"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.27402944,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.8568999767303467,"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.8568999767303467,"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":0.03669999912381172,"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":0.0284000001847744,"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/harmonic-oscillator","display_name":"harmonic oscillator","score":0.9259999990463257},{"id":"https://openalex.org/keywords/algebraic-methods","display_name":"algebraic methods","score":0.7990000247955322},{"id":"https://openalex.org/keywords/commutation-relations","display_name":"commutation relations","score":0.8960000276565552},{"id":"https://openalex.org/keywords/eigenvalues","display_name":"eigenvalues","score":0.9190000295639038},{"id":"https://openalex.org/keywords/eigenfunctions","display_name":"eigenfunctions","score":0.9440000057220459},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"quantum mechanics","score":0.6809999942779541}],"concepts":[{"id":"https://openalex.org/C40934718","wikidata":"https://www.wikidata.org/wiki/Q190070","display_name":"Harmonic oscillator","level":2,"score":0.6458677649497986},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5178423523902893},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48702293634414673},{"id":"https://openalex.org/C147724859","wikidata":"https://www.wikidata.org/wiki/Q545228","display_name":"Anharmonicity","level":2,"score":0.4342019259929657},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.41686180233955383},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39035215973854065},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.27420008182525635},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2510872483253479},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2221691608428955}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2363850146","doi":null,"is_oa":false,"landing_page_url":"http://en.cnki.com.cn/Article_en/CJFDTOTAL-JMDB200503004.htm","pdf_url":null,"source":{"id":"https://openalex.org/S2764952753","display_name":"Journal of Jiamusi University","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4324113794","host_organization_name":"Jiamusi University","host_organization_lineage":["https://openalex.org/P4324113794"],"host_organization_lineage_names":["Jiamusi University"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Journal of Jiamusi University","raw_type":null}],"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/W2388099021","https://openalex.org/W2350921435","https://openalex.org/W4379656408","https://openalex.org/W2361933662","https://openalex.org/W2486759498","https://openalex.org/W2963487521","https://openalex.org/W2972429871","https://openalex.org/W3024940330","https://openalex.org/W2765160722","https://openalex.org/W4401909850"],"abstract_inverted_index":{"Through":[0],"algebra":[1],"method":[2],"and":[3,8],"communication":[4],"relation,":[5],"the":[6],"eigenvalue":[7],"eignfunction":[9],"of":[10],"harmonic":[11],"oscillators":[12],"is":[13],"obtained":[14],"rigorously.":[15]},"counts_by_year":[],"updated_date":"2025-10-10T17:16:08.811792","created_date":"2016-06-24T00:00:00"}
