{"id":"https://openalex.org/W4380675136","doi":"https://doi.org/10.26434/chemrxiv-2022-xn4t8-v17","title":"From Particle-in-a-Box Thought Experiment to a Complete Quantum Theory?","display_name":"From Particle-in-a-Box Thought Experiment to a Complete Quantum Theory?","publication_year":2023,"publication_date":"2023-06-15","ids":{"openalex":"https://openalex.org/W4380675136","doi":"https://doi.org/10.26434/chemrxiv-2022-xn4t8-v17"},"language":"en","primary_location":{"id":"doi:10.26434/chemrxiv-2022-xn4t8-v17","doi":"https://doi.org/10.26434/chemrxiv-2022-xn4t8-v17","is_oa":true,"landing_page_url":"https://doi.org/10.26434/chemrxiv-2022-xn4t8-v17","pdf_url":"https://chemrxiv.org/engage/api-gateway/chemrxiv/assets/orp/resource/item/648a375bbe16ad5c57efa2f6/original/from-particle-in-a-box-thought-experiment-to-a-complete-quantum-theory.pdf","source":{"id":"https://openalex.org/S4393918830","display_name":"ChemRxiv","issn_l":"2573-2293","issn":["2573-2293"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},"volume":null,"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://chemrxiv.org/engage/api-gateway/chemrxiv/assets/orp/resource/item/648a375bbe16ad5c57efa2f6/original/from-particle-in-a-box-thought-experiment-to-a-complete-quantum-theory.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088937367","display_name":"Jixin Chen","orcid":"https://orcid.org/0000-0001-7381-0918","observed_orcids":["https://orcid.org/0000-0001-7381-0918","https://orcid.org/0000-0003-1763-8644"]},"institutions":[{"id":"https://openalex.org/I4210106879","display_name":"Ohio University","ror":"https://ror.org/01jr3y717","country_code":"US","type":"education","lineage":["https://openalex.org/I4210106879"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jixin Chen","raw_affiliation_strings":["Ohio University"],"raw_orcid":"https://orcid.org/0000-0001-7381-0918","affiliations":[{"raw_affiliation_string":"Ohio University","institution_ids":["https://openalex.org/I4210106879"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5088937367"],"corresponding_institution_ids":["https://openalex.org/I4210106879"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":null,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.6723999977111816,"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":0.6723999977111816,"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/T10002","display_name":"Advanced Chemical Physics Studies","score":0.15870000422000885,"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/T12044","display_name":"Advanced Physical and Chemical Molecular Interactions","score":0.04170000180602074,"subfield":{"id":"https://openalex.org/subfields/1606","display_name":"Physical and Theoretical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/particle-in-a-box","display_name":"particle in a box","score":0.8220000267028809},{"id":"https://openalex.org/keywords/energy-quantization","display_name":"energy quantization","score":0.7900000214576721},{"id":"https://openalex.org/keywords/energy-density-function","display_name":"energy density function","score":0.7570000290870667},{"id":"https://openalex.org/keywords/first-law-of-thermodynamics","display_name":"first law of thermodynamics","score":0.8370000123977661},{"id":"https://openalex.org/keywords/schrodinger-equation","display_name":"Schr\u00f6dinger equation","score":0.6899999976158142},{"id":"https://openalex.org/keywords/wave-function-normalization","display_name":"wave function normalization","score":0.5889999866485596},{"id":"https://openalex.org/keywords/computational-cost-reduction","display_name":"computational complexity reduction","score":0.6240000128746033},{"id":"https://openalex.org/keywords/harmonic-oscillator","display_name":"harmonic oscillator","score":0.9369999766349792},{"id":"https://openalex.org/keywords/momentum-conservation","display_name":"momentum conservation","score":0.8730000257492065},{"id":"https://openalex.org/keywords/quantum-chemistry","display_name":"quantum chemistry","score":0.3580000102519989}],"concepts":[{"id":"https://openalex.org/C113603373","wikidata":"https://www.wikidata.org/wiki/Q2362761","display_name":"Wave function","level":2,"score":0.7101503610610962},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.556594729423523},{"id":"https://openalex.org/C40934718","wikidata":"https://www.wikidata.org/wiki/Q190070","display_name":"Harmonic oscillator","level":2,"score":0.5334751009941101},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5209463834762573},{"id":"https://openalex.org/C63036615","wikidata":"https://www.wikidata.org/wiki/Q165498","display_name":"Schr\u00f6dinger equation","level":2,"score":0.4846358895301819},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.4732913374900818},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.47045910358428955},{"id":"https://openalex.org/C166124518","wikidata":"https://www.wikidata.org/wiki/Q1047702","display_name":"Renormalization","level":2,"score":0.4492805600166321},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4345182478427887},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.41002339124679565}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.26434/chemrxiv-2022-xn4t8-v17","doi":"https://doi.org/10.26434/chemrxiv-2022-xn4t8-v17","is_oa":true,"landing_page_url":"https://doi.org/10.26434/chemrxiv-2022-xn4t8-v17","pdf_url":"https://chemrxiv.org/engage/api-gateway/chemrxiv/assets/orp/resource/item/648a375bbe16ad5c57efa2f6/original/from-particle-in-a-box-thought-experiment-to-a-complete-quantum-theory.pdf","source":{"id":"https://openalex.org/S4393918830","display_name":"ChemRxiv","issn_l":"2573-2293","issn":["2573-2293"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"}],"best_oa_location":{"id":"doi:10.26434/chemrxiv-2022-xn4t8-v17","doi":"https://doi.org/10.26434/chemrxiv-2022-xn4t8-v17","is_oa":true,"landing_page_url":"https://doi.org/10.26434/chemrxiv-2022-xn4t8-v17","pdf_url":"https://chemrxiv.org/engage/api-gateway/chemrxiv/assets/orp/resource/item/648a375bbe16ad5c57efa2f6/original/from-particle-in-a-box-thought-experiment-to-a-complete-quantum-theory.pdf","source":{"id":"https://openalex.org/S4393918830","display_name":"ChemRxiv","issn_l":"2573-2293","issn":["2573-2293"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4380675136.pdf","grobid_xml":"https://content.openalex.org/works/W4380675136.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W561716561","https://openalex.org/W1552736770","https://openalex.org/W1986407511","https://openalex.org/W2026686751","https://openalex.org/W2045547010","https://openalex.org/W2088439145","https://openalex.org/W2089282662","https://openalex.org/W2149868438","https://openalex.org/W2499819148","https://openalex.org/W2591313944","https://openalex.org/W4231007542","https://openalex.org/W4247426417","https://openalex.org/W4306849678","https://openalex.org/W4380675136"],"related_works":["https://openalex.org/W4225494019","https://openalex.org/W2054697273","https://openalex.org/W6911708443","https://openalex.org/W2944823933","https://openalex.org/W2264447774","https://openalex.org/W2387911258","https://openalex.org/W4246016483","https://openalex.org/W4245514327","https://openalex.org/W4404700833","https://openalex.org/W4240485627"],"abstract_inverted_index":{"The":[0,31],"Schr\u00f6dinger":[1],"equation":[2,56,124,131],"provides":[3],"wavefunctions":[4,17,44],"that":[5,59,80,94],"describe":[6],"the":[7,40,62,73,100,107,113,116,121,135,146,152,160,180],"behavior":[8],"of":[9,34,64,76,115,155],"atoms,":[10],"molecules,":[11],"and":[12,98,104,119,166,186],"materials,":[13],"but":[14],"constructing":[15],"these":[16],"by":[18],"basis":[19],"sets":[20],"from":[21,39,134],"fitting":[22],"experimental":[23,184],"data":[24,185],"has":[25],"rendered":[26],"quantum":[27,70,157,192],"chemistry":[28,193],"predominantly":[29],"empirical.":[30],"computational":[32,188],"intensity":[33],"this":[35,52],"process":[36],"arises":[37],"partly":[38],"requirement":[41],"to":[42,47,68,182],"integrate":[43],"across":[45],"space":[46],"calculate":[48],"energy":[49,65,89,108,136,153],"levels.":[50],"In":[51],"manuscript,":[53],"a":[54,126],"novel":[55],"is":[57,92],"proposed":[58],"significantly":[60],"accelerates":[61],"computation":[63],"levels":[66,154],"compared":[67],"classical":[69,142,156],"mechanics.":[71],"Leveraging":[72],"first":[74],"law":[75],"thermodynamics,":[77],"which":[78],"dictates":[79],"an":[81,88],"equilibrium":[82],"system":[83],"maintains":[84],"its":[85],"total":[86],"energy,":[87],"density":[90],"function":[91],"derived":[93],"exhibits":[95],"spatial":[96],"uniformity":[97],"eliminates":[99],"need":[101],"for":[102],"normalization":[103],"renormalization.":[105],"Consequently,":[106],"calculation":[109],"no":[110],"longer":[111],"necessitates":[112],"integration":[114],"entire":[117],"wavefunction":[118],"transforms":[120],"second-order":[122],"differential":[123],"into":[125],"first-order":[127],"counterpart.":[128],"This":[129],"new":[130],"draws":[132],"inspiration":[133],"conservation":[137],"method":[138],"employed":[139],"in":[140,190],"solving":[141],"mechanics":[143],"problems":[144],"like":[145],"pendulum.":[147],"Remarkably,":[148],"it":[149,178],"successfully":[150],"quantizes":[151],"systems,":[158],"including":[159],"particle-in-a-box":[161],"thought":[162],"experiment,":[163],"harmonic":[164],"oscillator,":[165],"free":[167],"spin,":[168],"relying":[169],"on":[170],"simple":[171],"rules":[172],"such":[173],"as":[174],"momentum":[175],"conservation.":[176],"Therefore,":[177],"holds":[179],"potential":[181],"fit":[183],"reduce":[187],"costs":[189],"modern":[191],"calculations.":[194]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-09-24T07:57:37.273135","created_date":"2023-06-15T00:00:00"}
