{"id":"https://openalex.org/W4366990134","doi":"https://doi.org/10.26434/chemrxiv-2022-xn4t8-v9","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":"2023-04-24","ids":{"openalex":"https://openalex.org/W4366990134","doi":"https://doi.org/10.26434/chemrxiv-2022-xn4t8-v9"},"language":"en","primary_location":{"id":"doi:10.26434/chemrxiv-2022-xn4t8-v9","doi":"https://doi.org/10.26434/chemrxiv-2022-xn4t8-v9","is_oa":true,"landing_page_url":"https://doi.org/10.26434/chemrxiv-2022-xn4t8-v9","pdf_url":"https://chemrxiv.org/engage/api-gateway/chemrxiv/assets/orp/resource/item/6446a8b483fa35f8f62ee9f0/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/6446a8b483fa35f8f62ee9f0/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":0,"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":0.9872999787330627,"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":0.9872999787330627,"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/T11960","display_name":"Relativity and Gravitational Theory","score":0.0026000000070780516,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T11683","display_name":"Quantum and Classical Electrodynamics","score":0.0010000000474974513,"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/particle-in-a-box","display_name":"particle in a box","score":0.8040000200271606},{"id":"https://openalex.org/keywords/energy-density-distribution","display_name":"energy density distribution","score":0.8450000286102295},{"id":"https://openalex.org/keywords/first-law-of-thermodynamics","display_name":"first law of thermodynamics","score":0.921999990940094},{"id":"https://openalex.org/keywords/harmonic-oscillator","display_name":"harmonic oscillator","score":0.9070000052452087},{"id":"https://openalex.org/keywords/energy-conservation-physics","display_name":"energy conservation (physics)","score":0.7129999995231628}],"concepts":[{"id":"https://openalex.org/C197806323","wikidata":"https://www.wikidata.org/wiki/Q909221","display_name":"Particle in a box","level":3,"score":0.619247555732727},{"id":"https://openalex.org/C113603373","wikidata":"https://www.wikidata.org/wiki/Q2362761","display_name":"Wave function","level":2,"score":0.5811039209365845},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5480435490608215},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.511457085609436},{"id":"https://openalex.org/C190047474","wikidata":"https://www.wikidata.org/wiki/Q842189","display_name":"Wave function collapse","level":5,"score":0.509037435054779},{"id":"https://openalex.org/C146846114","wikidata":"https://www.wikidata.org/wiki/Q901448","display_name":"Einstein","level":2,"score":0.470462441444397},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.46901649236679077},{"id":"https://openalex.org/C40934718","wikidata":"https://www.wikidata.org/wiki/Q190070","display_name":"Harmonic oscillator","level":2,"score":0.4648994505405426},{"id":"https://openalex.org/C52957995","wikidata":"https://www.wikidata.org/wiki/Q11382","display_name":"Conservation of energy","level":2,"score":0.45836031436920166},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4505798816680908},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.44808852672576904},{"id":"https://openalex.org/C186603090","wikidata":"https://www.wikidata.org/wiki/Q55505926","display_name":"Distribution function","level":2,"score":0.43120288848876953},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.3952953517436981},{"id":"https://openalex.org/C11255438","wikidata":"https://www.wikidata.org/wiki/Q7269085","display_name":"Quantum process","level":4,"score":0.3889872133731842},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.33874738216400146},{"id":"https://openalex.org/C15184713","wikidata":"https://www.wikidata.org/wiki/Q7269042","display_name":"Quantum dynamics","level":3,"score":0.28738701343536377},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25819718837738037},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.26434/chemrxiv-2022-xn4t8-v9","doi":"https://doi.org/10.26434/chemrxiv-2022-xn4t8-v9","is_oa":true,"landing_page_url":"https://doi.org/10.26434/chemrxiv-2022-xn4t8-v9","pdf_url":"https://chemrxiv.org/engage/api-gateway/chemrxiv/assets/orp/resource/item/6446a8b483fa35f8f62ee9f0/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-v9","doi":"https://doi.org/10.26434/chemrxiv-2022-xn4t8-v9","is_oa":true,"landing_page_url":"https://doi.org/10.26434/chemrxiv-2022-xn4t8-v9","pdf_url":"https://chemrxiv.org/engage/api-gateway/chemrxiv/assets/orp/resource/item/6446a8b483fa35f8f62ee9f0/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/W4366990134.pdf","grobid_xml":"https://content.openalex.org/works/W4366990134.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W561716561","https://openalex.org/W1941545607"],"related_works":["https://openalex.org/W4225494019","https://openalex.org/W4392058389","https://openalex.org/W1991643671","https://openalex.org/W4386890963","https://openalex.org/W2754847566","https://openalex.org/W629454938","https://openalex.org/W4411575656","https://openalex.org/W2784108303","https://openalex.org/W3000377288","https://openalex.org/W3198195451"],"abstract_inverted_index":{"It":[0,37],"is":[1,12,38,132],"an":[2,182],"unavoidable":[3],"question":[4],"raised":[5],"by":[6],"Albert":[7],"Einstein":[8],"if":[9],"quantum":[10,29,69,87,206],"theory":[11],"complete.":[13],"The":[14,149,174],"wavefunctions":[15,176],"of":[16,34,54,96,109,211],"elements":[17],"are":[18,89,103,158,186],"now":[19],"constructed":[20],"from":[21],"fitting":[22],"the":[23,51,77,93,99,106,110,118,130,135,145,170,178,196,209],"experimental":[24],"data":[25,52],"which":[26],"has":[27],"made":[28],"chemistry":[30],"a":[31,46,61,86,114,121,140,204],"black":[32],"box":[33,115],"mathematical":[35],"model.":[36],"our":[39,55],"best":[40],"interest":[41],"to":[42,49,57,92,105,134,203],"come":[43],"up":[44],"with":[45,139],"simpler":[47],"model":[48],"fit":[50],"regardless":[53],"wish":[56],"understand":[58],"reality":[59],"in":[60,85,113,160,199],"more":[62],"intuitive":[63],"and":[64,83,127,154,169,181,195,217],"accurate":[65],"way":[66],"than":[67,144],"classical":[68,107,146,166],"mechanics.":[70],"In":[71],"this":[72,190,200],"manuscript,":[73],"I":[74],"speculated":[75],"that":[76],"energy":[78,101,119,151,171,193,212],"density":[79,120,172],"distributions":[80],"along":[81],"space":[82,126],"time":[84,156],"system":[88],"uniform":[90],"according":[91],"1st":[94],"law":[95],"thermodynamics.":[97],"Thus,":[98],"complementary":[100],"contributions":[102],"added":[104],"solutions":[108],"1D":[111],"particle":[112],"problem,":[116],"making":[117],"complex":[122],"distribution":[123,152,194],"function":[124],"over":[125],"time.":[128],"Then":[129],"concept":[131],"extended":[133],"free":[136],"rotation":[137],"problem":[138],"Hamiltonian":[141],"slightly":[142],"different":[143],"Schr\u00f6dinger":[147],"equation.":[148],"picturized":[150],"functions":[153,168],"associated":[155],"evolution":[157],"described":[159],"movies":[161],"for":[162,177],"comparison":[163],"between":[164],"example":[165],"wave":[167],"functions.":[173],"radial":[175],"hydrogen":[179],"atom":[180],"ideal":[183],"harmonic":[184],"oscillator":[185],"then":[187],"derived.":[188],"Can":[189,208],"assumption":[191],"on":[192],"pre-mature":[197],"math":[198],"manuscript":[201],"lead":[202],"complete":[205],"theory?":[207],"idea":[210],"conservation":[213],"unify":[214],"special":[215],"relativity":[216],"quantum?":[218]},"counts_by_year":[],"updated_date":"2026-10-03T13:16:28.481748","created_date":"2023-04-27T00:00:00"}