{"id":"https://openalex.org/W7117964671","doi":"https://doi.org/10.1109/enc68268.2025.11311864","title":"Shannon and Fisher Entropies for the 2P and 3D States of the Hydrogen Atom Confined in a Penetrable Spherical Box","display_name":"Shannon and Fisher Entropies for the 2P and 3D States of the Hydrogen Atom Confined in a Penetrable Spherical Box","publication_year":2025,"publication_date":"2025-11-10","ids":{"openalex":"https://openalex.org/W7117964671","doi":"https://doi.org/10.1109/enc68268.2025.11311864"},"language":null,"primary_location":{"id":"doi:10.1109/enc68268.2025.11311864","is_oa":false,"landing_page_url":"https://doi.org/10.1109/enc68268.2025.11311864","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 Mexican International Conference on Computer Science (ENC)","raw_type":"proceedings-article"},"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/A5121794733","display_name":"Andrei Solorzano Perez","orcid":null},"institutions":[{"id":"https://openalex.org/I98461037","display_name":"Tecnol\u00f3gico de Monterrey","ror":"https://ror.org/03ayjn504","country_code":"MX","type":"education","lineage":["https://openalex.org/I98461037"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Andrei Sol\u00f3rzano P\u00e9rez","raw_affiliation_strings":["School of Engineering and Sciences, Tecnologico de Monterrey,Puebla,M&#x00E9;xico"],"affiliations":[{"raw_affiliation_string":"School of Engineering and Sciences, Tecnologico de Monterrey,Puebla,M&#x00E9;xico","institution_ids":["https://openalex.org/I98461037"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041886072","display_name":"Jos\u00e9 M. Nieto-Jalil","orcid":"https://orcid.org/0000-0001-9908-2621"},"institutions":[{"id":"https://openalex.org/I98461037","display_name":"Tecnol\u00f3gico de Monterrey","ror":"https://ror.org/03ayjn504","country_code":"MX","type":"education","lineage":["https://openalex.org/I98461037"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Jose Manuel Nieto-Jalil","raw_affiliation_strings":["School of Engineering and Sciences, Tecnologico de Monterrey,Puebla,M&#x00E9;xico"],"affiliations":[{"raw_affiliation_string":"School of Engineering and Sciences, Tecnologico de Monterrey,Puebla,M&#x00E9;xico","institution_ids":["https://openalex.org/I98461037"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5121794733"],"corresponding_institution_ids":["https://openalex.org/I98461037"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.72265773,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"4"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.29109999537467957,"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/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.29109999537467957,"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/T11965","display_name":"Quantum, superfluid, helium dynamics","score":0.14710000157356262,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.06790000200271606,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/wave-function","display_name":"Wave function","score":0.6930999755859375},{"id":"https://openalex.org/keywords/radius","display_name":"RADIUS","score":0.6126000285148621},{"id":"https://openalex.org/keywords/hydrogen-atom","display_name":"Hydrogen atom","score":0.5856999754905701},{"id":"https://openalex.org/keywords/spherical-mean","display_name":"Spherical mean","score":0.5108000040054321},{"id":"https://openalex.org/keywords/atom","display_name":"Atom (system on chip)","score":0.4952000081539154},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.41850000619888306},{"id":"https://openalex.org/keywords/spherical-coordinate-system","display_name":"Spherical coordinate system","score":0.38370001316070557},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.38199999928474426},{"id":"https://openalex.org/keywords/spherical-wave","display_name":"Spherical wave","score":0.3662000000476837}],"concepts":[{"id":"https://openalex.org/C113603373","wikidata":"https://www.wikidata.org/wiki/Q2362761","display_name":"Wave function","level":2,"score":0.6930999755859375},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6450999975204468},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.6126000285148621},{"id":"https://openalex.org/C2776640939","wikidata":"https://www.wikidata.org/wiki/Q6643508","display_name":"Hydrogen atom","level":3,"score":0.5856999754905701},{"id":"https://openalex.org/C137665795","wikidata":"https://www.wikidata.org/wiki/Q7576710","display_name":"Spherical mean","level":2,"score":0.5108000040054321},{"id":"https://openalex.org/C58312451","wikidata":"https://www.wikidata.org/wiki/Q4817200","display_name":"Atom (system on chip)","level":2,"score":0.4952000081539154},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.41850000619888306},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4000000059604645},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3977000117301941},{"id":"https://openalex.org/C126990412","wikidata":"https://www.wikidata.org/wiki/Q203218","display_name":"Spherical coordinate system","level":2,"score":0.38370001316070557},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.38199999928474426},{"id":"https://openalex.org/C2988484230","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Spherical wave","level":2,"score":0.3662000000476837},{"id":"https://openalex.org/C512968161","wikidata":"https://www.wikidata.org/wiki/Q556","display_name":"Hydrogen","level":2,"score":0.3587000072002411},{"id":"https://openalex.org/C184779094","wikidata":"https://www.wikidata.org/wiki/Q26383","display_name":"Atomic physics","level":1,"score":0.35010001063346863},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.3479999899864197},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.3370000123977661},{"id":"https://openalex.org/C120398109","wikidata":"https://www.wikidata.org/wiki/Q175751","display_name":"Quantum tunnelling","level":2,"score":0.30880001187324524},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.30880001187324524},{"id":"https://openalex.org/C197806323","wikidata":"https://www.wikidata.org/wiki/Q909221","display_name":"Particle in a box","level":3,"score":0.30559998750686646},{"id":"https://openalex.org/C3768446","wikidata":"https://www.wikidata.org/wiki/Q877100","display_name":"Spherical harmonics","level":2,"score":0.3025999963283539},{"id":"https://openalex.org/C2778084274","wikidata":"https://www.wikidata.org/wiki/Q7576711","display_name":"Spherical model","level":2,"score":0.29919999837875366},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.2989000082015991},{"id":"https://openalex.org/C199956316","wikidata":"https://www.wikidata.org/wiki/Q123300","display_name":"Standing wave","level":2,"score":0.296099990606308},{"id":"https://openalex.org/C41999313","wikidata":"https://www.wikidata.org/wiki/Q489328","display_name":"Molecular physics","level":1,"score":0.27250000834465027},{"id":"https://openalex.org/C20892832","wikidata":"https://www.wikidata.org/wiki/Q3271879","display_name":"Circular symmetry","level":2,"score":0.25949999690055847},{"id":"https://openalex.org/C108280814","wikidata":"https://www.wikidata.org/wiki/Q12137","display_name":"Spherical shell","level":3,"score":0.25540000200271606}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/enc68268.2025.11311864","is_oa":false,"landing_page_url":"https://doi.org/10.1109/enc68268.2025.11311864","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 Mexican International Conference on Computer Science (ENC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W2050925661","https://openalex.org/W2053565514","https://openalex.org/W2143629932","https://openalex.org/W2597939300","https://openalex.org/W2768061452","https://openalex.org/W2990961515","https://openalex.org/W3181280082","https://openalex.org/W3189812842","https://openalex.org/W4404415224"],"related_works":[],"abstract_inverted_index":{"A":[0,97],"straightforward":[1],"way":[2],"to":[3,149,170,173,242],"study":[4],"the":[5,21,27,32,53,71,84,116,119,136,161,165,174,177,185,189,192,197,243],"electronic":[6],"structure":[7],"and":[8,14,47,58,121,131,141,154,168,188],"certain":[9],"physical":[10,68,99],"properties":[11,69],"of":[12,34,65,70,144,176,184,191,225],"atoms":[13],"molecules":[15],"under":[16],"high":[17],"pressures":[18],"is":[19,29,51,215,221],"through":[20],"confinement":[22,151,167],"(caging)":[23],"model,":[24],"in":[25,88,110,125,223,233],"which":[26],"atom":[28,43,73,147],"placed":[30],"at":[31],"center":[33],"a":[35,103,145,182,202,211,216],"spherical":[36,49,90,104,156],"box":[37,105],"with":[38,106,240],"impenetrable":[39,48,155,244],"walls.":[40,108],"The":[41,67,219],"hydrogen":[42,72,146],"confined":[44,74],"inside":[45],"penetrable":[46,89,107,153,166,198],"cavities":[50,77,91],"perhaps":[52],"most":[54],"studied":[55],"compressed":[56],"system,":[57],"exact":[59],"solutions":[60],"exist":[61],"for":[62,135,164],"both":[63],"types":[64],"confinement.":[66],"within":[75],"impenetrable-wall":[76],"(AHCI)":[78],"have":[79],"been":[80],"widely":[81],"analyzed;":[82],"however,":[83],"same":[85],"system":[86],"embedded":[87],"(AHCP)":[92],"has":[93],"received":[94],"less":[95],"attention.":[96],"more":[98],"model":[100,196],"suggests":[101],"using":[102],"Therefore,":[109],"this":[111],"work,":[112],"we":[113,159,200,236],"compute":[114],"via":[115],"variational":[117],"method,":[118],"Shannon":[120],"Fisher":[122],"information":[123],"entropy":[124],"position":[126],"space,":[127],"<tex":[128,132,137],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[129,133,138],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$S_{r}$</tex>":[130],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$I_{r}$</tex>,":[134],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$2":[139],"\\mathbf{p}$</tex>":[140],"3d":[142],"states":[143],"subjected":[148],"spatial":[150],"by":[152],"cavities.":[157],"Additionally,":[158],"calculate":[160],"tunneling":[162],"probability":[163,179],"seek":[169],"relate":[171],"it":[172],"overlaps":[175],"radial":[178],"densities":[180],"as":[181],"function":[183],"cavity":[186],"radius":[187],"height":[190],"confining":[193],"barrier.":[194],"To":[195],"confinement,":[199],"employ":[201],"logistic":[203],"potential":[204],"which,":[205],"unlike":[206],"earlier":[207],"reports":[208],"that":[209,228],"used":[210],"discontinuous":[212],"step":[213],"potential,":[214],"continuous":[217],"function.":[218],"wavefunction":[220],"expanded":[222],"terms":[224],"Slater":[226],"functions":[227],"satisfy":[229],"appropriate":[230],"boundary":[231],"conditions;":[232],"some":[234],"cases,":[235],"find":[237],"notable":[238],"differences":[239],"respect":[241],"potential.":[245]},"counts_by_year":[],"updated_date":"2026-01-03T23:08:47.215875","created_date":"2026-01-02T00:00:00"}
