{"id":"https://openalex.org/W4386439837","doi":"https://doi.org/10.3390/e25091296","title":"Quantum Information Entropy for Another Class of New Proposed Hyperbolic Potentials","display_name":"Quantum Information Entropy for Another Class of New Proposed Hyperbolic Potentials","publication_year":2023,"publication_date":"2023-09-05","ids":{"openalex":"https://openalex.org/W4386439837","doi":"https://doi.org/10.3390/e25091296","pmid":"https://pubmed.ncbi.nlm.nih.gov/37761596"},"language":"en","primary_location":{"id":"doi:10.3390/e25091296","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e25091296","pdf_url":"https://www.mdpi.com/1099-4300/25/9/1296/pdf?version=1693894657","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/25/9/1296/pdf?version=1693894657","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024322072","display_name":"R. Santana\u2010Carrillo","orcid":null},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"R. Santana-Carrillo","raw_affiliation_strings":["Centro de Investigaci\u00f3n en Computaci\u00f3n, Instituto Polit\u00e9cnico Nacional, UPALM, Mexico City 07738, Mexico"],"affiliations":[{"raw_affiliation_string":"Centro de Investigaci\u00f3n en Computaci\u00f3n, Instituto Polit\u00e9cnico Nacional, UPALM, Mexico City 07738, Mexico","institution_ids":["https://openalex.org/I59361560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090172399","display_name":"Roberto de J. Le\u00f3n\u2010Montiel","orcid":"https://orcid.org/0000-0002-3045-3604"},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Roberto de J. Le\u00f3n-Montiel","raw_affiliation_strings":["Instituto de Ciencias Nucleares, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Apartado Postal 70-543, Mexico City 04510, Mexico"],"affiliations":[{"raw_affiliation_string":"Instituto de Ciencias Nucleares, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Apartado Postal 70-543, Mexico City 04510, Mexico","institution_ids":["https://openalex.org/I8961855"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060511140","display_name":"Guo-Hua Sun","orcid":"https://orcid.org/0000-0002-0689-2754"},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Guo-Hua Sun","raw_affiliation_strings":["Centro de Investigaci\u00f3n en Computaci\u00f3n, Instituto Polit\u00e9cnico Nacional, UPALM, Mexico City 07738, Mexico"],"affiliations":[{"raw_affiliation_string":"Centro de Investigaci\u00f3n en Computaci\u00f3n, Instituto Polit\u00e9cnico Nacional, UPALM, Mexico City 07738, Mexico","institution_ids":["https://openalex.org/I59361560"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019426116","display_name":"Shi\u2010Hai Dong","orcid":"https://orcid.org/0000-0002-0769-635X"},"institutions":[{"id":"https://openalex.org/I3018263800","display_name":"Huzhou University","ror":"https://ror.org/04mvpxy20","country_code":"CN","type":"education","lineage":["https://openalex.org/I3018263800"]},{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["CN","MX"],"is_corresponding":true,"raw_author_name":"Shi-Hai Dong","raw_affiliation_strings":["Centro de Investigaci\u00f3n en Computaci\u00f3n, Instituto Polit\u00e9cnico Nacional, UPALM, Mexico City 07738, Mexico","Research Center for Quantum Physics, Huzhou University, Huzhou 313000, China"],"affiliations":[{"raw_affiliation_string":"Centro de Investigaci\u00f3n en Computaci\u00f3n, Instituto Polit\u00e9cnico Nacional, UPALM, Mexico City 07738, Mexico","institution_ids":["https://openalex.org/I59361560"]},{"raw_affiliation_string":"Research Center for Quantum Physics, Huzhou University, Huzhou 313000, China","institution_ids":["https://openalex.org/I3018263800"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5019426116","https://openalex.org/A5060511140"],"corresponding_institution_ids":["https://openalex.org/I3018263800","https://openalex.org/I59361560"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.4203,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.80825846,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"25","issue":"9","first_page":"1296","last_page":"1296"},"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":0.9987000226974487,"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":0.9987000226974487,"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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9945999979972839,"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/entropy","display_name":"Entropy (arrow of time)","score":0.5653144121170044},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.537628173828125},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4967520833015442},{"id":"https://openalex.org/keywords/quantum-relative-entropy","display_name":"Quantum relative entropy","score":0.4963896870613098},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.48867157101631165},{"id":"https://openalex.org/keywords/coherent-information","display_name":"Coherent information","score":0.4804915189743042},{"id":"https://openalex.org/keywords/generalized-relative-entropy","display_name":"Generalized relative entropy","score":0.4670248031616211},{"id":"https://openalex.org/keywords/joint-quantum-entropy","display_name":"Joint quantum entropy","score":0.4666549861431122},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4585549235343933},{"id":"https://openalex.org/keywords/quantum-information","display_name":"Quantum information","score":0.3633553981781006},{"id":"https://openalex.org/keywords/quantum-discord","display_name":"Quantum discord","score":0.34103623032569885},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.30288299918174744},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27673178911209106},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.27056416869163513},{"id":"https://openalex.org/keywords/quantum-channel","display_name":"Quantum channel","score":0.20272189378738403},{"id":"https://openalex.org/keywords/open-quantum-system","display_name":"Open quantum system","score":0.16082578897476196},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11244228482246399}],"concepts":[{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5653144121170044},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.537628173828125},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4967520833015442},{"id":"https://openalex.org/C24495805","wikidata":"https://www.wikidata.org/wiki/Q7269091","display_name":"Quantum relative entropy","level":5,"score":0.4963896870613098},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.48867157101631165},{"id":"https://openalex.org/C184049767","wikidata":"https://www.wikidata.org/wiki/Q5141355","display_name":"Coherent information","level":5,"score":0.4804915189743042},{"id":"https://openalex.org/C5084201","wikidata":"https://www.wikidata.org/wiki/Q17090689","display_name":"Generalized relative entropy","level":5,"score":0.4670248031616211},{"id":"https://openalex.org/C42047476","wikidata":"https://www.wikidata.org/wiki/Q6269544","display_name":"Joint quantum entropy","level":3,"score":0.4666549861431122},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4585549235343933},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.3633553981781006},{"id":"https://openalex.org/C139356082","wikidata":"https://www.wikidata.org/wiki/Q7269038","display_name":"Quantum discord","level":4,"score":0.34103623032569885},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.30288299918174744},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27673178911209106},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.27056416869163513},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.20272189378738403},{"id":"https://openalex.org/C190474826","wikidata":"https://www.wikidata.org/wiki/Q2495111","display_name":"Open quantum system","level":3,"score":0.16082578897476196},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11244228482246399}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/e25091296","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e25091296","pdf_url":"https://www.mdpi.com/1099-4300/25/9/1296/pdf?version=1693894657","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:37761596","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/37761596","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:pubmedcentral.nih.gov:10527625","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/10527625","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC10527625/pdf/entropy-25-01296.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"},{"id":"pmh:oai:doaj.org/article:d21525bdb8d24f49bd904c42f99f2c82","is_oa":true,"landing_page_url":"https://doaj.org/article/d21525bdb8d24f49bd904c42f99f2c82","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 25, Iss 9, p 1296 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/25/9/1296/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e25091296","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e25091296","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e25091296","pdf_url":"https://www.mdpi.com/1099-4300/25/9/1296/pdf?version=1693894657","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1328945717","display_name":null,"funder_award_id":"PAPIIT","funder_id":"https://openalex.org/F4320335100","funder_display_name":"Direcci\u00f3n General de Asuntos del Personal Acad\u00e9mico, Universidad Nacional Aut\u00f3noma de M\u00e9xico"},{"id":"https://openalex.org/G2486244640","display_name":null,"funder_award_id":"UNAM-PAPIIT IN101623","funder_id":"https://openalex.org/F4320335100","funder_display_name":"Direcci\u00f3n General de Asuntos del Personal Acad\u00e9mico, Universidad Nacional Aut\u00f3noma de M\u00e9xico"},{"id":"https://openalex.org/G6471601267","display_name":null,"funder_award_id":"DGAPA-UNAM","funder_id":"https://openalex.org/F4320335100","funder_display_name":"Direcci\u00f3n General de Asuntos del Personal Acad\u00e9mico, Universidad Nacional Aut\u00f3noma de M\u00e9xico"},{"id":"https://openalex.org/G8179240673","display_name":null,"funder_award_id":"IN101623","funder_id":"https://openalex.org/F4320335100","funder_display_name":"Direcci\u00f3n General de Asuntos del Personal Acad\u00e9mico, Universidad Nacional Aut\u00f3noma de M\u00e9xico"}],"funders":[{"id":"https://openalex.org/F4320335100","display_name":"Direcci\u00f3n General de Asuntos del Personal Acad\u00e9mico, Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4386439837.pdf"},"referenced_works_count":52,"referenced_works":["https://openalex.org/W1488780622","https://openalex.org/W1892798954","https://openalex.org/W1976900654","https://openalex.org/W1986217599","https://openalex.org/W1989154075","https://openalex.org/W1995201166","https://openalex.org/W1995875735","https://openalex.org/W2007312823","https://openalex.org/W2026938008","https://openalex.org/W2028733879","https://openalex.org/W2035135335","https://openalex.org/W2041228865","https://openalex.org/W2045330638","https://openalex.org/W2047462589","https://openalex.org/W2048208475","https://openalex.org/W2053565514","https://openalex.org/W2055562369","https://openalex.org/W2062948619","https://openalex.org/W2073156421","https://openalex.org/W2081387395","https://openalex.org/W2085336955","https://openalex.org/W2085413777","https://openalex.org/W2088325035","https://openalex.org/W2092533489","https://openalex.org/W2094654291","https://openalex.org/W2094862411","https://openalex.org/W2115315179","https://openalex.org/W2115682287","https://openalex.org/W2134890380","https://openalex.org/W2156430242","https://openalex.org/W2280818436","https://openalex.org/W2524661573","https://openalex.org/W2551958284","https://openalex.org/W2783864128","https://openalex.org/W2787894218","https://openalex.org/W2803601976","https://openalex.org/W2911436056","https://openalex.org/W2945586998","https://openalex.org/W3008455952","https://openalex.org/W3093374180","https://openalex.org/W3099195876","https://openalex.org/W3152690801","https://openalex.org/W3207323485","https://openalex.org/W3209770748","https://openalex.org/W4205427161","https://openalex.org/W4224987251","https://openalex.org/W4247087367","https://openalex.org/W4307263413","https://openalex.org/W4366138894","https://openalex.org/W4382726164","https://openalex.org/W6773896669","https://openalex.org/W6781895472"],"related_works":["https://openalex.org/W4388950697","https://openalex.org/W4281489774","https://openalex.org/W2047561277","https://openalex.org/W4301728069","https://openalex.org/W2952862646","https://openalex.org/W2558132982","https://openalex.org/W2509134767","https://openalex.org/W2949984052","https://openalex.org/W2962038683","https://openalex.org/W1969664948"],"abstract_inverted_index":{"In":[0],"this":[1,121],"work,":[2],"we":[3,56,113,203],"investigate":[4],"the":[5,24,28,37,47,50,59,67,79,83,106,116,132,141,150,156,159,168,181,199,208,218,222,229],"Shannon":[6,117,182],"entropy":[7,61,88,183,210],"of":[8,27,49,134,158,221],"four":[9],"recently":[10],"proposed":[11],"hyperbolic":[12,187],"potentials":[13,30,39,81,145],"through":[14],"studying":[15],"position":[16,60,87,135],"and":[17,52,93,108,136,162,195,212],"momentum":[18,72,94,137],"entropies.":[19],"Our":[20,175],"analysis":[21,206],"reveals":[22],"that":[23,58,115,131,214],"wave":[25],"functions":[26],"single-well":[29,68],"U0,3":[31],"exhibit":[32],"greater":[33],"localization":[34,44,65,193],"compared":[35],"to":[36,198,207],"double-well":[38,53,80],"U1,2.":[40],"This":[41],"difference":[42],"in":[43],"arises":[45],"from":[46],"depths":[48,125],"single-":[51],"potentials.":[54],"Specifically,":[55],"observe":[57],"density":[62,74,89,96],"shows":[63],"higher":[64],"for":[66,123,144,148,185],"potentials,":[69,188],"while":[70,147],"their":[71,192,196],"probability":[73,95],"becomes":[75],"more":[76],"delocalized.":[77],"Conversely,":[78],"demonstrate":[82],"opposite":[84],"behavior,":[85],"with":[86,140,153,217,228],"being":[90],"less":[91],"localized":[92],"showing":[97],"increased":[98],"localization.":[99],"Notably,":[100],"our":[101,205],"study":[102,176],"also":[103],"involves":[104],"examining":[105],"Bialynicki-Birula":[107],"Mycielski":[109],"(BBM)":[110],"inequality,":[111],"where":[112],"find":[114,213],"entropies":[118,138],"still":[119],"satisfy":[120],"inequality":[122],"varying":[124],"u\u00af.":[126,154],"An":[127],"intriguing":[128],"observation":[129],"is":[130],"sum":[133,151,157],"increases":[139,216],"variable":[142],"u\u00af":[143,173,220],"U1,2,3,":[146],"U0,":[149],"decreases":[152,227],"Additionally,":[155],"cases":[160],"U0":[161],"U3":[163],"almost":[164],"remains":[165],"constant":[166],"within":[167],"relative":[169],"value":[170],"0.01":[171],"as":[172],"increases.":[174],"provides":[177],"valuable":[178],"insights":[179],"into":[180],"behavior":[184],"these":[186],"shedding":[189],"light":[190],"on":[191],"characteristics":[194],"relation":[197],"potential":[200,223],"depths.":[201],"Finally,":[202],"extend":[204],"Fisher":[209],"F\u00afx":[211],"it":[215],"depth":[219],"wells":[224],"but":[225],"F\u00afp":[226],"depth.":[230]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}