A possible deformed algebra and calculus inspired in nonextensive thermostatistics

Detalhes bibliográficos
Autor(a) principal: Borges, Ernesto Pinheiro
Data de Publicação: 2004
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://www.repositorio.ufba.br/ri/handle/ri/7156
Resumo: p. 95-101
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spelling Borges, Ernesto PinheiroBorges, Ernesto Pinheiro2012-11-08T19:56:17Z20040378-4371http://www.repositorio.ufba.br/ri/handle/ri/7156v. 340, n. 1-3p. 95-101We present a deformed algebra related to the q-exponential and the q-logarithm functions that emerge from nonextensive statistical mechanics. We also develop a q-derivative (and consistently a q-integral) for which the q-exponential is an eigenfunction. The q-derivative and the q-integral have a dual nature, that is also presented.Submitted by JURANDI DE SOUZA SILVA (jssufba@hotmail.com) on 2012-11-08T19:56:17Z No. of bitstreams: 1 1-s2.0-S0378437104004029-main.pdf: 182990 bytes, checksum: 30e63014442fa0e93e04a96dbb889ebc (MD5)Made available in DSpace on 2012-11-08T19:56:17Z (GMT). No. of bitstreams: 1 1-s2.0-S0378437104004029-main.pdf: 182990 bytes, checksum: 30e63014442fa0e93e04a96dbb889ebc (MD5) Previous issue date: 2004Elsevierhttp://dx.doi.org/10.1016/j.physa.2004.03.082reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBANonextensive statistical mechanicsq-Algebraq-CalculusA possible deformed algebra and calculus inspired in nonextensive thermostatisticsPhysica A: Statistical Mechanics and its Applicationsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article10000-01-01enginfo:eu-repo/semantics/openAccessORIGINAL1-s2.0-S0378437104004029-main.pdf1-s2.0-S0378437104004029-main.pdfapplication/pdf182990https://repositorio.ufba.br/bitstream/ri/7156/1/1-s2.0-S0378437104004029-main.pdf30e63014442fa0e93e04a96dbb889ebcMD51LICENSElicense.txtlicense.txttext/plain1809https://repositorio.ufba.br/bitstream/ri/7156/2/license.txt8bb3e3eb871f5854a9ec419f68651b60MD52TEXT1-s2.0-S0378437104004029-main.pdf.txt1-s2.0-S0378437104004029-main.pdf.txtExtracted texttext/plain13855https://repositorio.ufba.br/bitstream/ri/7156/3/1-s2.0-S0378437104004029-main.pdf.txt3a7bf8f988b5b21e45c56d857e50a37eMD53ri/71562022-07-05 14:03:45.9oai:repositorio.ufba.br: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ório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-07-05T17:03:45Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv A possible deformed algebra and calculus inspired in nonextensive thermostatistics
dc.title.alternative.pt_BR.fl_str_mv Physica A: Statistical Mechanics and its Applications
title A possible deformed algebra and calculus inspired in nonextensive thermostatistics
spellingShingle A possible deformed algebra and calculus inspired in nonextensive thermostatistics
Borges, Ernesto Pinheiro
Nonextensive statistical mechanics
q-Algebra
q-Calculus
title_short A possible deformed algebra and calculus inspired in nonextensive thermostatistics
title_full A possible deformed algebra and calculus inspired in nonextensive thermostatistics
title_fullStr A possible deformed algebra and calculus inspired in nonextensive thermostatistics
title_full_unstemmed A possible deformed algebra and calculus inspired in nonextensive thermostatistics
title_sort A possible deformed algebra and calculus inspired in nonextensive thermostatistics
author Borges, Ernesto Pinheiro
author_facet Borges, Ernesto Pinheiro
author_role author
dc.contributor.author.fl_str_mv Borges, Ernesto Pinheiro
Borges, Ernesto Pinheiro
dc.subject.por.fl_str_mv Nonextensive statistical mechanics
q-Algebra
q-Calculus
topic Nonextensive statistical mechanics
q-Algebra
q-Calculus
description p. 95-101
publishDate 2004
dc.date.issued.fl_str_mv 2004
dc.date.accessioned.fl_str_mv 2012-11-08T19:56:17Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://www.repositorio.ufba.br/ri/handle/ri/7156
dc.identifier.issn.none.fl_str_mv 0378-4371
dc.identifier.number.pt_BR.fl_str_mv v. 340, n. 1-3
identifier_str_mv 0378-4371
v. 340, n. 1-3
url http://www.repositorio.ufba.br/ri/handle/ri/7156
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.pt_BR.fl_str_mv http://dx.doi.org/10.1016/j.physa.2004.03.082
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFBA
instname:Universidade Federal da Bahia (UFBA)
instacron:UFBA
instname_str Universidade Federal da Bahia (UFBA)
instacron_str UFBA
institution UFBA
reponame_str Repositório Institucional da UFBA
collection Repositório Institucional da UFBA
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