Non-anti-hermitian Quaternionic Quantum Mechanics

Detalhes bibliográficos
Autor(a) principal: Giardino Filho, Sergio Augusto
Data de Publicação: 2018
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRGS
Texto Completo: http://hdl.handle.net/10183/180276
Resumo: The breakdown of Ehrenfest’s theorem imposes serious limitations on quaternionic quantum mechanics (QQM). In order to determine the conditions in which the theorem is valid, we examined the conservation of the probability density, the expectation value and the classical limit for a non-anti-hermitian formulation of QQM. The results also indicated that the non-anti-hermitian quaternionic theory is related to non-hermitian quantum mechanics, and thus the physical problems described with both of the theories should be related.
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spelling Giardino Filho, Sergio Augusto2018-07-10T02:33:00Z20180188-7009http://hdl.handle.net/10183/180276001070889The breakdown of Ehrenfest’s theorem imposes serious limitations on quaternionic quantum mechanics (QQM). In order to determine the conditions in which the theorem is valid, we examined the conservation of the probability density, the expectation value and the classical limit for a non-anti-hermitian formulation of QQM. The results also indicated that the non-anti-hermitian quaternionic theory is related to non-hermitian quantum mechanics, and thus the physical problems described with both of the theories should be related.application/pdfengAdvances in Applied Clifford Algebras. Germany: Springer Verlang, 2018. Vol. 28, no. 1 (2018), 11 p.Mecanica quantica : MatematicaMatematica aplicada : MecanicaNon-anti-hermitian Quaternionic Quantum MechanicsEstrangeiroinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSORIGINAL001070889.pdf001070889.pdfTexto completo (inglês)application/pdf477357http://www.lume.ufrgs.br/bitstream/10183/180276/1/001070889.pdf6815804b45b7e61396ae7d9c6cb1e0cdMD51TEXT001070889.pdf.txt001070889.pdf.txtExtracted Texttext/plain24403http://www.lume.ufrgs.br/bitstream/10183/180276/2/001070889.pdf.txt13e90d7fd32ebb818b687bfecdc34c82MD52THUMBNAIL001070889.pdf.jpg001070889.pdf.jpgGenerated Thumbnailimage/jpeg1575http://www.lume.ufrgs.br/bitstream/10183/180276/3/001070889.pdf.jpgd730eb6fb62c837171f63035e96e9255MD5310183/1802762018-10-05 07:29:47.181oai:www.lume.ufrgs.br:10183/180276Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2018-10-05T10:29:47Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false
dc.title.pt_BR.fl_str_mv Non-anti-hermitian Quaternionic Quantum Mechanics
title Non-anti-hermitian Quaternionic Quantum Mechanics
spellingShingle Non-anti-hermitian Quaternionic Quantum Mechanics
Giardino Filho, Sergio Augusto
Mecanica quantica : Matematica
Matematica aplicada : Mecanica
title_short Non-anti-hermitian Quaternionic Quantum Mechanics
title_full Non-anti-hermitian Quaternionic Quantum Mechanics
title_fullStr Non-anti-hermitian Quaternionic Quantum Mechanics
title_full_unstemmed Non-anti-hermitian Quaternionic Quantum Mechanics
title_sort Non-anti-hermitian Quaternionic Quantum Mechanics
author Giardino Filho, Sergio Augusto
author_facet Giardino Filho, Sergio Augusto
author_role author
dc.contributor.author.fl_str_mv Giardino Filho, Sergio Augusto
dc.subject.por.fl_str_mv Mecanica quantica : Matematica
Matematica aplicada : Mecanica
topic Mecanica quantica : Matematica
Matematica aplicada : Mecanica
description The breakdown of Ehrenfest’s theorem imposes serious limitations on quaternionic quantum mechanics (QQM). In order to determine the conditions in which the theorem is valid, we examined the conservation of the probability density, the expectation value and the classical limit for a non-anti-hermitian formulation of QQM. The results also indicated that the non-anti-hermitian quaternionic theory is related to non-hermitian quantum mechanics, and thus the physical problems described with both of the theories should be related.
publishDate 2018
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dc.relation.ispartof.pt_BR.fl_str_mv Advances in Applied Clifford Algebras. Germany: Springer Verlang, 2018. Vol. 28, no. 1 (2018), 11 p.
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