Quantum cosmology of scalar-tensor theories and self-adjointness

Bibliographic Details
Main Author: Almeida, Carla
Publication Date: 2016
Other Authors: Batista, António B., Fabris, Júlio C., Moniz, Paulo
Format: Article
Language: eng
Source: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Download full: http://hdl.handle.net/10400.6/7716
Summary: In this paper, the problem of the self-adjointness for the case of a quantum minisuperspace Hamiltonian retrieved from a Brans-Dicke (BD) action is investigated. Our matter content is presented in terms of a perfect fluid, onto which the Schutz's formalism will be applied. We use the von Neumann theorem and the similarity with the Laplacian operator in one of the variables to determine the cases where the Hamiltonian is self-adjoint and if it admits self-adjoint extensions. For the latter, we study which extension is physically more suitable.
id RCAP_d1e500cdc98404d56affc34487a45271
oai_identifier_str oai:ubibliorum.ubi.pt:10400.6/7716
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling Quantum cosmology of scalar-tensor theories and self-adjointnessIn this paper, the problem of the self-adjointness for the case of a quantum minisuperspace Hamiltonian retrieved from a Brans-Dicke (BD) action is investigated. Our matter content is presented in terms of a perfect fluid, onto which the Schutz's formalism will be applied. We use the von Neumann theorem and the similarity with the Laplacian operator in one of the variables to determine the cases where the Hamiltonian is self-adjoint and if it admits self-adjoint extensions. For the latter, we study which extension is physically more suitable.uBibliorumAlmeida, CarlaBatista, António B.Fabris, Júlio C.Moniz, Paulo2019-12-11T15:35:13Z2016-08-312016-08-31T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.6/7716eng10.1063/1.49795371608.08971v2info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-12-15T09:47:17Zoai:ubibliorum.ubi.pt:10400.6/7716Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:48:10.652574Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Quantum cosmology of scalar-tensor theories and self-adjointness
title Quantum cosmology of scalar-tensor theories and self-adjointness
spellingShingle Quantum cosmology of scalar-tensor theories and self-adjointness
Almeida, Carla
title_short Quantum cosmology of scalar-tensor theories and self-adjointness
title_full Quantum cosmology of scalar-tensor theories and self-adjointness
title_fullStr Quantum cosmology of scalar-tensor theories and self-adjointness
title_full_unstemmed Quantum cosmology of scalar-tensor theories and self-adjointness
title_sort Quantum cosmology of scalar-tensor theories and self-adjointness
author Almeida, Carla
author_facet Almeida, Carla
Batista, António B.
Fabris, Júlio C.
Moniz, Paulo
author_role author
author2 Batista, António B.
Fabris, Júlio C.
Moniz, Paulo
author2_role author
author
author
dc.contributor.none.fl_str_mv uBibliorum
dc.contributor.author.fl_str_mv Almeida, Carla
Batista, António B.
Fabris, Júlio C.
Moniz, Paulo
description In this paper, the problem of the self-adjointness for the case of a quantum minisuperspace Hamiltonian retrieved from a Brans-Dicke (BD) action is investigated. Our matter content is presented in terms of a perfect fluid, onto which the Schutz's formalism will be applied. We use the von Neumann theorem and the similarity with the Laplacian operator in one of the variables to determine the cases where the Hamiltonian is self-adjoint and if it admits self-adjoint extensions. For the latter, we study which extension is physically more suitable.
publishDate 2016
dc.date.none.fl_str_mv 2016-08-31
2016-08-31T00:00:00Z
2019-12-11T15:35:13Z
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://hdl.handle.net/10400.6/7716
url http://hdl.handle.net/10400.6/7716
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1063/1.4979537
1608.08971v2
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
_version_ 1799136376152653824

Similar Items