Absence of singular continuous spectrum of selfadjoint operators

Spectral analysis is a powerful tool for study of properties of differential operators in mathematical physics, in particular in quantum mechanics. The aim of this paper is to give an introduction to the theory of linear operators on Banach and Hilbert spaces, to study the spectral properties of sel...

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Autores:
Pérez Recuero, Jonathan
Tipo de recurso:
Fecha de publicación:
2012
Institución:
Universidad de los Andes
Repositorio:
Séneca: repositorio Uniandes
Idioma:
eng
OAI Identifier:
oai:repositorio.uniandes.edu.co:1992/11883
Acceso en línea:
http://hdl.handle.net/1992/11883
Palabra clave:
Teoría de los operadores
Análisis espectral
Operador de Schrödinger
Matemáticas
Rights
openAccess
License
http://creativecommons.org/licenses/by-nc-sa/4.0/
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spelling Al consultar y hacer uso de este recurso, está aceptando las condiciones de uso establecidas por los autores.http://creativecommons.org/licenses/by-nc-sa/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Winklmeier, Monika Annavirtual::17885-1Pérez Recuero, Jonathanvirtual::17883-1Giniatoulline, Andreivirtual::17886-1Reyes Lega, Andrés Fernandovirtual::17887-12018-09-28T08:19:44Z2018-09-28T08:19:44Z2012http://hdl.handle.net/1992/11883u627740.pdfinstname:Universidad de los Andesreponame:Repositorio Institucional Sénecarepourl:https://repositorio.uniandes.edu.co/Spectral analysis is a powerful tool for study of properties of differential operators in mathematical physics, in particular in quantum mechanics. The aim of this paper is to give an introduction to the theory of linear operators on Banach and Hilbert spaces, to study the spectral properties of selfadjoint operators on a Hilbert space and to apply some classic results that provide conditions for the absence of singular continuous spectrum of certain selfadjoint operator. Finally, these results are applied to the Schrödinger operators with potential in L2(Rm)Magíster en MatemáticasMaestría64 hojasapplication/pdfengUniandesMaestría en MatemáticasFacultad de CienciasDepartamento de Matemáticasinstname:Universidad de los Andesreponame:Repositorio Institucional SénecaAbsence of singular continuous spectrum of selfadjoint operatorsTrabajo de grado - Maestríainfo:eu-repo/semantics/masterThesishttp://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/TMTeoría de los operadoresAnálisis espectralOperador de SchrödingerMatemáticasPublication372a176a-8295-4320-8f31-92fec8b8f926virtual::17883-1372a176a-8295-4320-8f31-92fec8b8f926virtual::17883-100b2a223-3338-4d2b-a5ba-6aedc0e3ede6virtual::17885-100b2a223-3338-4d2b-a5ba-6aedc0e3ede6virtual::17885-19b923672-acc7-4823-8661-f59822bb191bvirtual::17886-19cfe3fb3-ca67-4abc-bf3f-6ceb7f9f4adfvirtual::17887-19b923672-acc7-4823-8661-f59822bb191bvirtual::17886-19cfe3fb3-ca67-4abc-bf3f-6ceb7f9f4adfvirtual::17887-1https://scholar.google.es/citations?user=rHoZFKQAAAAJvirtual::17885-1https://scholar.google.es/citations?user=04V0g64AAAAJvirtual::17887-10000-0001-8590-5738virtual::17885-1https://scienti.minciencias.gov.co/cvlac/visualizador/generarCurriculoCv.do?cod_rh=0001309145virtual::17885-1https://scienti.minciencias.gov.co/cvlac/visualizador/generarCurriculoCv.do?cod_rh=0000169927virtual::17886-1https://scienti.minciencias.gov.co/cvlac/visualizador/generarCurriculoCv.do?cod_rh=0000055174virtual::17887-1TEXTu627740.pdf.txtu627740.pdf.txtExtracted texttext/plain136099https://repositorio.uniandes.edu.co/bitstreams/4f7784c3-a186-4cdd-a52e-66449841766e/downloadcb8c7319d6e533b34ea760bf1071fa35MD54THUMBNAILu627740.pdf.jpgu627740.pdf.jpgIM Thumbnailimage/jpeg3021https://repositorio.uniandes.edu.co/bitstreams/5ca292a3-58ac-41ca-be66-539ead456978/download37816fd6fb5dcbaa84aef40d6bc5aad9MD55ORIGINALu627740.pdfapplication/pdf1552154https://repositorio.uniandes.edu.co/bitstreams/d09a8f76-842a-42f8-89eb-3e8fab96181f/downloada63ee4aa5520079ac82e4543a58c6b3fMD511992/11883oai:repositorio.uniandes.edu.co:1992/118832024-04-12 11:22:36.41http://creativecommons.org/licenses/by-nc-sa/4.0/open.accesshttps://repositorio.uniandes.edu.coRepositorio institucional Sénecaadminrepositorio@uniandes.edu.co
dc.title.es_CO.fl_str_mv Absence of singular continuous spectrum of selfadjoint operators
title Absence of singular continuous spectrum of selfadjoint operators
spellingShingle Absence of singular continuous spectrum of selfadjoint operators
Teoría de los operadores
Análisis espectral
Operador de Schrödinger
Matemáticas
title_short Absence of singular continuous spectrum of selfadjoint operators
title_full Absence of singular continuous spectrum of selfadjoint operators
title_fullStr Absence of singular continuous spectrum of selfadjoint operators
title_full_unstemmed Absence of singular continuous spectrum of selfadjoint operators
title_sort Absence of singular continuous spectrum of selfadjoint operators
dc.creator.fl_str_mv Pérez Recuero, Jonathan
dc.contributor.advisor.none.fl_str_mv Winklmeier, Monika Anna
dc.contributor.author.none.fl_str_mv Pérez Recuero, Jonathan
dc.contributor.jury.none.fl_str_mv Giniatoulline, Andrei
Reyes Lega, Andrés Fernando
dc.subject.keyword.es_CO.fl_str_mv Teoría de los operadores
Análisis espectral
Operador de Schrödinger
topic Teoría de los operadores
Análisis espectral
Operador de Schrödinger
Matemáticas
dc.subject.themes.none.fl_str_mv Matemáticas
description Spectral analysis is a powerful tool for study of properties of differential operators in mathematical physics, in particular in quantum mechanics. The aim of this paper is to give an introduction to the theory of linear operators on Banach and Hilbert spaces, to study the spectral properties of selfadjoint operators on a Hilbert space and to apply some classic results that provide conditions for the absence of singular continuous spectrum of certain selfadjoint operator. Finally, these results are applied to the Schrödinger operators with potential in L2(Rm)
publishDate 2012
dc.date.issued.none.fl_str_mv 2012
dc.date.accessioned.none.fl_str_mv 2018-09-28T08:19:44Z
dc.date.available.none.fl_str_mv 2018-09-28T08:19:44Z
dc.type.spa.fl_str_mv Trabajo de grado - Maestría
dc.type.coarversion.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
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dc.type.content.spa.fl_str_mv Text
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dc.identifier.uri.none.fl_str_mv http://hdl.handle.net/1992/11883
dc.identifier.pdf.none.fl_str_mv u627740.pdf
dc.identifier.instname.spa.fl_str_mv instname:Universidad de los Andes
dc.identifier.reponame.spa.fl_str_mv reponame:Repositorio Institucional Séneca
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url http://hdl.handle.net/1992/11883
identifier_str_mv u627740.pdf
instname:Universidad de los Andes
reponame:Repositorio Institucional Séneca
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dc.language.iso.es_CO.fl_str_mv eng
language eng
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rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.extent.es_CO.fl_str_mv 64 hojas
dc.format.mimetype.es_CO.fl_str_mv application/pdf
dc.publisher.es_CO.fl_str_mv Uniandes
dc.publisher.program.es_CO.fl_str_mv Maestría en Matemáticas
dc.publisher.faculty.es_CO.fl_str_mv Facultad de Ciencias
dc.publisher.department.es_CO.fl_str_mv Departamento de Matemáticas
dc.source.es_CO.fl_str_mv instname:Universidad de los Andes
reponame:Repositorio Institucional Séneca
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