Dirac operators on compact Riemannian manifolds

In this monograph we study the algebraic and geometric preliminaries for a Dirac operator and the necessary conditions to define it. We develop in detail the construction of the Dirac operator in the 2-sphere and obtain its spectrum. Finally we show that Connes's distance formula is valid in th...

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Autores:
Sánchez Mendoza, Daniel
Tipo de recurso:
Trabajo de grado de pregrado
Fecha de publicación:
2017
Institución:
Universidad de los Andes
Repositorio:
Séneca: repositorio Uniandes
Idioma:
eng
OAI Identifier:
oai:repositorio.uniandes.edu.co:1992/61369
Acceso en línea:
http://hdl.handle.net/1992/61369
Palabra clave:
Ecuación de Dirac
Física matemática
variedades de Riemann
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_abf2Reyes Lega, Andrés Fernandovirtual::14297-1Sánchez Mendoza, Danielfcbe7968-0d4f-4f2c-a2bf-cc032950ae9d4002022-09-26T22:17:09Z2022-09-26T22:17:09Z2017http://hdl.handle.net/1992/61369instname:Universidad de los Andesreponame:Repositorio Institucional Sénecarepourl:https://repositorio.uniandes.edu.co/795061-1001In this monograph we study the algebraic and geometric preliminaries for a Dirac operator and the necessary conditions to define it. We develop in detail the construction of the Dirac operator in the 2-sphere and obtain its spectrum. Finally we show that Connes's distance formula is valid in the unit circle in and the 2-sphere.--Tomado del Formato de Documento de Grado.En este monografía estudiamos los preliminares algebráicos y geométricos para un operador de Dirac y las condiciones necesarias para definirlo. Desarrollamos detalladamente la construcción del operador de Dirac en la 2-esfera y obtenemos su espectro. Finalmente mostramos que la fórmula de distancia de Connes es válida en el círculo unitario en y la 2-esfera.--Tomado del Formato de Documento de Grado.FísicoPregrado39 hojasapplication/pdfengUniversidad de los AndesFísicaFacultad de CienciasDepartamento de FísicaDirac operators on compact Riemannian manifoldsTrabajo de grado - Pregradoinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/acceptedVersionhttp://purl.org/coar/resource_type/c_7a1fTexthttp://purl.org/redcol/resource_type/TPEcuación de DiracFísica matemáticavariedades de Riemann201125252Publicationhttps://scholar.google.es/citations?user=04V0g64AAAAJvirtual::14297-1https://scienti.minciencias.gov.co/cvlac/visualizador/generarCurriculoCv.do?cod_rh=0000055174virtual::14297-19cfe3fb3-ca67-4abc-bf3f-6ceb7f9f4adfvirtual::14297-19cfe3fb3-ca67-4abc-bf3f-6ceb7f9f4adfvirtual::14297-1THUMBNAIL12259.pdf.jpg12259.pdf.jpgIM Thumbnailimage/jpeg8156https://repositorio.uniandes.edu.co/bitstreams/913f91b5-2a90-4ed2-b85b-951f25247644/downloadda1a84470ebb2ccd7e5a89c316e4a8ceMD53TEXT12259.pdf.txt12259.pdf.txtExtracted texttext/plain52547https://repositorio.uniandes.edu.co/bitstreams/1a5e1ba8-ba94-4fe6-bc07-9d2dca35d742/downloadcd34b3d568d79f9da764d8390a8523f7MD52ORIGINAL12259.pdfapplication/pdf371963https://repositorio.uniandes.edu.co/bitstreams/d59f2aca-a240-4720-a3f2-39a44b7b032b/downloadfd8036d2f77286d31a9137331b8f41f7MD511992/61369oai:repositorio.uniandes.edu.co:1992/613692024-03-13 15:09:56.448http://creativecommons.org/licenses/by-nc-sa/4.0/open.accesshttps://repositorio.uniandes.edu.coRepositorio institucional Sénecaadminrepositorio@uniandes.edu.co
dc.title.spa.fl_str_mv Dirac operators on compact Riemannian manifolds
title Dirac operators on compact Riemannian manifolds
spellingShingle Dirac operators on compact Riemannian manifolds
Ecuación de Dirac
Física matemática
variedades de Riemann
title_short Dirac operators on compact Riemannian manifolds
title_full Dirac operators on compact Riemannian manifolds
title_fullStr Dirac operators on compact Riemannian manifolds
title_full_unstemmed Dirac operators on compact Riemannian manifolds
title_sort Dirac operators on compact Riemannian manifolds
dc.creator.fl_str_mv Sánchez Mendoza, Daniel
dc.contributor.advisor.none.fl_str_mv Reyes Lega, Andrés Fernando
dc.contributor.author.none.fl_str_mv Sánchez Mendoza, Daniel
dc.subject.keyword.spa.fl_str_mv Ecuación de Dirac
Física matemática
variedades de Riemann
topic Ecuación de Dirac
Física matemática
variedades de Riemann
description In this monograph we study the algebraic and geometric preliminaries for a Dirac operator and the necessary conditions to define it. We develop in detail the construction of the Dirac operator in the 2-sphere and obtain its spectrum. Finally we show that Connes's distance formula is valid in the unit circle in and the 2-sphere.--Tomado del Formato de Documento de Grado.
publishDate 2017
dc.date.issued.spa.fl_str_mv 2017
dc.date.accessioned.none.fl_str_mv 2022-09-26T22:17:09Z
dc.date.available.none.fl_str_mv 2022-09-26T22:17:09Z
dc.type.spa.fl_str_mv Trabajo de grado - Pregrado
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dc.language.iso.spa.fl_str_mv eng
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dc.format.extent.spa.fl_str_mv 39 hojas
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad de los Andes
dc.publisher.program.spa.fl_str_mv Física
dc.publisher.faculty.spa.fl_str_mv Facultad de Ciencias
dc.publisher.department.spa.fl_str_mv Departamento de Física
institution Universidad de los Andes
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