Density-potential mapping in the standard and quantum electrodynamical time-dependent density functional theory

131 p.

Detalles Bibliográficos
Autor: Farzanhepour, Mehdi
Tipo de recurso: tesis doctoral
Fecha de publicación:2015
País:España
Institución:Universidad del País Vasco
Repositorio:Addi. Archivo Digital para la Docencia y la Investigación
OAI Identifier:oai:addi.ehu.eus:10810/16774
Acceso en línea:http://hdl.handle.net/10810/16774
Access Level:acceso abierto
Palabra clave:solid state physics
física del estado sólido
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spelling Density-potential mapping in the standard and quantum electrodynamical time-dependent density functional theoryFarzanhepour, Mehdisolid state physicsfísica del estado sólido131 p.This thesis is devoted to the formulation and implications of the time-dependent density functional theory (TDDFT). The work is divided into two main parts. In the first part we develop rigorous theorems for the density-potential mapping in quantum many-body systems on a lattice. We prove the uniqueness of the TDDFT map and demonstrate that a given density is v-representable if the initial many-body state and the density satisfy certain well defined conditions. In particular, we show that for a system evolving from its ground state any density with a continuous second time derivative is v-representable. Then the lattice TDDFT formulation is extended to cover system of interacting lattice electrons strongly coupled to cavity photons.We prove that under some mathematical conditions the electron-photon wave function is a unique functional of the electronic density and the expectation value of the photonic coordinate. Then we further generalize the ground state v representability theorem to include the ground state of a general lattice electron-photon Hamiltonian.Rubio Secades, AngelTokatly, IlyaFísica de Materiales;;Materialen Fisika2016201620152015info:eu-repo/semantics/doctoralThesisapplication/pdfhttp://hdl.handle.net/10810/16774reponame:Addi. Archivo Digital para la Docencia y la Investigacióninstname:Universidad del País VascoInglésinfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc/4.0/(cc)2015 MEHDI FARZANHEPOUR (cc by-nc 4.0)oai:addi.ehu.eus:10810/167742026-06-18T09:23:17Z
dc.title.none.fl_str_mv Density-potential mapping in the standard and quantum electrodynamical time-dependent density functional theory
title Density-potential mapping in the standard and quantum electrodynamical time-dependent density functional theory
spellingShingle Density-potential mapping in the standard and quantum electrodynamical time-dependent density functional theory
Farzanhepour, Mehdi
solid state physics
física del estado sólido
title_short Density-potential mapping in the standard and quantum electrodynamical time-dependent density functional theory
title_full Density-potential mapping in the standard and quantum electrodynamical time-dependent density functional theory
title_fullStr Density-potential mapping in the standard and quantum electrodynamical time-dependent density functional theory
title_full_unstemmed Density-potential mapping in the standard and quantum electrodynamical time-dependent density functional theory
title_sort Density-potential mapping in the standard and quantum electrodynamical time-dependent density functional theory
dc.creator.none.fl_str_mv Farzanhepour, Mehdi
author Farzanhepour, Mehdi
author_facet Farzanhepour, Mehdi
author_role author
dc.contributor.none.fl_str_mv Rubio Secades, Angel
Tokatly, Ilya
Física de Materiales;;Materialen Fisika
dc.subject.none.fl_str_mv solid state physics
física del estado sólido
topic solid state physics
física del estado sólido
description 131 p.
publishDate 2015
dc.date.none.fl_str_mv 2015
2015
2016
2016
dc.type.none.fl_str_mv info:eu-repo/semantics/doctoralThesis
format doctoralThesis
dc.identifier.none.fl_str_mv http://hdl.handle.net/10810/16774
url http://hdl.handle.net/10810/16774
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc/4.0/
(cc)2015 MEHDI FARZANHEPOUR (cc by-nc 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc/4.0/
(cc)2015 MEHDI FARZANHEPOUR (cc by-nc 4.0)
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Addi. Archivo Digital para la Docencia y la Investigación
instname:Universidad del País Vasco
instname_str Universidad del País Vasco
reponame_str Addi. Archivo Digital para la Docencia y la Investigación
collection Addi. Archivo Digital para la Docencia y la Investigación
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.301603

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