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dc.contributor.authorBostan, Irina
dc.date.accessioned2011-02-25T06:43:13Z
dc.date.available2011-02-25T06:43:13Z
dc.date.issued2010
dc.identifier.otheroai:jykdok.linneanet.fi:1149505
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/26598
dc.description.abstractIn this work the basic formalism of non-equilibrium Green’s functions is presented and then applied to study a Ward identity in linear response theory, namely the frequency sum-rule. It can be proven that the frequency sum-rule is satisfied when the quantities involved are calculated using perturbation theory within a conserving approximation for the self-energy. To illustrate this equality along with other properties of the response function, a numerical application that solves the Kadanoff-Baym equations for systems of Hubbard chains was used. The results showed that the frequency sum-rule was satisfied to the same extent by all the conserving approximations used as by the exact diagonalization numerical results. The density response function was analyzed diagrammatically for a series of conserving approximations for the self-energy and this demonstrated that even for a first order in perturbation theory approximation for the self-energy, the response function has a corresponding complex, third order in the perturbation diagrammatic structure.
dc.format.extent46 sivua
dc.language.isoeng
dc.rightsThis publication is copyrighted. You may download, display and print it for Your own personal use. Commercial use is prohibited.en
dc.rightsJulkaisu on tekijänoikeussäännösten alainen. Teosta voi lukea ja tulostaa henkilökohtaista käyttöä varten. Käyttö kaupallisiin tarkoituksiin on kielletty.fi
dc.subject.othercondensed matter
dc.subject.othermany-body theory
dc.titleStudy of linear response in Hubbard chains using Many-body Perturbation Theory
dc.identifier.urnURN:NBN:fi:jyu-201102251820
dc.type.dcmitypeTexten
dc.type.ontasotPro gradufi
dc.type.ontasotMaster’s thesisen
dc.contributor.tiedekuntaMatemaattis-luonnontieteellinen tiedekuntafi
dc.contributor.tiedekuntaFaculty of Sciencesen
dc.contributor.laitosFysiikan laitosfi
dc.contributor.laitosDepartment of Physicsen
dc.contributor.yliopistoUniversity of Jyväskyläen
dc.contributor.yliopistoJyväskylän yliopistofi
dc.contributor.oppiaineFysiikkafi
dc.contributor.oppiainePhysicsen
dc.rights.accesslevelopenAccessfi
dc.contributor.oppiainekoodi4021


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