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dc.contributor.advisorHetényi, Balázs
dc.contributor.authorKatı, Yağmur
dc.date.accessioned2016-04-29T11:39:04Z
dc.date.available2016-04-29T11:39:04Z
dc.date.copyright2015-06
dc.date.issued2015-06
dc.date.submitted07-08-2015
dc.identifier.urihttp://hdl.handle.net/11693/29017
dc.descriptionCataloged from PDF version of thesis.en_US
dc.descriptionIncludes bibliographical references (leaves 47-49).en_US
dc.descriptionThesis (M.S.): Bilkent University, Department of Physics, İhsan Doğramacı Bilkent University, 2015.en_US
dc.description.abstractThe electron gas (2D and 3D) is a model which consists of interacting electrons moving in a uniform positive background. Its importance stems from the fact that a number of metals behave similarly, it provides the functional used in density functional theory, and that in 2D it can be experimentally realized. Understanding the behavior of this model is of fundamental importance. In this thesis we present an analysis of this model based on the Hypernetted Chain Method in 3D, and 2D. The HNC method is a variational method to calculate the ground state properties of an interacting system, by expressing the ground state energy as a functional of the radial distribution function. Minimizing the energy expression one obtains a zero energy Schr odinger equation for the square root of the radial distribution function. The potential in this equation can include the e ects of fermionic or bosonic exchange. We applied this method to charged boson and electron gas in 2D and 3D systems. On the basis of the results of this research, it can be concluded that we obtained very close correlation energy results compared to Monte Carlo, and FHNC results for the density range when rs is from 0 to 20. This extended range is important for solid state applications.en_US
dc.description.statementofresponsibilityby Yağmur Katı.en_US
dc.format.extentxi, 64 leaves. : charts.en_US
dc.language.isoEnglishen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectElectron gasen_US
dc.subjectCharged bosonen_US
dc.subjectHypernetted chain theoryen_US
dc.subjectRadial distribution functionen_US
dc.subjectGround state energyen_US
dc.subjectQuantum hall effecten_US
dc.titleAnalytic calculation of ground state properties of the 2d and 3d electron gasen_US
dc.title.alternativeİki ve üç boyutlu elektron gazının temel durum özelliklerinin analitik hesaplamasıen_US
dc.typeThesisen_US
dc.departmentDepartment of Physicsen_US
dc.publisherBilkent Universityen_US
dc.description.degreeM.S.en_US
dc.identifier.itemidB150947
dc.embargo.release2017-07-27


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