dc.contributor.advisor | Hetényi, Balázs | |
dc.contributor.author | Katı, Yağmur | |
dc.date.accessioned | 2016-04-29T11:39:04Z | |
dc.date.available | 2016-04-29T11:39:04Z | |
dc.date.copyright | 2015-06 | |
dc.date.issued | 2015-06 | |
dc.date.submitted | 07-08-2015 | |
dc.identifier.uri | http://hdl.handle.net/11693/29017 | |
dc.description | Cataloged from PDF version of thesis. | en_US |
dc.description | Includes bibliographical references (leaves 47-49). | en_US |
dc.description | Thesis (M.S.): Bilkent University, Department of Physics, İhsan Doğramacı Bilkent University, 2015. | en_US |
dc.description.abstract | The 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.statementofresponsibility | by Yağmur Katı. | en_US |
dc.format.extent | xi, 64 leaves. : charts. | en_US |
dc.language.iso | English | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Electron gas | en_US |
dc.subject | Charged boson | en_US |
dc.subject | Hypernetted chain theory | en_US |
dc.subject | Radial distribution function | en_US |
dc.subject | Ground state energy | en_US |
dc.subject | Quantum hall effect | en_US |
dc.title | Analytic calculation of ground state properties of the 2d and 3d electron gas | en_US |
dc.title.alternative | İki ve üç boyutlu elektron gazının temel durum özelliklerinin analitik hesaplaması | en_US |
dc.type | Thesis | en_US |
dc.department | Department of Physics | en_US |
dc.publisher | Bilkent University | en_US |
dc.description.degree | M.S. | en_US |
dc.identifier.itemid | B150947 | |
dc.embargo.release | 2017-07-27 | |