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Hartree Fock theory for Electron gas in the mean field regime

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dc.contributor.advisor Benedikter, Niels
dc.contributor.author MEHTA, RAVISH
dc.date.accessioned 2024-05-17T08:43:18Z
dc.date.available 2024-05-17T08:43:18Z
dc.date.issued 2024-05
dc.identifier.citation 53 en_US
dc.identifier.uri http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/8820
dc.description.abstract The goal of this thesis is to explore the Hartree Fock ground state energy in the mean field approximation under Coulomb interaction. It was earlier believed that free Fermi gas energy is the true ground state energy in Hartree Fock approximation but Overhauser showed that there exists a state with energy lower than free Fermi gas energy. The question we explore in this thesis is whether we can multiply Coulomb potential by a small constant such that for any interaction with coupling parameter less than this constant, free Fermi gas energy is the true ground state energy and any interaction with coupling parameter greater than this constant, there exists some other state with energy lower than free fermi gas energy. We were able to derive a partial result in this direction proving that there exists some small constant such that free fermi gas energy is the true ground state energy in Hartree Fock approximation. en_US
dc.description.sponsorship ERC Starting Grant FermiMath, nr. 101040991 en_US
dc.language.iso en en_US
dc.subject Research Subject Categories::MATHEMATICS en_US
dc.title Hartree Fock theory for Electron gas in the mean field regime en_US
dc.type Thesis en_US
dc.description.embargo No Embargo en_US
dc.type.degree BS-MS en_US
dc.contributor.department Dept. of Mathematics en_US
dc.contributor.department Dept. of Physics en_US
dc.contributor.registration 20191132 en_US


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  • MS THESES [1713]
    Thesis submitted to IISER Pune in partial fulfilment of the requirements for the BS-MS Dual Degree Programme/MSc. Programme/MS-Exit Programme

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