Ground state of interacting many boson systems: An approach based on natural orbitals

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dc.authorscopusid36993676200
dc.authorscopusid8546091900
dc.contributor.authorAkbaş, Hatice Z.
dc.contributor.authorAtav, Ülfet
dc.date.accessioned2024-09-19T15:41:16Z
dc.date.available2024-09-19T15:41:16Z
dc.date.issued2010
dc.departmentHatay Mustafa Kemal Üniversitesien_US
dc.descriptionNational and Kapodistrian University of Athens; University of Crete; University of Ioannina; University of Patras; Aristotelian University of Thessalonikien_US
dc.description7th International Conference of the Balkan Physical Union -- 9 September 2009 through 13 September 2009 -- Alexandroupolis -- 79345en_US
dc.description.abstractWe have developed an alternative approach to investigate the ground state properties of many boson systems with interactions in a harmonic trap. The method is inspired, and to some extent similar to the Kohn-Sham formulation of the density functional theory. The method is applied to a model many boson system to obtain the ground state properties of the system. We give a description of a many boson system within the second quantization formalism. We employ the natural orbitals to describe the ground state of the system. We represent the natural orbitals as an expansion in terms of a complete set. We obtain the expansion coefficients by minimizing the total energy. We apply the proposed method to a model system of interacting bosons. The results are compared with the results obtained from Gross-Pitaevskii equations which are widely used to describe Bose-Einstein Condensation. Also we compare our results with the Monte Carlo simulation results found in the literature. The agreement of our results with the results of Gross-Pitaevskii equations establishes the feasibility and accuracy of the method. © 2009 American Institute of Physics.en_US
dc.identifier.doi10.1063/1.3322509
dc.identifier.endpage60en_US
dc.identifier.isbn978-073540740-4
dc.identifier.issn1551-7616
dc.identifier.scopus2-s2.0-76949109389en_US
dc.identifier.scopusqualityQ4en_US
dc.identifier.startpage55en_US
dc.identifier.urihttps://doi.org/10.1063/1.3322509
dc.identifier.urihttps://hdl.handle.net/20.500.12483/14134
dc.identifier.volume1203en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.relation.ispartofAIP Conference Proceedingsen_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBose-Einstein Condensationen_US
dc.subjectComputer modeling and simulationen_US
dc.subjectDensity functional theoryen_US
dc.titleGround state of interacting many boson systems: An approach based on natural orbitalsen_US
dc.typeConference Objecten_US

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