Ground State of Interacting Many Boson Systems: An Approach Based On Natural Orbitals

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dc.contributor.authorAkbaş, Hatice Zehra
dc.contributor.authorAtav, Ülfet
dc.date.accessioned2020-03-26T17:38:48Z
dc.date.available2020-03-26T17:38:48Z
dc.date.issued2009
dc.departmentSelçuk Üniversitesien_US
dc.description7th International Conference of the Balkan-Physical-Union -- SEP 09-13, 2009 -- Alexandroupolis, GREECEen_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 methoden_US
dc.description.sponsorshipBalkan Phys Union, Helen Phys Soc, Univ Crete, Univ Athens, Univ Ioannina, Univ Petras, Univ Thessaloniki, TEAK, Prefecture Evros, Reg Adm Eastern Macedonia & Thraceen_US
dc.identifier.endpage+en_US
dc.identifier.isbn978-0-7354-0740-4
dc.identifier.issn0094-243Xen_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage55en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12395/23579
dc.identifier.volume1203en_US
dc.identifier.wosWOS:000281467300011en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherAMER INST PHYSICSen_US
dc.relation.ispartof7TH INTERNATIONAL CONFERENCE OF THE BALKAN PHYSICAL UNION VOLS 1 AND 2en_US
dc.relation.ispartofseriesAIP Conference Proceedings
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectBose-Einstein condensationen_US
dc.subjectdensity functional theoryen_US
dc.subjectcomputer modeling and simulationen_US
dc.titleGround State of Interacting Many Boson Systems: An Approach Based On Natural Orbitalsen_US
dc.typeConference Objecten_US

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