Browsing by Author "Erdemir, E."

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    q-Gaussian trial function in high density Bose-Einstein condensates
    (Elsevier Science B.V., 2003) Erdemir, E.; Tanatar, Bilal
    We study the ground-state static properties of Bose-Einstein condensates in the high density regime using a trial wave function of the form of a q-Gaussian. The flexibility afforded by a q-Gaussian trial function yields very accurate ground-state energies for large number of particles. The resulting condensate wave function profiles are also in good agreement in the high density regime. Comparing our results with those of numerical calculations we provide information on the possible limitations of the q-Gaussian trial functions.
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    Two-dimensional boson-fermion mixtures in harmonic traps
    (Elsevier Science B.V., 2003) Tanatar, Bilal; Erdemir, E.
    The density profiles of bosonic and fermionic components in a system of trapped two-dimensional (2D) boson-fermion (BF) mixture are studied. We employ the variational approach to minimize the total energy functional of the BF mixture subject to the conservation of particle numbers of the species. We consider repulsive interactions between bosons and investigate the repulsive and attractive interactions between bosons and fermions. Our results are qualitatively similar to those in 3D, despite the fact that the structure of equations in 2D are different.