Abstract:
Properties of a mixture of bosons and fermions at low temperature have been studied when the mixture is enclosed in a trap. Gross-Pitaevskii mean field equation for the boson distribution in the trap is solved by utilizing Thomas-Fermi Approximation to extract the density profile of the fermion and boson components. The results show that the Fermi gas will constitute a core enclosed by the Bose condensate when the bosonfermion interaction strength( ) is less than the boson-boson interaction strength(𝑔) i.e. < 𝑔. For = 𝑔, the fermions have a constant spatial density where the bosons are localized and thus both condensates co-exist simultaneously. For > 𝑔, fermions constitute a shell around a core of Bose condensate