%0 Journal Article
%T Unitarity Schr dinger Equation and Ground State Properties of the Finite Trapped Superfluid Fermi Gases in a BCS-BEC Crossover<br>
%A ZHANG Wen-Yuan
%A WANG Cheng-Tao
%A MA Yong-Li
%A <br>
%J 中国物理快报
%D 2010
%I 
%X On the basis of quantum hydrodynamical equations we derive a unitarity Schr dinger equation of a finite trapped superfluid Fermi gas valid in the whole interaction regime from BCS superfluid to BEC. This equation is just the Ginzburg-Laudau-type equation for the fermionic Cooper pairs in the BCS side, the Gross-Pitaevskii-type equation for the bosonic dimers in the BEC side, and a unitarity equation for a strongly interacting Fermi superfluid in the unitarity limit. By taking a modified Gauss-like trial wave function, we solve the unitarity Schr dinger equation, calculate the energy, chemical potential, sizes and profiles of the ground-state condensate, and discuss the properties of the ground state in the entire BCS-BEC crossover regimes.
%K 03
%K 75
%K Ss
%K 67
%K 85
%K Bc<br>
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=E27DA92E19FE279A273627875A70D74D&aid=30EAC6A5AD73DB2FAF44BC3C09361C0A&yid=140ECF96957D60B2&vid=DB817633AA4F79B9&iid=E158A972A605785F&journal_id=0256-307X&journal_name=中国物理快报&referenced_num=0&reference_num=0