Adhikari, Sadhan Kumar [UNESP]Salasnich, L.2013-09-302014-05-202013-09-302014-05-202009-02-06New Journal of Physics. Bristol: Iop Publishing Ltd, v. 11, p. 19, 2009.1367-2630http://hdl.handle.net/11449/24490In the case of tight transverse confinement (cigar-shaped trap), the three-dimensional (3D) nonlinear Schrodinger equation, describing superfluid Fermi atoms at unitarity (infinite scattering length vertical bar a vertical bar -> infinity), is reduced to an effective 1D form by averaging over the transverse coordinates. The resultant effective equation is a 1D nonpolynomial Schrodinger equation, which produces results in good agreement with the original 3D one. In the limit of small and large fermion numbers N, the nonlinearity is of simple power-law type. A similar reduction of the 3D theory to a 2D form is also performed for a tight axial confinement (disc-shaped trap). The resultant effective 2D nonpolynomial equation also produces results in agreement with the original 3D equation and has simple power-law nonlinearity for small and large N. For both cigar- and disc-shaped superfluids, our nonpolynomial Schrodinger equations are quite attractive for phenomenological applications.19engArtigo10.1088/1367-2630/11/2/023011WOS:000263104900001Acesso abertoWOS000263104900001.pdf8031087349809439