Integral equation for inhomogeneous condensed bosons generalizing the Gross-Pitaevskii differential equation
arXiv:cond-mat/0403514 · doi:10.1103/PhysRevA.69.055601
Abstract
We give here the derivation of a Gross-Pitaevskii--type equation for inhomogeneous condensed bosons. Instead of the original Gross-Pitaevskii differential equation, we obtain an integral equation that implies less restrictive assumptions than are made in the very recent study of Pieri and Strinati [Phys. Rev. Lett. 91 (2003) 030401]. In particular, the Thomas-Fermi approximation and the restriction to small spatial variations of the order parameter invoked in their study are avoided.
Phys. Rev. A (accepted)