Integral equation for inhomogeneous condensed bosons generalizing the Gross-Pitaevskii differential equation

Details Integral equation for inhomogeneous condensed bosons generalizing the Gross-Pitaevskii differential equation Integral equation for inhomogeneous condensed bosons generalizing the Gross-Pitaevskii differential equation

2004-03-19

arxiv.org/abs/cond-mat/0403514v1

Phys. Rev. A 69 (2004) 055601

Physics

Condensed Matter

Soft Condensed Matter

Phys. Rev. A (accepted)

Scientific paper

10.1103/PhysRevA.69.055601

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.

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