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

G. G. N. Angilella·N. H. March·R. Pucci
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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.

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G. G. N. Angilella, N. H. March, R. Pucci. 2004-03-19. Integral equation for inhomogeneous condensed bosons generalizing the Gross-Pitaevskii differential equation. https://doi.org/10.1103/physreva.69.055601

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