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International Journal of Modern Physics B

DEGENERATE GASES UNDER HARMONIC CONFINEMENT IN ONE DIMENSION: RIGOROUS RESULTS IN THE IMPENETRABLE-BOSONS/SPIN-POLARIZED-FERMIONS LIMIT

Patrizia Vignolo, Anna Minguzzi, M. P. Tosi

Published Jun 30, 2002• 5 citations
Publisher

Abstract

Developments in the realization and study of ultracold atomic gases inside elongated magnetic traps and atom waveguides have stimulated calculations of equilibrium properties and excitation spectra for mesoscopic clouds of hard-core bosons and of spin-polarized fermions moving under an external harmonic potential in one dimension. A rigorous correspondence exists between the wave functions of these two types of system, allowing a number of exact results to be obtained. The main theoretical techniques and results are reviewed in this article, with emphasis on their relevance in regard to tests of the Thomas–Fermi approximation for confined Fermi fluids and to the foundations of density functional theory for inhomogeneous quantum systems.

DOI
10.1142/s0217979202011482

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