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Correlation effects in the one-dimensional Bose gas

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Zeitschrift für Physik B Condensed Matter

Abstract

We discuss interaction effects for the one-dimensional Bose gas with a repulsive delta-function interaction potential. We use the random-phase approximation and a finite local-field correction. Analytical results are given for the local-field correction, the pair-correlation function and the ground-state energy. The groundstate energy is found to be in much better agreement with the exact result than the ground-state energy calculated within the Bogoliubov approximation, where local-field corrections are neglected.

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  1. Laboratoire de Physique des Solides, Université Paul Sabatier, 118 Route de Narbonne, F-31062, Toulouse, France

    A. Gold

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  1. A. Gold
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Gold, A. Correlation effects in the one-dimensional Bose gas. Z. Physik B - Condensed Matter 91, 397–401 (1993). https://doi.org/10.1007/BF01344069

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  • DOI: https://doi.org/10.1007/BF01344069

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