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Effective Harmonic-Fluid Approach to Low-Energy Properties of One-Dimensional Quantum Fluids

F. D. M. HaldaneDepartment of Physics, University of Southern California, Los Angeles, California 90007, and Institut Laue-Langevin, F-38042 Grenoble-Cedex, France
1981en
ABI

Abstract

A universal description of the low-energy properties of one-dimensional quantum fluids, based on a harmonic theory of long-wavelength density fluctuations with use of renormalized parameters, is outlined. The structure of long-distance correlations of a spinless fluid is obtained, showing the essential similarity of one-dimensional Bose and Fermi fluids. The results are illustrated by application to the one-dimensional Bose fluid with $\ensuremath{\delta}$-function interaction.

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