One-dimensional Quantum Fluids

Miguel A. Cazalilla, Andrew Fu Wah Ho

Yanqi Wang, Joel E. Moore

F. D. M. Haldane

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.

Alberto Bramati, Michele Modugno

Kennard Callender

An interpretation of quantum mechanics is formulated based on the hypothesis that physical space is a four-dimensional incompressible inviscid fluid. This hypothesis is used to derive the one-dimensional Schrödinger equation from the equations for two-dimensional incompressible irrotational inviscid fluid flow.