Abstract
We consider quasi-free quantum systems and we derive the Euler equation using the so-called hydrodynamic limit. We use Wigner's well-known distribution function and discuss an extension to band distribution functions for particles in a periodic potential. We investigate the bosonic system of hard rods and calculate fluctuations of the density.
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Maes, C., Spitzer, W. Hydrodynamics for Quasi-Free Quantum Systems. Journal of Statistical Physics 94, 893–912 (1999). https://doi.org/10.1023/A:1004535100763
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DOI: https://doi.org/10.1023/A:1004535100763