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Hydrodynamics for quasi-free quantum systems

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. Keywords: Euler equation, quantum distribution function, hydrodynamic limit

preprint1998arXivOpen access
Christian MaesWolfgang Spitzer
cond-mat.stat-mech
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Christian MaesWolfgang Spitzer

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