Hydrodynamics for quasi-free quantum systems
Christian Maes, Wolfgang Spitzer
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. Keywords: Euler equation, quantum distribution function, hydrodynamic limit
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