Derivation of the Euler Equations from Quantum Dynamics
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Derivation of the Euler Equations from Quantum Dynamics

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https://arxiv.org/pdf/math-ph/0209027.pdf
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Abstract

We derive the Euler equations from quantum dynamics for a class of fermionic many-body systems. We make two types of assumptions. The first type are physical assumptions on the solution of the Euler equations for the given initial data. The second type are a number of reasonable conjectures on the statistical mechanics and dynamics of the Fermion Hamiltonian.

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