Derivation of the Euler Equations from Quantum Dynamics

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

2002-09-13

arxiv.org/abs/math-ph/0209027v2

Commun. Math. Phys., 243 (2003) 485-540

Physics

Mathematical Physics

63 pages; requires packages: amsmath, amsfonts, array, amscd; revised version as accepted for CMP

Scientific paper

10.1007/s00220-003-0980-8

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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