Derivation of the Euler Equations from Quantum Dynamics

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.

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

References in corpus (2)

• Large deviations in rarefied quantum gases
• Derivation of the Euler equations from many-body quantum mechanics

Cited by in corpus (5)

• On local quantum Gibbs states
• Derivation of Euler equations from quantum and classical microscopic dynamics
• On the mean-field and semiclassical limit from quantum $N$-body dynamics
• Entropy minimization for many-body quantum systems
• Local Thermodynamic Equilibrium at Three Levels