Derivation of the Euler Equations from Quantum Dynamics
数学物理
2009-11-07 v2 偏微分方程分析
math.MP
摘要
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.
引用
@article{arxiv.math-ph/0209027,
title = {Derivation of the Euler Equations from Quantum Dynamics},
author = {Bruno Nachtergaele and Horng-Tzer Yau},
journal= {arXiv preprint arXiv:math-ph/0209027},
year = {2009}
}
备注
63 pages; requires packages: amsmath, amsfonts, array, amscd; revised version as accepted for CMP