Derivation of the Euler Equations from Quantum Dynamics

Derivation of the Euler Equations from Quantum Dynamics
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量子动力学欧拉方程的推导

DOI:
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发表时间:
2002
期刊:
影响因子:
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通讯作者:
H. Yau
H. Yau
中科院分区:
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文献类型:
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作者:
B. Nachtergaele;H. Yau

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从量子动力学的角度推导了一类费米子多体系统的欧拉方程。我们做了两种假设。第一类是对给定初始数据的欧拉方程解的物理假设。第二类是关于费米子哈密顿量的统计力学和动力学的一些合理的猜想。
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.