论文标题
远程相互作用用于晶格费米和量子自旋产生的经典动力学
Classical Dynamics Generated by Long-Range Interactions for Lattice Fermions and Quantum Spins
论文作者
论文摘要
我们研究具有远距离或均值相互作用的费米和量子旋转系统的宏观动力学特性。获得的结果远远超出了以前的结果，需要开发数学框架以适应宏观的远程动力学，这对应于经典和短距离量子动力学的复杂组合。在本文中，我们专注于远程或均值宏观动力学的经典部分，但我们已经引入了完整的框架。在随后的论文中研究了宏观动力学的量子部分。我们表明，宏观动力学的经典部分是由（量子）状态空间内的自洽方程引起的。与往常一样，经典动态是由liouville的方程式驱动的。
We study the macroscopic dynamical properties of fermion and quantum-spin systems with long-range, or mean-field, interactions. The results obtained are far beyond previous ones and require the development of a mathematical framework to accommodate the macroscopic long-range dynamics, which corresponds to an intricate combination of classical and short-range quantum dynamics. In this paper we focus on the classical part of the long-range, or mean-field, macroscopic dynamics, but we already introduce the full framework. The quantum part of the macroscopic dynamics is studied in a subsequent paper. We show that the classical part of the macroscopic dynamics results from self-consistency equations within the (quantum) state space. As is usual, the classical dynamics is driven by Liouville's equation.
