论文标题
波动量子动力学理论
Fluctuating Quantum Kinetic Theory
论文作者
论文摘要
我们考虑了Fermions系统的量子Langevin动力学方程。我们首先从一般考虑中得出了Landau的费米 - 液体动力学理论中Langevin力噪声相关的功能。然后，我们使用结果方程来计算低温下无碰撞状态中的平衡动态结构因子。结果与常规的多体结果一致。然后，我们使用该理论来得出量子流体的波动Navier-Stokes方程，又是在存在淬灭疾病的情况下的费米子的波动流体动力方程。我们还讨论了波动流体力方程所需的修改，以描述具有长期相互作用的电子流体，并且我们证明了非线性兰道动力学方程的H理论。
We consider a quantum Langevin kinetic equation for a system of fermions. We first derive the Langevin force noise correlation functions in Landau's Fermi-liquid kinetic theory from general considerations. We then use the resulting equation to calculate the equilibrium dynamic structure factor in the collisionless regime at low temperatures. The result is in agreement with the conventional many-body result. We then use the theory to derive both the fluctuating Navier-Stokes equations for a quantum fluid and the fluctuating hydrodynamic equations for fermions in the presence of quenched disorder. We also discuss the modifications needed for the fluctuating hydrodynamic equations to describe an electron fluid with long-ranged interactions, and we prove an H-theorem for the nonlinear Landau kinetic equation.
