The Liouville–von Neumann equation describes the change in the density matrix with time. Interestingly, this equation was recently regarded as a wave equation for wave functions but not as an equation for density functions. This setting leads to an extended form of the Schrodinger wave equation governing the motion of a quantum particle. In this paper, we obtain the integrability of the wave propagator arising from the Liouville–von Neumann equation in this setting.

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关于由 Liouville-von Neumann 方程产生的波传播器的可积性

Liouville-von Neumann 方程描述了密度矩阵随时间的变化。有趣的是，这个方程最近被认为是波函数的波动方程，而不是密度函数的方程。这种设置导致了控制量子粒子运动的薛定谔波动方程的扩展形式。在本文中，我们获得了在这种情况下由 Liouville-von Neumann 方程产生的波传播器的可积性。