论文标题
谐波振荡器在相空间中的扩展Wigner函数
Extended Wigner function for the harmonic oscillator in the phase space
论文作者
论文摘要
在这项工作中，已经获得了量子谐波振荡器的新依赖性Wigner函数。谐波振荡器的Moyal方程已显示为相位平面中2D膜的波方程。 Wigner函数的值等于膜表面与平衡状态的偏差值。 Wigner函数的正值和负值对应于偏离平衡状态的方向。例如，考虑了与相位平面中出现的准概率密度的常驻波相对应的时间依赖性的Wigner函数。
New time dependent Wigner functions for the quantum harmonic oscillator have been obtained in this work. The Moyal equation for the harmonic oscillator has been presented as the wave equation of a 2D membrane in the phase plane. The values of the Wigner function are equal to the deviation values of the points on the surface of the membrane from the equilibrium state. The positive and negative values of the Wigner function correspond to the direction of the deviation from the equilibrium state. As an example, a time dependent Wigner function corresponding to the standing wave of quasi-probability density arising in the phase plane is considered.
