量子动力学中的不可分离波动演化方程
Non-separable wave evolution equations in quantum kinetics
AI总结：
本文从可分离动力学方程推导出维格纳分布函数的不可分离波动积分微分方程，揭示非局域色散、复群速度及熵产生等非幺正效应，并导出预测四极量子效应的非局域波动方程，扩展至玻色子标量场。
摘要：
从相应的可分离动力学方程中，推导出相空间中维格纳分布函数时间演化的不可分离波动型积分微分方程。研究表明，该方程会导致非局域色散效应，可能涉及复群速度，并表现出非幺正特征，如熵产生。通过采用量子流体动力学描述，将哈密顿-雅可比方程与连续性方程综合，还推导出一个非局域演化波动方程，该方程预测了空间概率密度传播中四极量子效应的产生。此外，还提出了该形式体系对玻色子标量场的扩展，并简要评论了不可逆性问题。
英文摘要：
A non-separable wave-like integro-differential equation for the time evolution of the Wigner distribution function in phase space is educed from the corresponding separable kinetic equation. It is shown that it leads to non-local dispersion effects that may involve complex group velocities and also display non-unitary features as entropy production. By employing the quantum hydrodynamical description a non-local evolution wave equation is also derived by synthesizing the Hamilton-Jacobi equation with that of continuity, which predicts the generation of quadrupole quantum effects in the propagation of the spatial probability density. Extension of the formalism for a boson scalar field is also presented along with a brief commentary on the issue of irreversibility.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
