量子液体的莱特希尔方程
Lighthill equation for quantum liquids
摘要：
Lighthill方程起源于理论航空声学领域的量子版本的概率密度的超流体从时间依赖的Gross-Pitaevskii方程。它涉及二阶时间导数，并应补充两个时间边界条件。它的物理意义进行了讨论，量子平衡假设和玻恩规则的普遍适用性。
英文摘要：
A quantum version of the Lighthill equation that originated in the field of theoretical aeroacoustics is derived for the probability density of a superfluid starting from the time-dependent Gross-Pitaevskii equation. It involves a second-order time derivative and should be supplemented by two-time boundary conditions. Its physical implications are discussed in relation to the quantum equilibrium hypothesis and the general applicability of Born's rule.
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。
