标题： 量子不等式与奇异能量密度 显示英文标题

标题： Quantum Inequalities and Singular Energy Densities

摘要： 近期关于量子不等式的许多工作旨在限制负能量的影响。这些是对负能密度或通量的大小和持续时间的一种不确定性原理型限制。我们考虑了几种量子不等式似乎失效的情况，这些情况涉及观察者通过负能密度变为奇异的区域。我们认为这种情形需要使用具有紧支集的抽样函数来制定量子不等式。我们讨论了这类不等式，并认为即使在存在奇异能量密度的情况下，它们仍然有效。 显示英文摘要

摘要： There has been much recent work on quantum inequalities to constrain negative energy. These are uncertainty principle-type restrictions on the magnitude and duration of negative energy densities or fluxes. We consider several examples of apparent failures of the quantum inequalities, which involve passage of an observer through regions where the negative energy density becomes singular. We argue that this type of situation requires one to formulate quantum inequalities using sampling functions with compact support. We discuss such inequalities, and argue that they remain valid even in the presence of singular energy densities.