论文标题
krylov-fock non-escape概率的假真空的平均寿命
Mean lifetime of a false vacuum in terms of the Krylov-Fock non-escape probability
论文作者
论文摘要
非纪念（或生存）概率的Krylov-fock表达，它允许评估与指数衰减定律的偏差（如今在实验上建立了良好），因为它很容易作为随机数量提供生命周期的分布函数。在描述核α衰减的良好形式主义的指导下，我们使用此分布函数来找出寿命及其波动率的平均值。这个理论框架引起了极大的兴趣，因为它允许实验验证。接下来，我们将Krylov-fock方法应用于在热场动力学框架中在有限温度下的亚稳态衰减。与现有的形式主义相反，这种方法显示了来自不同亚稳态状态以及隧道与障碍物跳跃之间的隧道之间的干扰效应。在一致的量子机械描述的框架中，这种效果看起来很自然，这是“双缝实验”的表现。最后，我们讨论了获得的结果的现场理论应用。
The Krylov-Fock expression of non-decay (or survival) probability, which allows to evaluate the deviations from the exponential decay law (nowadays well established experimentally), is more informative as it readily provides the distribution function for the lifetime as a random quantity. Guided by the well established formalism for describing nuclear alpha decay, we use this distribution function to figure out the mean value of lifetime and its fluctuation rate. This theoretical framework is of considerable interest inasmuch as it allows an experimental verification. Next, we apply the Krylov-Fock approach to the decay of a metastable state at a finite temperature in the framework of thermo-field dynamics. In contrast to the existing formalism, this approach shows the interference effect between the tunnelings from different metastable states as well as between the tunneling and the barrier hopping. This effect looks quite natural in the framework of consistent quantum mechanical description as a manifestation of the "double-slit experiment". In the end we discuss the field theory applications of the results obtained.
