隧道掘进动力学中的时变相互作用
Time-dependent Interactions in Tunnelling Dynamics
摘要：
本文研究了含时微扰作用下粒子穿过势垒的隧穿。后者归因于散射粒子的能量测量过程。精确求解了模型的含时薛定谔方程。势垒内概率密度的计算证明，隧穿动力学不仅取决于透射波和反射波，而且还取决于它们的干涉。此外，干涉项是时间相关的，并且对散射过程持续时间有贡献。隧穿时间计算为阻挡层内概率密度流停止的时间。这是在检测到超出屏障的颗粒之前测量过程的最小持续时间。在此基础上，提出了一种通过能量实验测量来估算隧穿时间的新方法。
英文摘要：
In this paper, the tunnelling of a particle through a potential barrier is investigated in the presence of a time-dependent perturbation. The latter is attributed to the process of the energy measurement of the scattered particle. The time-dependent Schrodinger equation of the model is exactly solved. The calculation of the probability density inside the barrier proves that the tunnelling dynamics is determined not only by the transmitted and reflected waves but also by their interference. Furthermore, the interference term is time-dependent and contribute to the scattering process duration. The tunnelling time is calculated as the time to stop the flow of probability density inside the barrier. This is the minimum duration of the measurement process before detecting the particle beyond the barrier. Based on this, a new method of estimating the tunnelling time by energy experimental measuring is proposed.
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