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Tunneling Effect Based on N elson's Quantum Stochastic Process Approach -Estimation of Tunneling Time-

机译:基于纳尔逊量子随机过程方法的隧道效应 - 隧道开挖时间的估算 -

摘要

The problem of tunneling time associated with the passage of a particle through a tunneling barrier seems very simple. But it turns out to be very deceptive by the lack of a time operator and there is no clear consensus about simple expression for the tunneling time. In this paper we evaluate the tunneling time based on Nelson's quantum stochastic process approach. This approach describes the motion of a particle by a stochastic differentia1 equation and gives a sample paths. The ensemble of the paths reproduce the predictions given by ordinary quantum mechanics in an average. Each sample path has its own time dependent history, which enables us make a virtual quantum experiment. We formulate the tunneling time based on this approach and compare it with the Larmor time estimated from an experimental measurement of Larmor precession angles of tunneling neutrons.
机译:与粒子通过隧穿势垒相关的隧穿时间问题似乎非常简单。但是事实证明,由于缺少时间运算符,因此非常容易欺骗,并且对于隧道时间的简单表达尚无明确共识。在本文中,我们基于纳尔逊的量子随机过程方法评估隧穿时间。该方法通过随机微分方程描述粒子的运动并给出采样路径。路径的整体平均再现了普通量子力学给出的预测。每个样本路径都有其自己的时间相关历史,这使我们能够进行虚拟量子实验。我们基于这种方法制定了隧穿时间,并将其与根据隧道中子的拉莫旋进角的实验测量估算的拉莫尔时间进行了比较。

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