论文标题
量子粒子的加速和减速
Speed-up and slow-down of a quantum particle
论文作者
论文摘要
我们研究一维ECKART电位，障碍物或井中高斯波数据包的非相关主义传播。在所使用的图片中，传输的波包是由于散射电位引起的，X'的自由传播状态的副本之间的干扰是由于干扰的。不确定性原理排除了将粒子的最终位置与电势中经历的延迟相关的，除了经典极限。超出此限制，由于相应振幅分布的振荡性质，即使定义有效的延迟范围也是不切实际的任务。我们的示例包括经典的案例，半经典隧道，在存在虚拟状态下引起的延迟以及低屏障散射。详细研究了延迟的振幅分布及其杆表示的属性。
We study non-relativistic propagation of Gaussian wave packets in one-dimensional Eckart potential, a barrier, or a well. In the picture used, the transmitted wave packet results from interference between the copies of the freely propagating state with different spatial shifts (delays), x', induced by the scattering potential. The Uncertainty Principle precludes relating the particle's final position to the delay experienced in the potential, except in the classical limit. Beyond this limit, even defining an effective range of the delay is shown to be an impracticable task, owing to the oscillatory nature of the corresponding amplitude distribution. Our examples include the classically allowed case, semiclassical tunnelling, delays induced in the presence of a virtual state, and scattering by a low barrier. The properties of the amplitude distribution of the delays, and its pole representation are studied in detail.
