论文标题
在具有时间依赖的变异方法中，使用超跨波数据包进行屏障传输的考虑
Phase-space consideration on barrier transmission in a time-dependent variational approach with superposed wave packets
论文作者
论文摘要
时间依赖性平均场方法的已知局限性是缺乏用于集体运动（例如子势融合反应中的集体运动）的量子隧道。作为迈向解决方案的第一步，使用高斯波数据包的叠加来考虑时间依赖性模型，以描述两个碰撞核之间的相对运动，这可以简化为一个粒子在一个维度中的问题。在本文中，该模型如何通过注意相空间分布的时间演变来描述潜在的轰炸传播，这特别揭示了传入状态的自由传播的行为并不是微不足道的，取决于超级波动数据包的数量。由于与屏障高度上方的能量相对应的高弹药成分，因此可能发生在屏障上的通道，但是，这是经典性质的，并且需要与真实的量子隧道区分开。尽管在某些情况下，传输的波数据包最终可能会以低于屏障的速度低于屏障，但在保证各种出口通道的能量时（例如，例如分别测量传输和反射。要克服这些问题以描述量子隧穿仍然是一个具有挑战性的问题。本文主要以与纸质物理相同的模型处理相同的系统。 Lett。 B 808（2020）135693，ARXIV：2006.06944V1 N. Hasegawa，K。Hagino和Y. Tanimura。但是，本工作的结论与他们的快速结论不同意量子隧道的迅速结论。对此发表了评论。
A known limitation of time-dependent mean-field approaches is a lack of quantum tunneling for collective motions such as in sub-barrier fusion reactions. As a first step toward a solution, a time-dependent model is considered using a superposition of Gaussian wave packets, to describe the relative motion between two colliding nuclei, which may be simplified to a problem for one particle in one dimension. In this article, how the model describes the potential-barrier transmission is investigated by paying attention to the time evolution of the phase space distribution, which in particular reveals that the behavior of the free propagation of the incoming state is not trivial, depending on the number of superposed wave packets. Passage over the barrier can occur due to the high-momentum components in the incoming state corresponding to energies above the barrier height, which is, however, of classical nature and needs to be distinguished from the true quantum tunneling. Although a transmitted wave packet in some case may end up with an energy lower than the barrier, a difficulty is noticed in guaranteeing the energy conservation when the energies of different exit channels, e.g. of transmission and reflection, are individually measured. To overcome these issues for a description of quantum tunneling is still a challenging problem. This article mainly treats the same system with the same model as in the paper Phys. Lett. B 808 (2020) 135693, arXiv:2006.06944v1 by N. Hasegawa, K. Hagino and Y. Tanimura. However, the conclusion of the present work disagrees with their quick conclusion that quantum tunneling was simulated by the model. Comments are made on this.
