Quantum-classical correspondence for the inverted oscillator
Quantum-classical correspondence for the inverted oscillator
复制标题
倒置振荡器的量子经典对应
DOI：
10.1088/1674-1137/41/11/113106
复制
发表时间：
2017
影响因子：
3.6
通讯作者：
Jeong Ryeol Choi
中科院分区：
文献类型：
--
作者：
M. Maamache;Jeong Ryeol Choi
虽然系统的量子-经典对应是现代物理学中一个非常基本的问题，但对其机制的理解往往难以捉摸，因此所使用的方法和详细的理论分析结果一直伴随着激烈的辩论。在描述完整的广义艾里函数型量子波解的基础上，分析了倒置振子的量子行为与经典行为的异同。倒置振子模型在宇宙学和粒子物理学的几个分支中扮演着重要的角色。系统的量子波包是由多个子包组成的，这些子包分布在不同的位置，它们之间的间隔是规则的。从概率密度的图解可以看出，虽然波传播的量子轨迹与相应的经典轨迹略有不同，但当经典激发足够高时，这种差异变得相对较小。我们已经证实，沿着正负方向移动的量子波包会像经典波一样，随着时间的推移而加速。从正文中的这些主要解释和其他解释中，我们得出结论，我们的理论巧妙地解释了该系统的量子对应和经典对应，这是量子力学中的一个关键概念。
While quantum-classical correspondence for a system is a very fundamental problem in modern physics, the understanding of its mechanism is often elusive, so the methods used and the results of detailed theoretical analysis have been accompanied by active debate. In this study, the differences and similarities between quantum and classical behavior for an inverted oscillator have been analyzed based on the description of a complete generalized Airy function-type quantum wave solution. The inverted oscillator model plays an important role in several branches of cosmology and particle physics. The quantum wave packet of the system is composed of many sub-packets that are localized at different positions with regular intervals between them. It is shown from illustrations of the probability density that, although the quantum trajectory of the wave propagation is somewhat different from the corresponding classical one, the difference becomes relatively small when the classical excitation is sufficiently high. We have confirmed that a quantum wave packet moving along a positive or negative direction accelerates over time like a classical wave. From these main interpretations and others in the text, we conclude that our theory exquisitely illustrates quantum and classical correspondence for the system, which is a crucial concept in quantum mechanics.