倒谐振子相空间动力学的观测
Observation of Phase Space Dynamics of Inverted Harmonic Oscillator
AI总结：
研究利用表面重力水波的抛物形势垒与倒谐振子薛定谔方程的类比，研究不同能量量子力学波包在标志性散射模型中的传播，观测到相空间动力学分界线，区分不同能量波包的阻挡与传输，并测量了动量变化。
AI中文摘要：
我们通过实验实现了表面重力水波的抛物形势垒。由此产生的波动方程与倒谐振子（IHO）的薛定谔方程之间的类比，使我们能够在这个标志性散射模型中研究具有不同平均能量的量子力学波包的传播。我们观察到相空间动力学中有一个清晰的边界，即分界线，它将能量低于IHO势最大值的波包与能量高于它的波包区分开来。在前一种情况下，波包被阻挡，而在后一种情况下，它被传输。我们还测量了这个过程中动量的相应变化。
英文摘要：
We have experimentally realized a parabolic potential barrier for surface gravity water waves. The analogy between the resulting wave equation and the Schrodinger equation for the inverted harmonic oscillator (IHO) enables us to study the propagation of quantum-mechanical wave packets with different average energies in this iconic scattering model. We observe a clear boundary in the phase-space dynamics, namely the separatrix, which distinguishes wave packets with energies below the maximum of the IHO potential from those with energies above it. In the former case, the wave packet is blocked, whereas in the latter case, it is transmitted. We also measure the corresponding variation in momentum during this process.
