二维抛物型势垒定常流动
Stationary Flows of the Parabolic Potential Barrier in Two Dimensions
摘要：
在二维各向同性抛物势垒$V(x, y)=V_0 -mγ^2 (x^2+y^2)/2$中，虽然它是量子力学中不稳定系统的模型，但我们可以得到对应于实能量本征值$V_0$的定态。此外，它们是无限退化的。对于前几个本征态，我们将找到绕直角的定常流，它由复速度势$W=\pmγz^2/2$表示。
英文摘要：
In the two-dimensional isotropic parabolic potential barrier $V(x, y)=V_0 -mγ^2 (x^2+y^2)/2$, though it is a model of an unstable system in quantum mechanics, we can obtain the stationary states corresponding to the real energy eigenvalue $V_0$. Further, they are infinitely degenerate. For the first few eigenstates, we will find the stationary flows round a right angle that are expressed by the complex velocity potentials $W=\pmγz^2/2$.
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