论文标题
边缘的量子系统
Quantum Systems at The Brink
论文作者
论文摘要
我们提出了一种计算Schrödinger操作员本征函数的渐近行为的方法，该行为也在必需频谱的阈值下起作用。它可以看作是对众所周知的WKB方法的高阶校正，该方法确实需要与基本频谱的安全距离。我们说明了它在潜在井中的量子颗粒示例中的实用性，其井外的远程排斥术语。
We present a method to calculate the asymptotic behavior of eigenfunctions of Schrödinger operators that also works at the threshold of the essential spectrum. It can be viewed as a higher order correction to the well-known WKB method which does need a safety distance to the essential spectrum. We illustrate its usefulness on examples of quantum particles in a potential well with a long-range repulsive term outside the well.
