衰减态的稳定化与量子涡旋
Stabilization of decaying states and quantum vortices
摘要：
本文分析了电子在零程吸引势以及外加磁场和电场作用下运动的二维模型。我们通过数值研究证明，存在这样的共振，它表现出对电场强度的特殊依赖性，即，虽然电场增加，但是这些共振态的寿命增长。据解释，这种现象，称为进一步\textit{the stabilization}，是一个密切的后果\textit{quantum-mechanical vortices}的磁场诱导和控制的电场强度。为了得到更多的信息，这些涡波函数的相位以及这些稳定的共振的概率流进行了研究。
英文摘要：
A two-dimensional model of an electron moving under the influence of an attractive zero-range potential as well as external magnetic and electric fields is analyzed. We prove by numerical investigations that there are formed such resonances which manifest a peculiar dependance on the electric field intensity, i.e., although the electric field increases, the lifetime of these resonance states grows up. It is explained that this phenomenon, called further \textit{the stabilization}, is a close consequence of \textit{quantum-mechanical vortices} induced by the magnetic field and controlled by the electric field strength. In order to get more information about these vortices the phase of wavefunctions as well as the probability current for these stable resonances are investigated.
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