高能级密度量子系统中复平面上的分支点与信息损失
Branch points in the complex plane and information loss in quantum systems at high level density
摘要：
研究了量子系统中避免能级交叉的机制。它可以追溯到复平面中的分支点的存在，这些分支点影响共振态以及离散态的性质。避免两个态的能级交叉不仅导致两个波函数的交换，而且最重要的是，导致它们之间的相关性。关联在高能级密度下起着重要的作用，因为它们会导致关于态的个体属性的信息的丢失。
英文摘要：
The mechanism of avoided level crossings in quantum systems is studied. It is traced back to the existence of branch points in the complex plane which influence the properties of resonance states as well as of discrete states. An avoided level crossing of two states causes not only an exchange of the two wave functions but, above all, correlations between them. The correlations play an important role at high level density since they cause the loss of information on the individual properties of the states.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
