We study the sensitivity of energy eigenstates to small perturbation in quantum integrable and chaotic systems. It is shown that the distribution of rescaled components of perturbed states in unperturbed basis exhibits qualitative difference in these two types of systems: being close to the Gaussian form in quantum chaotic systems, while, far from the Gaussian form in integrable systems.

中文翻译：

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量子可积和混沌系统中能量本征态对扰动的敏感性。

我们研究了能量本征态对量子可积和混沌系统中微扰的敏感性。结果表明，在这两种类型的系统中，扰动态的重标分量的分布在两种类型的系统中都表现出质的差异：在量子混沌系统中接近高斯形式，而在可积系统中则远离高斯形式。