论文标题
氢原子结合状态的光谱量度具有正分形尺寸
Hydrogen atom bound states whose spectral measures have positive upper fractal dimensions
论文作者
论文摘要
结果表明，贝尔一般而言，氢原子的哈密顿量的边界状态具有频谱度量，并具有$ 0 $ lower和$ 1/3 $ - upper的概括性分形尺寸；还讨论了与（弱形式的）沿正交基础的动态离域化的关系。这样的结果是哈密顿特征值分布的结果。
It is shown that, Baire generically, the bound states of the Hamiltonian of the Hydrogen atom have spectral measures with exact $0$-lower and $1/3$-upper generalized fractal dimensions; the relation to (a weak form of) dynamical delocalization along orthonormal bases is also discussed. Such result is a consequence of the distribution of the Hamiltonian eigenvalues.
