光谱测度具有正上分形维数的氢原子束缚态
Hydrogen atom bound states whose spectral measures have positive upper fractal dimensions
摘要:
它表明,Baire一般,束缚态的氢原子的哈密顿量的光谱措施与精确的$0$ -下和$1/3$ -上广义分形维数;(弱形式)的动力学离域沿正交基的关系也进行了讨论。这样的结果是哈密尔顿本征值分布的结果。
英文摘要:
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.
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