论文标题
当地随机哈密顿人的范围
The spectrum of local random Hamiltonians
论文作者
论文摘要
所谓的$ε$ - 无当地术语的概率分布的$ε$ - $ free卷积可以一致地表示局部随机哈密顿量的频谱。我们建立了$ε$ - 纳入分区和研究其频谱的排列之间的同构。此外，我们为哈密顿量最大的特征值提供了一些下限和上限。
The spectrum of a local random Hamiltonian can be represented generically by the so-called $ε$-free convolution of its local terms' probability distributions. We establish an isomorphism between the set of $ε$-noncrossing partitions and permutations to study its spectrum. Moreover, we derive some lower and upper bounds for the largest eigenvalue of the Hamiltonian.
