Localization and spectral statistics in a banded random matrix ensemble
Localization and spectral statistics in a banded random matrix ensemble
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带状随机矩阵系综中的定位和光谱统计
DOI：
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发表时间：
1991
期刊：
影响因子：
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通讯作者：
D. Leitner
中科院分区：
文献类型：
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作者：
M. Wilkinson;M. Feingold;D. Leitner
我们研究带状随机矩阵系综特征向量的局部化特性，其中对角矩阵元素沿对角线增加。我们将结果与当参数变化时观察到的光谱统计中的转变联系起来，并讨论该模型与混沌哈密顿系统的量子力学的相关性。
We investigate the localization properties of the eigenvectors of a banded random matrix ensemble, in which the diagonal matrix elements increase along the diagonal. We relate the results to a transition in the spectral statistics which is observed as a parameter is vaned, and discuss the relevance of this model to the quantum mechanics of chaotic Hamiltonian systems.