Laguerre Brown系综的本征函数统计
Eigenfunction statistics of Laguerre Brownian ensemble
摘要：
本文从理论上分析了一个厄米系综作为一个定态系综被另一个Laguerre型定态系综扰动的中间态时的本征函数涨落测度。类似于高斯平稳系综的扰动，这些措施经历了一个扩散动力学的扰动参数随着漂移由于水平排斥。拉盖尔情形的涨落的能量依赖性一般不同于高斯情形，但局部上它们可以用相同的数学形式表示。
英文摘要：
We theoretically analyze the eigenfunction fluctuation measures for a Hermitian ensemble which appears as an intermediate state of the perturbation of a stationary ensemble by another stationary ensemble of Laguerre type. Similar to the perturbation by a Gaussian stationary ensemble, the measures undergo a diffusive dynamics in terms of the pertubation parameter along with a drift due to level-repulsion. The energy-dependences of the fluctuations for the Laguerre case is in general different from the Gaussian case but locally they can be expressed in a same mathematical form.
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