Universal eigenvector statistics in a quantum scattering ensemble

被引：17

作者：

Mehlig, B. ^{[1
]}

Santer, M. ^{[1
]}

机构：

[1] Theoretische Quantendynamik, Institut für Physik, Albert-Ludwigs Univ. Freiburg, Freiburg, Germany

来源：

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | 2001年 / 63卷 / 2 I期

关键词：

Approximation theory - Computer simulation - Correlation methods - Eigenvalues and eigenfunctions - Electron resonance - Green's function - Matrix algebra - Numerical analysis - Perturbation techniques - Quantum theory - Statistics;

D O I：

10.1103/PhysRevE.63.020105

中图分类号：

学科分类号：

摘要：

Eigenvector statistics were calculated for ensemble of non-Hermitian random matrices using Born approximation and numerical simulations. The position of the resonances was modeled by the real part of the eigenvalues and width by imaginary part. Eigenvector correlators were calculated in terms of averages of products of Green functions. The results found were of direct relevance for quantum scattering systems.

引用

页码：020105 / 020101