Parametric Statistics of Individual Energy Levels in Random Hamiltonians
Condensed Matter
2009-11-07 v2 Mathematical Physics
math.MP
Chaotic Dynamics
Abstract
We establish a general framework to explore parametric statistics of individual energy levels in disordered and chaotic quantum systems of unitary symmetry. The method is applied to the calculation of the universal intra-level parametric velocity correlation function and the distribution of level shifts under the influence of an arbitrary external perturbation.
Cite
@article{arxiv.cond-mat/0207456,
title = {Parametric Statistics of Individual Energy Levels in Random Hamiltonians},
author = {I. E. Smolyarenko and B. D. Simons},
journal= {arXiv preprint arXiv:cond-mat/0207456},
year = {2009}
}
Comments
5 pages; published version with typos corrected