Shifts of Random Energy Levels by a Local Perturbation

Details Shifts of Random Energy Levels by a Local Perturbation Shifts of Random Energy Levels by a Local Perturbation

1997-12-02

arxiv.org/abs/cond-mat/9712020v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages

Scientific paper

10.1103/PhysRevLett.80.814

We consider the effect of a local perturbation on the energy levels of a
system described by random matrix theory. An analytic expression for the joint
distribution function of initial and final energy levels is obtained. In the
case of unitary ensemble we also find the two-point correlation function of
initial and final densities of states.

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