Parametric Statistics of Individual Energy Levels in Random Hamiltonians

Details Parametric Statistics of Individual Energy Levels in Random Hamiltonians Parametric Statistics of Individual Energy Levels in Random Hamiltonians

2002-07-18

arxiv.org/abs/cond-mat/0207456v2

Phys. Rev. E 67, 025202(R) (2003)

Physics

Condensed Matter

5 pages; published version with typos corrected

Scientific paper

10.1103/PhysRevE.67.025202

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.

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