Parametric statistics of individual energy levels in random Hamiltonians

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 intralevel parametric velocity correlation function and the distribution of level shi...

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Bibliographic Details
Published in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2003-02, Vol.67 (2 Pt 2), p.025202-025202
Main Authors: Smolyarenko, I E, Simons, B D
Format: Article
Language:English
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Summary: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 intralevel parametric velocity correlation function and the distribution of level shifts under the influence of an arbitrary external perturbation.
ISSN:1539-3755
DOI:10.1103/PhysRevE.67.025202