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Parametric Statistics of Individual Energy Levels in Random Hamiltonians

I. E. Smolyarenko·B. D. Simons
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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.

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I. E. Smolyarenko, B. D. Simons. 2003-03-24. Parametric Statistics of Individual Energy Levels in Random Hamiltonians. https://doi.org/10.1103/physreve.67.025202

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