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Parametric statistics of individual energy levels in random Hamiltonians

I. E. Smolyarenko and B. D. Simons
Phys. Rev. E 67, 025202(R) – Published 10 February 2003
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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 intralevel parametric velocity correlation function and the distribution of level shifts under the influence of an arbitrary external perturbation.

  • Received 18 July 2002

DOI:https://doi.org/10.1103/PhysRevE.67.025202

©2003 American Physical Society

Authors & Affiliations

I. E. Smolyarenko and B. D. Simons

  • Cavendish Laboratory, University of Cambridge, Madingley Road, Cambridge CB3 0HE, United Kingdom

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Vol. 67, Iss. 2 — February 2003

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