Parametric Statistics of Individual Energy Levels in Random Hamiltonians
arXiv:cond-mat/0207456 · doi:10.1103/PhysRevE.67.025202
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.
5 pages; published version with typos corrected
References in corpus (5)
- The Statistical Theory of Quantum Dots
- Quantum Effects in Coulomb Blockade
- Vicious Random Walkers and a Discretization of Gaussian Random Matrix Ensembles
- Terrace-Width Distributions and Step-Step Repulsions on Vicinal Surfaces: Symmetries, Scaling, Simplifications, Subtleties, and Schrödinger
- Parametric spectral correlations in disordered and chaotic structures
Cited by in corpus (4)
- Departure of some parameter-dependent spectral statistics of irregular quantum graphs from Random Matrix Theory predictions
- Universality of Parametric Spectral Correlations: Local versus Extended Perturbing Potentials
- Determinantal polynomial wave functions induced by random matrices
- Developments in Random Matrix Theory