Nonuniversality in level dynamics
arXiv:chao-dyn/9611019 · doi:10.1103/PhysRevE.55.2446
Abstract
Statistical properties of parametric motion in ensembles of Hermitian banded random matrices are studied. We analyze the distribution of level velocities and level curvatures as well as their correlation functions in the crossover regime between three universality classes. It is shown that the statistical properties of level dynamics are in general non-universal and strongly depend on the way in which the parametric dynamics is introduced.
24 pages + 10 figures (not included, avaliable from the author), submitted to Phys. Rev. E
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- Crossover between the Gaussian orthogonal ensemble, the Gaussian unitary ensemble, and Poissonian statistics
- Quantum chaos and level dynamics