Parametric Dynamics of Level Spacings in Quantum Chaos
Quantum Physics
2016-09-08 v1 Condensed Matter
Chaotic Dynamics
Abstract
We identify parametric (radial) Bessel-Ornstein-Uhlenbeck stochastic processes as primitive dynamical models of energy level repulsion in irregular quantum systems. Familiar GOE, GUE, GSE and non-Hermitian Ginibre universality classes of spacing distributions arise as special cases in that formalism.
Cite
@article{arxiv.quant-ph/0106011,
title = {Parametric Dynamics of Level Spacings in Quantum Chaos},
author = {Piotr Garbaczewski},
journal= {arXiv preprint arXiv:quant-ph/0106011},
year = {2016}
}