Parametric Dynamics of Level Spacings in Quantum Chaos

Details Parametric Dynamics of Level Spacings in Quantum Chaos Parametric Dynamics of Level Spacings in Quantum Chaos

2001-06-04

arxiv.org/abs/quant-ph/0106011v1

Phys. Lett. A 293, (2002), 23-28

Physics

Quantum Physics

Scientific paper

10.1016/S0375-9601(01)00826-X

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.

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