Parametric dynamics of level spacings in quantum chaos. (English) Zbl 0983.81023

Garbaczewski, Piotr

Phys. Lett., A 293, No. 1-2, 23-28 (2002).

Summary: 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-type (Wigner surmise) level spacing distributions arise as special cases in that formalism, as densities of asymptotic invariant (equilibrium) probability measures.

MSC:

81Q50	Quantum chaos
60K40	Other physical applications of random processes

Keywords:

Bessel-Ornstein-Uhlenbeck stochastic processes; energy level repulsion; asymptotic invariant equilibrium probability measures

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