an:01693848
Zbl 0983.81023
Garbaczewski, Piotr
Parametric dynamics of level spacings in quantum chaos
EN
Phys. Lett., A 293, No. 1-2, 23-28 (2002).
00105788
2002
j
81Q50 60K40
Bessel-Ornstein-Uhlenbeck stochastic processes; energy level repulsion; asymptotic invariant equilibrium probability measures
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.