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quant-ph2001
Parametric Dynamics of Level Spacings in Quantum Chaos
Piotr Garbaczewski
We identify parametric (radial) Bessel-Ornstein-Uhlenbeck stochastic processes as primitive dynamical models of energy level repulsion in irregular quantum systems. Familiar GOE, G…
quant-ph2001
Random Behaviour in Quantum Chaos
Piotr Garbaczewski
We investigate toy dynamical models of energy - level repulsion in quantum (quasi)energy eigenvalue sequences.
cond-mat.stat-mech2001
Signatures of Randomness in Quantum Chaos
Piotr Garbaczewski
We investigate toy dynamical models of energy-level repulsion in quantum eigenvalue sequences. We focus on parametric (with respect to a running coupling or "complexity" parameter)…