2016/03/29 by Andrea Addazi · 8 citations
Physics and Astronomy · #Chaos control and synchronization #Chaotic scattering #Dynamical billiards #Quantum #Quantum chaos #Quantum chaos and dynamical systems #Quantum field theory #Scattering #Scattering theory #Semiclassical physics #gr-qc #hep-th #stochastic dynamics and bifurcation
paper · pdf · doi:10.1142/s0219887816500821
published in International Journal of Geometric Methods in Modern Physics 13(06), 1650082 (World Scientific) · Version accepted in Int. J. of Geometric Methods in Modern Physics. arXiv admin note: substantial text overlap with arXiv:1508.04054, arXiv:1510.09128
arxiv created 2016/03/29 · openalex publication_date 2016/04/04 · openalex created_date 2016/06/24 · arxiv updated 2016/06/29 · openalex updated_date 2026/08/05
We discuss general aspects of non-relativistic quantum chaos theory of scattering of a quantum particle on a system of a large number of naked singularities. We define such a system space-temporal Sinai billiard. We discuss the problem in semiclassical approach. We show that in semiclassical regime the formation of trapped periodic semiclassical orbits inside the system is unavoidable. This leads to general expression of survival probabilities and scattering time delays, expanded to the chaotic Pollicott–Ruelle resonances. Finally, we comment on possible generalizations of these aspects to relativistic quantum field theory.