Quantum chaos inside space-temporal Sinai billiards
Abstract
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 dis- cuss the problem in semiclassical approach. We show that in semiclassical regime the formation of trapped periodic semiclassical orbits inside the sys- tem is unavoidable. This leads to general expression of survival probabilities and scattering time delays, expanded to the chaotic Pollicott-Ruelle reso- nances. Finally, we comment on possible generalizations of these aspects to relativistic quantum field theory.
Keywords
Cite
@article{arxiv.1603.08719,
title = {Quantum chaos inside space-temporal Sinai billiards},
author = {Andrea Addazi},
journal= {arXiv preprint arXiv:1603.08719},
year = {2016}
}
Comments
Version accepted in Int. J. of Geometric Methods in Modern Physics. arXiv admin note: substantial text overlap with arXiv:1508.04054, arXiv:1510.09128