Spectral Decompositions for Evolution Opertors of Mixing Dynamical Systems
Condensed Matter
2009-10-31 v1 Mathematical Physics
math.MP
Abstract
Spectral decompositions for the evolution operator on an energy shell in phase space are constructed for the free motion on compact 2D surfaces of constant negative curvature. Applications to quantum chaos and in particular to the recently proposed ballistic sigma-model are briefly discussed.
Keywords
Cite
@article{arxiv.cond-mat/0012330,
title = {Spectral Decompositions for Evolution Opertors of Mixing Dynamical Systems},
author = {Stephen Roberts and Boris Muzykantskii},
journal= {arXiv preprint arXiv:cond-mat/0012330},
year = {2009}
}