Spectral Decompositions for Evolution Opertors of Mixing Dynamical Systems
arXiv:cond-mat/0012330 · doi:10.1088/0305-4470/33/48/324
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.