Exponential spreading and singular behavior of quantum dynamics near hyperbolic points
arXiv:1302.0609 · doi:10.1103/PhysRevE.87.054901
Abstract
Quantum dynamics of a particle in the vicinity of a hyperbolic point is considered. Expectation values of dynamical variables are calculated, and the singular behavior is analyzed. Exponentially fast extension of quantum dynamics is obtained, and conditions for this realization are analyzed.