We extend the semiclassical theory of short periodic orbits [M. Novaes et al., Phys. Rev. E 80, 035202(R) (2009)] to partially open quantum maps, which correspond to classical maps where the trajectories are partially ...

We show that the Lyapunov exponents of a periodic orbit can be easily obtained from the eigenvalues of the monodromy matrix. It turns out that the Lyapunov exponents of simply stable periodic orbits are all zero, simply ...

We investigate the properties of the semiclassical short periodic orbit approach for the study of open quantum maps that was recently introduced. We provide solid numerical evidence, for the paradigmatic systems of the ...

In this paper, we present a method to find periodic solutions for certain types of nonsmooth differential equations or nonsmooth delay differential equations. We apply the method to three examples, the first is a second-order ...

This work proposes a new procedure for localizing molecular and natural orbitals. The localization criterion presented here is based on the partitioning of the overlap matrix into atomic contributions within the theory of ...

By analyzing a paradigmatic example of the theory of dissipative systems - the classical and quantum dissipative standard map - we are able to explain the main features of the decay to the quantum equilibrium state. The ...