Our interpretation of the experimental material rests
essentially on the classical concepts.
In this appendix I present a number of typical examples of quantum stochastic webs and localized quantum dynamics that are generated by the quantum map (2.37). See section 3.3 for a more detailed description of how the quantum states shown in these pictures are generated. In chapters 4 and 5 some important aspects of the quantum dynamics leading to these are described and explained.
Having studied the dynamics for several different initial states it has turned out that in the resonance cases (1.33) essentially there are just two important types of : those located in quantum phase space in one of the meshes of the classical stochastic web, and those centered in a stochastic region of the classical web, i.e. in a channel of the web. All other initial states are combinations of these two types, and regardless of the actual position of the ``initial mesh'' or ``initial channel'' chosen for , the dynamics yield comparable results. Therefore, in the following sections two types of initial states are considered: states centered around the origin of phase space, i.e. in a mesh, and states centered around one of those intersections of stochastic channels that are closest to the origin, at with suitable .
For better comparison, depending on the value of ,
harmonic oscillator eigenstates
In chapter 3 I have
the way in which
of the basis
for expanding the quantum states affects the accuracy of the algorithm.
Only the phase space region
For the series of figures shown below, the parameters and are varied more or less systematically in order to yield states which are as prototypical as possible. The states obtained in this way are then converted into their corresponding HUSIMI distributions (cf. appendix A). The lines in the following contour plots of HUSIMI distributions are drawn at 10%, 20%, ..., 90%, 99% of the respective maximum values of for each state .