Hexagonal Quantum Stochastic Webs

Similar phenomena as for $T=\pi /2$ can be observed for $T=2\pi /3$ ($q=3$). Here, the grid -- again displayed via thin lines in the figures -- underlying the skeleton of the classical webs is hexagonal, as can be concluded from figure 1.10a or by inspection of equation (1.47a). As in the previous section, depending on the values of $\hbar$ and $V_0$, the quantum states evolve into a phase space pattern that is more or less similar to their classical counterpart in figure 1.3a. (That figure is for $T=\pi /3$, actually, but $T=2\pi /3$ generates a very similar picture).

Note that for $T=\pi /3$ ($q=6$), qualitatively equivalent quantum dynamics is obtained, with HUSIMI distributions reproducing the classical webs in quite the same way as for $T=2\pi /3$. See figures 4.4-4.6 for some typical examples.