Onset of chaos

Energy levels and wave functions

Integrable case B=0	Small perturbation B=0.005
Figure 1: 3000 points of the Peres lattice for the operator L^2 (hbar=0.005)
The intensity of the blue color indicates the level density at given energy. Note that the nonintegrable perturbation affects the most the states close to each other both in energy and in the value of the second integral of motion L^2.
Figure 2: 150 lowest energy levels (hbar=0.02)
Section γ=0 the potential energy surface is drawed by the yellow curve.
Figure 3: Wave functions for the lowest 100 energy levels from Figure 2