
Figure 1: Trace of the Hamiltonian matrix 
The Hamiltonian matrix is constructed in the oscillator basis with a parameterA0.
The best value is A0=A0min/2 (it roughly corresponds with the position of the minimum of the trace).


Figure 2: Energy versus the ordering number of the energy level 
Various lines correspond to various A0.
The lower the curve the better.
The convergence is achieved if the energies of several successive A0 have the same value.


 Figure 3: Eigenvector convergence 
A sum of the absolute values of the last 100 components of the eigenvectors.
The convergence is achieved if this sum is almost zero.



Figure 4: Peres lattices 
The convergence is achieved for those states
whose lattice points are at same places for various successive values of A0.

