![Trace of the Hamiltonian matrix](results/errors/ev/B=0.24/150/0.01_E/trace.png) |
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).
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![Convergence of energy levels](results/errors/ev/B=0.24/150/0.01_E/ev.png) |
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.
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![Convergence of eigenvectors 0](results/errors/ev/B=0.24/150/0.01_E/sum_0.png)
![Convergence of eigenvectors 1](results/errors/ev/B=0.24/150/0.01_E/sum_1.png)
![Convergence of eigenvectors 2](results/errors/ev/B=0.24/150/0.01_E/sum_2.png)
![Convergence of eigenvectors 3](results/errors/ev/B=0.24/150/0.01_E/sum_3.png)
![Convergence of eigenvectors 4](results/errors/ev/B=0.24/150/0.01_E/sum_4.png)
![Convergence of eigenvectors 5](results/errors/ev/B=0.24/150/0.01_E/sum_5.png)
![Convergence of eigenvectors 6](results/errors/ev/B=0.24/150/0.01_E/sum_6.png)
![Convergence of eigenvectors 7](results/errors/ev/B=0.24/150/0.01_E/sum_7.png)
![Convergence of eigenvectors 8](results/errors/ev/B=0.24/150/0.01_E/sum_8.png)
![Convergence of eigenvectors 9](results/errors/ev/B=0.24/150/0.01_E/sum_9.png)
![Convergence of eigenvectors 10](results/errors/ev/B=0.24/150/0.01_E/sum_10.png)
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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.
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![Convergence of Peres lattices 0](results/errors/ev/B=0.24/150/0.01_E/peres_lattice_0.png)
![Convergence of Peres lattices 1](results/errors/ev/B=0.24/150/0.01_E/peres_lattice_1.png)
![Convergence of Peres lattices 2](results/errors/ev/B=0.24/150/0.01_E/peres_lattice_2.png)
![Convergence of Peres lattices 3](results/errors/ev/B=0.24/150/0.01_E/peres_lattice_3.png)
![Convergence of Peres lattices 4](results/errors/ev/B=0.24/150/0.01_E/peres_lattice_4.png)
![Convergence of Peres lattices 5](results/errors/ev/B=0.24/150/0.01_E/peres_lattice_5.png)
![Convergence of Peres lattices 6](results/errors/ev/B=0.24/150/0.01_E/peres_lattice_6.png)
![Convergence of Peres lattices 7](results/errors/ev/B=0.24/150/0.01_E/peres_lattice_7.png)
![Convergence of Peres lattices 8](results/errors/ev/B=0.24/150/0.01_E/peres_lattice_8.png)
![Convergence of Peres lattices 9](results/errors/ev/B=0.24/150/0.01_E/peres_lattice_9.png)
![Convergence of Peres lattices 10](results/errors/ev/B=0.24/150/0.01_E/peres_lattice_10.png)
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Figure 4: Peres lattices |
The convergence is achieved for those states
whose lattice points are at same places for various successive values of A0.
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