Non-perturbative applications of the three dimensional model of the Quantum Hall effect

The three dimensional model of the Quantum Hall effect is studied. We use the non-perturbative approach to give a non-perturbative description of the effect of the three dimensional model of the Quantum Hall effect. This model is orthogonal to the model of the quantum Hall effect and does not necessarily obey the Lorenz law. However, we prove that the model obeys the Lorenz law.