Quantummechanical behaviour in a deterministic model

Abstract

A deterministic model with a large number of continuous and discrete degrees of freedom is described, and a statistical treatment is proposed. The model exactly obeys a Schrodinger equation, which has to be interpreted exactly according to the Copenhagen prescriptions. After applying a Hartree-Fock approximation, the model appears to describe genuine quantum particles that could be used as a starting point for field variables in a quantum field theory. In the deterministic model it is essential that information loss occurs, but the corresponding quantum system is unitary and exactly preserves information.