Discrete Time Dynamical Models and Their Quantum Like Context Dependant Properties

In this paper we demonstrate that a quantum-like interference pattern could appear as a statistical effect of interference of deterministic particles, i.e. particles that have trajectories and obey deterministic dynamical equations, if one introduces a discrete time. The nature of the resulting interference picture does not follow from the geometry of force field, but is strongly attached to the time discreetness parameter. As a demonstration of this concept we consider several numerical experiments of scattering of charged particles on the charged screen with a single slit. The resulting interference picture has a nontrivial minimum-maximum distribution which vanishes, as the time discreetness parameter goes to zero, that could be interpreted as an analog of quantum decoherence. This picture is qualitatively the same as the one one obtained in quantum experiments. email: [email protected] email: [email protected]