Bouncer-Walker Inspired Simulation Models of Quantum Motion

A bouncer-walker system of an elementary particle is derived which reflects the old idea of de Broglie's particle-wave duality. This model contains a possible explanation of the work-energy exchange between the two separated motions, thereby providing an energy quantisation as originally postulated by Max Planck. The system perfectly obeys the Bohmian-type law of motion in full accordance with quantum mechanics. For the calculation of elementary particles' trajectories a ballistic diffusion equation is derived. Therewith, one also accounts for Born's rule for multi-slit systems and develops a set of current rules that directly leads to a new formulation of the guiding equation equivalent to the original one of the de Broglie-Bohm theory, which reproduces Talbot patterns for multi-slit system. Moreover, the sweeper effect is shown to arise when the intensity relation of two beams of a double-slit experiment exhibits a big difference. Then, the low-intensity beam is pushed aside in a sense that its initial propagation straight out of the slit is bent towards the side. A sideways screen as an alternative measurement method is proposed.