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.

Autorentext

Johannes Mesa Pascasio graduated in electrical engineering (1994) and received his PhD in physics (2017) from Technical University Vienna. He worked in the fields of electrodynamics, microelectronics, and quantum mechanics. Presently he is a member of the Austrian Institute for Nonlinear Studies, AINS.