Probabilistic particle modeling of quantum wave propagation with reflection, transmission, and coupling

Quantum particles possess both wave and particle natures. When quantum effect devices exploiting the wave nature and the devices described from the view point of particle nature coexist in a system, the following advantages are gained by representing former devices in the same way as we describe the latter devices: First, it is not necessary to compute probability distribution from wave functions and sample device states in accordance with the probability distribution. Secondly, the particle models of the devices are suitable models for conventional circuit simulators. In this paper, simple particle models of two quantum systems operating as wave filters are constructed by applying Nelson´s stochastic quantization theory. The filter characteristics obtained from the wave functions and from the behavior of the particle models were almost equal.