kvb100b

Bohmian Mechanics Examples

The causal interpretation (often called: hidden variables theory, ontological interpretation, pilot wave theory or Bohmian mechanics) of quantum theory is a nonrelativistic theory of point particles moving along trajectories governed by a so called quantum potential. 
The theory was developed by de Broglie in the 1920s for the Schrödinger equation and was first introduced at the famous Solvay conference in 1927. The resulting dynamics from the guidance equation were called "pilot wave theory" by de Broglie. The pilot wave theory was rediscovered by David Bohm in 1952. Bohm called it hidden variables theory and later causal interpretation.
An introduction to the Bohm de Broglie theory with Mathematica could be found:
https://community.wolfram.com/groups/-/m/t/3000266
Please, see also: Wolfram Demonstrations Project  
https://community.wolfram.com/web/kvbloh
https://demonstrations.wolfram.com/authors/klaus-von-bloh