Three-Soliton Collision According to Bohmian Quantum Mechanics

The motion of idealized particles inside a three - soliton using the Korteweg-de Vries equation (KdV) in the (x,t) - space is presented. The interaction of a three-soliton depends on the wave numbers p1, p2 and p3 which are related via the dispersion relation to the speed of the each wave. The motion of the particles is governed by the current flow, which is derived from the continuity equation directly. The three-soliton implies that the higher amplitude wave is narrower and faster than the wave with the minor amplitude. The trajectories of the individual solitons show that in the three-soliton collision the amplitude and the velocity are exchanged, rather than passing through one another. On the left you can see the position of the particles (yellow), the wave amplitude (white) and the velocity (red). On the right the graphic shows the squared wavefunction and the complete trajectories. The velocity are scaled to fit.

Programmed by: Klaus von Bloh

Category:

Education

Tags:

• Computer science
• Three Soliton
• Korteweg-de Vries
• trajectories
• David Bohm
• streamlines
• hidden variables
• ontological interpretation
• pilot wave theory
• computer simulation
• de Broglie Bohm interpretation
• dBB interpretation