Soliton Trajectories According to Bohmian Quantum Mechanics This Demonstration presents the motion of idealized particles inside a two-soliton using the Korteweg–de Vries equation (KdV):
in
space. The interaction of a two-
soliton depends on the wave numbers p1 and p2 that are related via the dispersion relation to the speed of the each wave. In this case
and
are the velocities of the two solitary waves. The
motion of the particles is governed by the current flow, which is derived from the continuity equation
directly. The guidance equations are based only on the velocity, which is . With
we get the starting points of possible trajectories inside the
wave that are distributed according to the density of the wave and lead to single trajectories: . For the calculation an initial Gaussian distribution is chosen. The system is time reversible:
.The concept is based on the causal interpretation of quantum mechanics
developed by David Bohm.
Korteweg–de Vries Equation (Wolfram MathWorld)
"Soliton Trajectories According to Bohmian Quantum Mechanics" from The Wolfram Demonstrations Project http://demonstrations.wolfram.com/SolitonTrajectoriesAccordingToBohmianQuantumMechanics/ Contributed by: Klaus von Bloh
Betreff: Your submission to The Wolfram Demonstrations Project Absender: Wolfram Demonstrations Project Empfänger:
[email protected] Datum: 11. Sep 2008 17:00
Dear Klaus von Bloh, We are happy to inform you that your submission Soliton Trajectories According to Bohmian Quantum Mechanics to The Wolfram Demonstrations Project has been accepted for publication.
