A Moving Quantum Wave with Negligible Dispersion

A Gaussian quantum wave packet in an approximately circular potential with infinitely high walls in the causal interpretation is displayed. The quantum mechanical billiard is given by the Schrödinger equation with Dirichlet boundary condition. It describes a wave function of a shape fixed at a boundary.
The causal interpretation of quantum mechanics is a nonlocal theory that would solve many of the paradoxes of quantum mechanics, such as the measurement problem, Schrödinger's cat problem, and the collapse of the wave function. In the causal interpretation, every particle has a definite position and momentum at all times, but the trajectories are not measurable directly. The graphics show the squared wavefunction and the position of the quantum particles (red points), the complete trajectories and a three dimensional projection of the trajectories, where the z-axis is the time. The time axis is scaled to fit.

Programmed by: Klaus von Bloh

Category:

Education

Tags:

• David Bohm
• quantum motion
• Bohm trajectories
• Bohmian mechanics
• Louis de Broglie
• Schrödinger equation
• elliptical stadium potential
• causal interpretation
• de Broglie Bohm interpretation
• hidden variables
• ontological interpretation
• pilot wave theory
• discrete Schrödinger equation
• quantum
• streamlines